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Bibiography
BAER, R. Linear algebra and projective geometry, Academic Press, 1952.
CLIFFORD, A.H. and G.B. PRESTON, The algebraic theory of semigroups, Math. Surverys No. 7, Amer. Math. Soc., Providence, Vol. I, 1961; Vol. II, 1967.
FUCHS, L., Partially ordered algebraic systems, Addison-Wesley, Reading, 1963.
HALL, M., The theory of groups, MacMillan, New York, 1959.
JACOBSON, N., Structure of rings, Amer. Math. Soc. Colloq. Publ. Vol. 37, Providence, 1956.
JAFFARD, P., Les systèmes d’idéaux, Dunod, Paris, 1960.
KROHN, K., J. RHODES and B. TILSON, Lectures on finite semigroups, Vol. I and II, The Univ. of California at Berkeley, 1967.
LJAPIN, E.S., Semigroups, Fizmatgiz, 1960 (in Russian); English translation: Amer. Math. Soc., 2nd edition 1968.
PETRICH, M., Topics in semigroups, The Pennsylvania State University, 1967.
PETRICH, M., Semigroups and rings of linear transformations, The Pennsylvania State University, Summer 1969.
PLOTKIN, B.I., Automorphism groups of algebraic systems, Nauka, Moscow, 1966 (in Russian).
RÉDEI, L., Algebra, Vol. I, Pergamon Press, Oxford-New York, 1967.
SPECHT, W., Gruppentheorie, Springer, 1956.
Semigroups
AULT, J.E. Extensions of primitive inverse semigroups, Doctoral Dissertation, The Pennsylvania State University, 1970.
BERTHIAUME, P., The injective envelope of S-sets. Canad. Math. Bull. 10(1967), 261–273.
CLIFFORD, A.H., Semigroups admitting relative inverses, Ann. of Math. 42(1941), 1037–1049.
—, Extensions of semigroups, Trans. Amer. Math. Soc. 68(1950), 165–173.
COUDRON, A., Sur les extensions de demi-groupes réciproques, Bull. Soc. Roy. Sci. Liège 37(1968), 409–419.
D’ALARCAO, H., Idempotent separating extensions of inverse semigroups, J. Austr. Math. Soc. 9(1969), 211–217.
DELORME, M., Sur la platitude des demi-groupes de fractions, C.R. Acad. Sci., Paris 269(1969), 630–632.
DOTSON, W.G., Jr., A note on generalized semilinear transformations, Math. Mag. 43(1970), 147–149.
FAJANS, V.G., Isomorphisms of semigroups of invertible linear transformations leaving a conus invariant, Izv. Vys. Uch. Zav. Mat. 12(91) (1969), 93–98 (in Russian).
—, Isomorphisms of semigroups of affine transformations, Sibirski Mat. Zh. 9(1970), 193–198 (in Russian).
FORT, J., Eléments injectifs (ou compléments) dans les treillis modulaires, Sém. Dubreil-Pisot, Univ. de Paris 1963/64, no. 5, 23pp.
GLUSKIN, L.M., On semigroups of matrices, Izv. Akad. Nauk SSSR 22(1958), 439–448 (in Russian).
—, Semigroups and rings of linear transformations, Doklady Akad. Nauk SSSR 127 (1959), 1151–1154 (in Russian).
—, Semigroups and rings of endomorphisms of linear spaces, Izv. Akad. Nauk SSSR 23(1959), 841–870 (in Russian); Amer. Math. Soc. Translations 45 (1965), 105–137.
—, Transitive semigroups of transformations, Doklady Akad. Nauk SSSR 129(1959), 16–18 (in Russian).
—, Ideals of semigroups of transformations, Mat. Sbornik 47(1959), 111–130 (in Russian).
—, Densely embedded ideals of semigroups, Doklady Akad. Nauk SSSR 131(1960), 1004–1006 (in Russian).
—, Semigroups and rings of endomorphisms of linear spaces II, Izv. Akad. Nauk SSSR 25(1961), 809–814 (in Russian); Amer. Math. Soc. Translations 45(1965), 139–145.
—, Ideals of semigroups, Mat. Sbornik 55(1961), 421–448; Correction: ibid. GLUSKIN, L.M., Ideals of semigroups, Mat. Sbornik 73(1967), 303 (in Russian).
—, Semigroups of transformations (autoreferat of the doctoral dissertation), Usp. Mat. Nauk 17(106)(1962), 233–240 (in Russian).
GLUSKIN, L.M., On dense embeddings, Dopovidi Akad. Nauk Ukrain. RSR 8(1962), 1003–1006 (in Ukrainian; Russian and English summaries).
—, On dense embeddings, Mat. Sbornik 61(1963), 175–206 (in Russian).
GLUSKIN, L.M., Algebras of multiplace functions, Mezhv. Nauch. Simp. Obsh. Alg., Tartu (1966), 32–37 (in Russian).
—, Automorphisms of semigroups of binary relations, Mat. Zap. Ural. Gos. Univ. 6, no. 1(1967), 44–54, (in Russian).
—, Dense embeddings in groups, 10th All-Union Algebra Coll. Summary of abstracts and papers 2(1969), 16–17 (in Russian).
GLUSKIN, L.M., On bi-ideals of semigroups, Izv. Vys. Uch. Zav. Mat. (in Russian) (to appear).
GLUSKIN, L.M., Dense embeddings in function algebras, Dopovidi Akad. Nauk Ukrain. RSR, Series A (in Ukrainian; English summary) (to appear).
GORALČÍK, P., On translations of semigroups III. Transformations with increasing and transformations with irregular surjective part, Mat. Čas. 18(1968), 273–282 (in Russian).
GORALČÍK, P. and Z. HEDRLÍN, On translations of semigroups II. Surjective transformations, Mat. Čas. 18(1968), 263–272 (in Russian).
GRILLET, M.P., On strongly strict extensions of semigroups (to appear).
GRILLET, P.A., Sur les extensions idéales d’un demi-groupe, Sém. Dubreil-Pisot, Univ. de Paris 18(1964/65), no. 1, 27 pp.
GRILLET, P.A., Extensions idéales strictes et pures d’un demi-groupe, Sém. Dubreil-Pisot, Univ. de Paris 18(1964/65) no. 11, 21 pp.
GRILLET, P.A., The completion of partial semigroups and the existence of ideal extensions (to appear).
GRILLET, P.A., and M.P. GRILLET, On strict extensions of semigroups (to appear).
GRILLET, P.A. and M. PETRICH, Ideal extensions of semigroups, Pacific J. Math. 26(1968), 493–508.
GRILLET, P.A. and M. PETRICH, Free products of semigroups amalgamating an ideal, J. London Math. Soc. (to appear).
HALL, R.E., The structure of certain commutative separative and commutative cancellative semigroups, Doctoral Dissertation, The Pennsylvania State University, 1969.
HANCOCK, V.R., On complete semimodules, Proc. Amer. Math. Soc. 11(1960), 71–76.
—, Commutative Schreier semigroup extensions of a group, Acta Sci. Math. Szeged 25(1964), 129–134.
HEDRLÍN, Z., Commutative systems as generalized semigroups, Doklady Akad. Nauk SSSR 164(1965), 483–486 (in Russian).
HEDRLÍN, Z. and P. GORALČÍK, On translations of semigroups I. Periodic and quasi-periodic transformations, Mat. Cas. 18(1968), 161–176, (in Russian).
HEUER, C.V. and D.W. MILLER, An extension problem for cancellative semigroups, Trans. Amer. Math. Soc. 122(1966), 499–515.
INASARIDZE, H.N., Extensions of semigroups, Soob. Akad. Nauk. Gruz. SSR 33(1964), 263–269 (in Russian).
—, Extensions of regular semigroups, Soob. Akad. Nauk Gruz. SSR 39(1965), 3–10 (in Russian).
—, Extensions of semigroups with zero, Soob. Akad. Nauk Gruz. SSR 41(1966), 513–520 (in Russian).
—, Extensions of commutative inverse semigroups, Soob. Akad. Nauk Gruz. SSR 46(1967), 11–18 (in Russian).
KALMANOVICH, A.M., Semigroups of partial endomorphisms of a graph, Dopovidi Akad. Nauk Ukrain. RSR, no. 2 (1965), 147–150 (in Ukrainian; Russian and English summaries).
—, The semigroup of one-to-one partial endomorphisms of a graph, Vest. Harkov. Gos. Univ. Ser. Meh.-Mat. 33 (1967), 54–64 (in Russian).
—, Densely embedded ideals of semigroups of multivalued partial endomorphisms of a graph, Dopovidi Akad. Nauk Ukrain. RSR, no. 5 (1967), 406–410 (in Ukrainian; Russian and English summaries).
KIMURA, N., T. TAMURA and R. MERKEL, Semigroups in which all subsemigroups are left ideals, Canad. J. Math. 17 (1965), 52–62.
KUZNECOV, V.I., On h-isomorphisms of a semigroup with a densely embedded completely simple ideal, Dopovidi Akad. Nauk Ukrain. RSR, no. 11 (1964), 1429–1431 (in Ukrainian; English summary).
LALLEMENT, C., Demi-groupes réguliers, Annali Mat. pura ed appl. 77 (1967), 47–130.
LALLEMENT, G. and M. PETRICH, Irreducible matrix representations of finite semigroups, Trans. Amer. Math. Soc. 139 (1969), 393–412.
LALLEMENT, G. and M. PETRICH, Extensions of a Brandt semigroup by another, Canad. J. Math. (to appear).
LJAPIN, E.S., Associative systems of all partial transformations, Doklady Akad. Nauk SSSR 88 (1953), 13–15; Correction: ibid Doklady Akad. Nauk SSSR 92(1953), 692 (in Russian).
—, Abstract characteristic of certain semigroups of transformations, Uch. Zap. Len. Gos. Ped. Inst. 103 (1955), 5–30 (in Russian).
—, On representations of semigroups by partial transformations, Mat. Sbornik 52 (1960), 589–596 (in Russian).
LJAPIN, E.S., On conditions for dense embedding in semigroups, Uch. Zap. Len. Gos. Ped. Inst. 238 (1962), 3–20 (in Russian).
MALININ, V.V., On the semigroup of stochastic matrices, First All-Union Symp. Theory Semigr. Sverdlovsk (1969), 53–55 (in Russian).
—, Abstract characteristic of the semigroup of stochastic matrices, Mat. Nauch.-Tekh. Konf. issue 2, Izd. VVITKY, Leningrad (1969), 65–71 (in Russian).
McNEIL, P.E., The structure of certain semigroups with two idempotents, Doctoral Dissertation, The Pennsylvania State University, 1968.
McNEIL, P.E., Group extension of null semigroups, Duke Math. J. (to appear).
MIHALEV, A.V., Isomorphisms of the semigroup of endomorphisms of modules, I, Algebra i Logika 5 (1966), 59–67, (in Russian).
—, Isomorphisms of the semigroup of endomorphisms of modules, II, Algebra i Logika 6 (1967), 35–47 (in Russian).
MIHALEV, A.V. and M.A. SHATALOVA, Automorphisms and antiautomorphisms of the semigroup of invertible matrices with nonnegative elements, Mat. Sbornik 81(1970), 600–609 (in Russian).
PETRICH, M., On extensions of semigroups determined by partial homomorphisms, Nederl. Akad. Wetensch. Indag. 28 (1966), 49–51.
—, Sur certaines classes de demigroupes III, Acad. Roy. Belg. Cl. Sc. 53 (1967), 60–73.
—, Inflation of a completely O-simple semigroup, Bull. Soc. Math. Belg. 19 (1967), 42–54.
—, Congruences on extensions of semigroups, Duke Math. J. 34 (1967), 215–224.
—, The translational hull of a completely O-simple semigroup, Glasgow Math. J. 9 (1968), 1–11.
PETRICH, M., Translational hull and semigroups of binary relations, Glasgow Math. J. 9 (1968), 12–21.
—, Representations of semigroups and the translational hull of a regular Rees matrix semigroup, Trans. Amer. Math. Soc. 143 (1969), 303–318.
—, The semigroup of endomorphisms of a linear manifold, Duke Math. J. 36 (1969), 145–152.
PETRICH, M., Certain dense embeddings of regular semigroups, Trans. Amer. Math. Soc. (to appear).
PETRICH, M. and P.A. GRILLET, Extensions of an arbitrary semigroup, J. reine angew. Math. (to appear).
PONIZOVSKI, I.S., Inverse semigroups with a finite number of idempotents, Doklady Akad. Nauk SSSR 143 (1962), 1282–1285 (in Russian).
—, On semigroups with given ideal chains, Mat. Sbornik 61 (1963), 377–388 (in Russian).
—, Transitive representations by transformations of a class of semigroups, Sibirski Mat. Zh. 5 (1964), 896–903 (in Russian).
—, A remark on inverse semigroups, Usp. Mat. Nauk 20 (126) (1965), 147–148 (in Russian).
POPOVA, L.M., Semigroups of partial endomorphisms of a set with a relation, Sibirski Mat. Zh. 4 (1963), 309–317 (in Russian).
POSEY, E.E., Endomorphisms and translations of semigroups, M.A. Thesis, University of Tennessee, 1949.
RABEN, A., On densely embedded ideals in categories, Research in Algebra, Coll. of papers, Saratov Univ. (1969), 41–51 (in Russian).
DÉDEI, L., Die Verallgemeinerung der Schreierschen Erweiterungstheorie, Acta Sci. Math. Szeged 14 (1952), 252–273.
SCHEIN, B.M., On translations in semigroups and groups, Volzhski Mat. Sbornik 2 (1964), 163–169 (in Russian).
—, Atomic semiheaps and involutory semigroups, Izv. Vys. Uch. Zav. Matematika, no. 3 (1965), 172–184 (in Russian).
SCHEIN, B.M., Representation of semigroups, First All-Union Symp. Theory Semigr., Sverdlovsk (1969), 79–89 (in Russian).
—, Ordered sets, semilattices, distributive lattices and Boolean algebras with homomorphic endomorphism semigroups, Fund. Math. 68 (1970), 31–50.
SCHREIER, J., Über Abbildungen einer abstrakten Menge auf ihre Teilmengen, Fund. Math. 28 (1937), 260–264.
SCHWARZ, Š., Semigroups in which every proper subideal is a group, Acta Math. Sci. Szeged 21 (1960), 125–134.
SHEVRIN, L.N., On densely embedded ideals of semigroups, Doklady Akad. Nauk SSSR 131 (1960), 765–768; Correction: ibid. Doklady Akad. Nauk SSSR 164(1965), 1214 (in Russian).
SHEVRIN, L.N., Densely embedded ideals of semigroups and associative rings, Semigroup Symposium, Smolenice, Czechoslovakia, 1968 (in Russian).
—, Densely embedded ideals of semigroups, Mat. Sbornik 79 (1969), 425–432 (in Russian).
SHIRJAEV, V.M., On the semigroup of pairs of inner translations of a semigroup, Vesci Akad. Nauk BSSR, Ser. fiz.-matem. n. no. 4 (1969), 99–107 (in Russian).
SHNEPERMAN, L.B., Semigroups of endomorphisms of quasi-ordered sets, Uch. Zap Len. Gos. Ped. Inst. 238 (1962), 21–37 (in Russian).
—, Semigroups of continuous functions, Doklady Akad. Nauk SSSR 144 (1962), 509–511 (in Russian).
SHNEPERMAN, L.B., Semigroups of continuous transformations and homeomorphisms of a simple arc, Doklady Akad. Nauk SSSR 146(1962), 1301–1304 (in Russian).
SHUTOV, E.G., On semigroups of almost identical transformations, Doklady Akad. Nauk SSSR 134 (1960), 292–295 (in Russian).
—, On translations of semigroups, Usp. Mat. Nauk 19(118) (1964), 215–216 (in Russian).
SKORNJAKOV, L.A., Left chained semigroups, Sibirski Mat. Zh. 11(1970), 168–182 (in Russian).
SZÁSZ, G., Die Translationen der Halbverbände, Acta Sci. Math. Szeged 17(1956), 165–169.
SZÁSZ, G. und J. SZENDREI, Über die Translationen der Halbverbände, Acta Sci. Math. Szeged 18(1957), 44–47.
TAMURA, T., The theory of construction of finite semigroups II, Osaka Math. J. 9(1957), 1–42.
—, Notes on translations of a semigroup, Kodai Math. Sem. Rep. 10(1958), 9–26.
—, Decomposability of extension and its application to finite semigroups Proc. Japan Acad. 43(1967), 93–97.
TAMURA, T. and D.G. BURNELL, A note on the extension of semigroups with operators, Proc. Japan Acad. 38(1962), 435–438.
TAMURA, T. and N. GRAHAM, Certain embedding problems of semigroups, Proc. Japan Acad. 40 (1964), 8–13.
TROHIMENKO, V.S., On algebras of multiplace partial transformations, Trudy Mol. Uch. Mat. i Meh., Izd. Saratov. Univ. (1969), 136–142 (in Russian).
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—, Semigroups in which each ideal is a retract, J. Austr. Math. Soc. 9(1969), 239–245.
VAZHENIN, Yu. M., Directed transformations of an arbitrary ordered set, First All-Union Symp. Theory Semigr., Sverdlovsk (1969), 8–9 (in Russian).
—, Semigroups of inf-endomorphisms of ordered sets, Mat. Zap. Ural. Gos. Univ. 7, no. 1 (1969), 23–34 (in Russian).
VERBEEK, L.A.M., Semigroup extensions, Doctoral Dissertation, Delft, 1968.
WARNE, R.J., Extensions of Brandt semigroups, Bull. Amer. Math. Soc. 72(1966), 683–684.
—, Extensions of completely 0-simple semigroups by completely 0-simple semigroups, Proc. Amer. Math. Soc. 17(1966), 524–526.
—, Extensions of Brandt semigroups and applications, Illinois J. Math. 10(1966), 652–660.
WIEGANDT, R., On complete semi-groups, Acta Sci. Math. Szeged 19(1958), 93–97.
—, On complete semi-modules, Acta Sci. Math. Szeged 19(1958), 219–223.
YAMADA, M., Construction of finite commutative semigroups, Bull. Shimane Univ. 15(1965), 1–11.
—, Commutative ideal extensions of null semigroups, Mem Fac. Lit. Sci. Shimane Univ. 1 (1968), 8–22.
YOSHIDA, R, Ideal extensions of semigroups and compound semigroups, Mem. Res. Inst. Sci. Eng. Ritumeikan Univ. 13(1965), 1–8.
ZARETSKI, K.A., Abstract characteristic of the semigroup of all binary relations, Uch. Zap. Len. Gos. Ped. Inst. 183(1958), 252–263 (in Russian).
ARHIPOV, L.M., Absolutely minimal overring with identity, Algebra i Logika 8(1969), 271–283 (in Russian).
AUMERCIER, S., Problèmes d’extensions dans les anneaux, Comptes Rendus, Acad. Sci., Paris 262 (1966), 733–735, 1031–1033, 1095–1097.
BROWN, B. and N.H. McCOY, Rings with unit element which contain a given ring, Duke Math. J. 13 (1946), 9–20.
CHEW KIM LIN, Extensions of rings and modules, Doctoral Dissertation, University of British Columbia, 1965.
DLAB, V., The structure of torsion-free rings, Comm. Math. Univ. Car. 9(1968), 41–46.
DORROH, J.L., Concerning adjunctions to algebras, Bull. Amer. Math. Soc. 38(1932), 85–88.
EIDELHEIT, M., On isomorphisms of rings of linear operators, Studia Math. 9(1940), 97–105.
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FUCHS, L. and I. HALPERIN, On the embedding of a regular ring in a regular ring with identity, Fund. Math. 54(1964), 285–290.
FUCHS, L. and K.M. RANGASWAMY, On generalized regular rings, Math. Zeitschr. 107(1968), 71–81.
FUNAYAMA, N., Imbedding a regular ring in a regular ring with identity, Nagoya Math. J. 27 (1966), 61–64.
HOTZEL, E., On simple rings with minimal one-sided ideals (to appear).
JOHNSON, R.E., The extended centralizer of a ring over a module, Proc. Amer. Math. Soc. 2 (1951), 891–895.
—, The embedding of a ring as an ideal in another ring, Duke Math. J. 20(1953), 569–573.
—, Rings with unique addition, Proc. Amer. Math. Soc. 9(1958), 57–61.
JOHNSON, R.E. and F. KIOKEMEISTER, The endomorphisms of the total operator domain of an infinite module, Trans. Amer. Math. Soc. 62(1947), 404–430.
KOHLS, C.W., On the embedding of a generalized regular ring in a ring with identity, Michigan Math. J. 3(1955–6), 165–168.
— Properties inherited by ring extensions, Michigan Math. J. 12(1965), 399–404.
KOHLS, C.W., Extensions of a ring by a ring with a bimodule structure (to appear).
KOHLS, C.W. and L.J. LARDY, Some ring extensions with matrix representations, Pacific J. Math. 26 (1968), 341–348.
LEEUWEN, L.C.A. van, On the holomorphs of a ring, Proc. Nederl. Akad. Wetensch. 61(1958), 162–169.
—, Holomorphe von endlichen Ringen, Proc. Nederl. Akad. Wetensch. 68(1965), 632–645.
—, On the endomorphism ring of direct sums of groups, Acta Sci. Math. Szeged 28(1967), 21–29.
LOONSTRA, F., Extensions of R-modules, Symp. Mat. 1967–1968, Roma, Vol. 1, Gubbio 1968, 15–24.
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MARTINDALE, W.S., III, When are multiplicative mappings additive?, Proc. Amer. Math. Soc. 21 (1969), 695–698.
MUELLER, U. and M. PETRICH, Erweiterungen eines Ringes durch eine direkte Summe zyklischer Ringe, J. reine angew. Math. (to appear).
MUELLER, U. and M. PETRICH, Die Translationshülle une wesentliche Erweiterungen eines zyklischen Ringes, J. reine angew. Math. (to appear).
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PETRICH, M., On the ring of bitranslations of certain rings, Acta Math. Acad. Sci. Hung. 20 (1969), 111–120.
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—, Die Holomorphentheorie für Gruppen und Ringe, Acta Math. Acad. Sci. Hung. 5 (1954), 169–194.
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—, On rings admitting only direct extensions, Publ. Math. Debrecen 3 (1954), 180–182.
SZENDREI, J., Eine neue Definition des Holomorphes der Gruppe und des Holomorphes des Ringes, Acta Math. Acad. Sci. Hung. 5 (1954), 197–201.
—, Zur Holomorphentheorie der Ringe, Publ. Math. Debrecen 4 (1956), 450–454.
SZEP, J., Über eine neue Erweiterung von Ringen. I, Acta Sci. Math. Szeged 19 (1958), 51–62.
—, Über eine neue Erweiterung von Ringen. II, Acta Sci. Math. Szeged 20 (1959), 202–214.
SZEP, J., Sui semigruppi che contengono unità, Symp. Mat., 1967–1968, Roma, Vol. 1, Gubbio 1968, 99–108.
TOMASO, M., Immersione di un annello in uno “minimale” dotato di unità, Rend. Sem. mat. Univ. Padova 33 (1963), 85–90.
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WEINERT, H.J. and R. EILHAUER, Zur Holomorphentheorie der Ringe, Acta Sci. Math. Szeged 24 (1963), 28–33.
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—, Isomorphisms of the endomorphism ring of a free module over a principal left ideal domain, Michigan Math. J. 9 (1962), 69–75.
—, Isomorphisms of the endomorphism rings of torsion-free modules, Proc. Amer. Math. Soc. 13 (1962), 712–714.
Algebras
BUCK, R.C., Two remarks on the regular representation of an algebra, Amer. Math. Monthly 67 (1960), 997–998.
BUSBY, R.C., On structure spaces and extensions of C*-algebras, J. Functional Anal. 1 (1967), 370–377.
—, Double centralizers and extensions of C*-algebras, Trans. Amer. Math. Soc. 132 (1968), 79–99.
FELL, H. and A.J.G. GOLDMAN, Realization of semimultipliers as multipliers, Amer. Math. Monthly 72 (1965), 639–641.
HELGASON, S., Multipliers of Banach algebras, Ann. of Math. 64 (1956), 240–256.
—, Topologies of group algebras and a theorem of Littlewood, Trans. Amer. Math. Soc. 86 (1957), 269–283.
—, Lacunary Fourier series on noncommutative groups, Proc. Amer. Math. Soc. 9 (1958), 782–790.
HOCHSCHILD, G., Cohomology and representations of associative algebras, Duke Math. J. 14 (1947), 921–948.
JU-KUEI WANG, Multipliers of commutative Banach algebras, Pacific J. Math. 11 (1961), 1131–1149.
KOHLS, C.W. and L.J. LARDY, Extensions and retractions of algebras of continuous functions, Illinois J. Math. 12 (1968), 539–549.
—, On extensions and bimultiplication algebras of algebras, Archiv Math. 20 (1969), 365–372.
JOHNSON, B.E., An introduction to the theory of centralizers, Proc. London Math. Soc. 14 (1964), 299–320.
—, Centralizers on certain topological algebras, J. London Math. Soc. 39 (1964), 603–614.
JOHNSON, B.E., Continuity of centralizers on Banach algebras, J. London Math. Soc. 41 (1966), 639–640.
REID, G.A., A generalization of W*-algebras, Pacific J. Math. 15 (1965), 1019–1026.
WENDEL, J.G., On isometric isomorphism of group algebras, Pacific J. Math. 1 (1951), 305–311.
—, Left centralizers and isomorphisms of group algebras, Pacific J. Math. 2 (1952), 251–261.
Partially ordered sets and algebraic systems
AUBERT, K.E., Theory of x-ideals, Acta Math. 107 (1962), 1–51.
BANASCHEWSKI, B., Hüllensysteme und Erweiterung von Quasi-Ordnungen, Zeitschr. Math. Logik Grundl. Math. 2 (1956), 117–130.
BANASCHEWSKI, B. and G. BRUNS, Categorical characterization of the MacNeille completion, Archiv Math. 18 (1967), 369–377.
BIGARD, A., et K. KEIMEL, Sur les endomorphismes conservant les polaires d’un groupe réticulé archimédien, Bull. Soc. Math. France 97 (1969), 381–398.
BLEICHER, M.N. and H. SCHNEIDER, Completions of partially ordered sets and universal algebras, Acta Math. Acad. Sci. Hung. 17 (1966), 271–301.
BLEICHER, M.N., H. SCHNEIDER and R.L. WILSON, Permanence of identities on algebras (to appear).
BRUNS, G., Darstellungen und Erweiterungen geordneter Mengen. I. J. reine angew. Math. 209 (1962), 167–200.
BURGESS, D.C.J. and R. McFADDEN, Systems of ideals in partially ordered semigroups, Math. Zeitschr. 79(1962), 439–450.
CLIFFORD, A.H., Naturally totally ordered commutative semigroups, Amer. J. Math. 76(1954), 631–646.
—, Completion of totally ordered commutative semigroups, Duke Math. J. 26(1959), 41–59.
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Petrich, M. The translational hull in semigroups and rings. Semigroup Forum 1, 283–360 (1970). https://doi.org/10.1007/BF02573051
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DOI: https://doi.org/10.1007/BF02573051