Article PDF
Avoid common mistakes on your manuscript.
References
W. W. Boone andG. Higman,An algebraic characterization of groups with soluble word problem, J. Australian Math. Soc. (Hanna Neumann memorial volume)2, 41–53.
T. Evans, K. I. Mandelberg andM. F. Neff,Embedding algebras with solvable word problems in simple algebras. Some Boone-Higman type theorems, Proc. of Logic Colloquium, Univ. of Bristol, July 1973, North-Holland Publ. Co., (1975), 259–277.
T. Evans,On multiplicative systems defined by generators and relations, I. Normal form theorems, Proc. Cambr. Phil. Soc., vol.47 (1951), 637–649.
G. Higman,Subgroups of finitely presented groups, Proc. Royal Soc., A, vol.262 (1961), 455–475.
A. V. Kuznecov, Usphemat. Nauk., 3rd issue (1958), 240.
A. I. Malcev,The Metamathematics of Algebraic Systems, Collected Papers: 1936–1967, North-Holland Publ. Co., 1971.
V. L. Murskii,Isomorphic embedding of a semi-group with an enumerable set of defining relations in a finitely presented semi-group, Matem. Sametki, vol.1 (1967), 217–224.
Author information
Authors and Affiliations
Additional information
This research was supported in part by NSF Grant GP-37506X
Rights and permissions
About this article
Cite this article
Evans, T. An algebra has a solvable word problem if and only if it is embeddable in a finitely generated simple algebra. Algebra Universalis 8, 197–204 (1978). https://doi.org/10.1007/BF02485389
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02485389