Summary
The duality theory established byHalmos in [2] for boolean hemimorphism applies of course to the diagonalizable algebra, because ντν is an hemimorphism.
For commodity in working on diagonalizable algebras we recall the basic facts and give the characteristic conditions on the dual of ντν.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
C. Bernardi,The fixed-point theorem for the diagonalizable algebras (the algebraization of the theories which express Theor; III),Studia Logica, Vol.34, No. 3 (1975), pp. 239–251.
P. R. Halmos,Algebraic logic, I. Monadic Boolean algebras,Compositio Mathematicae, Vol. 12 (1955), pp. 217–249 (reprinted inAlgebraic logic, Chelsea Publ. Comp. N. Y., 1962).
B. Jonsson andA. Tarski,Boolean algebras with operators, Part I,American Mathematical Journal, Vol. 13 (1951), pp. 891–939
R. Magari Problemi aperti sulle algebre diagonali, to appear inRend. Sem. Mat. Fis. Milano.
R. Magari The diagonalizable algebras (the algebraization of the theories which express Theor; II) to appear inB.U.M.I.
P. Pagli Su alcune estensioni del lemma di diagonalizzazione nell'aritmetica di Peano, to appear.
M. Servi,A representation theorem for “regular” hemimorphism between Boolean algebras.Riv. Mat. Un. Parma (2) 7 (1966). pp. 185–191.
Author information
Authors and Affiliations
Additional information
Allatum est die 24 Februarii 1975
Rights and permissions
About this article
Cite this article
Magari, R. Representation and duality theory for diagonalizable algebras. Stud Logica 34, 305–313 (1975). https://doi.org/10.1007/BF02121661
Issue Date:
DOI: https://doi.org/10.1007/BF02121661