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On the endomorphism semigroup of simple algebras
George Grätzer,George Grätzer +1 more
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This article is published in Mathematische Annalen.The article was published on 1967-12-01. It has received 12 citations till now. The article focuses on the topics: Bicyclic semigroup & Simple (abstract algebra).read more
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The independence of certain related structures of a universal algebra, I: Partial algebras with useless operations and other lemmas
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Versatile monoids and versatile categories
Matthew Gould,Craig Platt +1 more
TL;DR: In this article, the authors give a complete characterization of versatile monoids, i.e., a monoid M is versatile if and only if (M, C 2) is representable, and this is equivalent to the condition that every element of M be either left cancellative or a left zero.
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The independence of certain related structures of a universal algebra, iv: The triple is independent
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The independence of certain related structures of universal algebra, II: The automorphism group and congruence lattice are independent
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On the Structure of Abstract Algebras
Garrett Birkhoff,P. Hall +1 more
TL;DR: In this paper, a study of abstract algebra qua abstract algebras is presented, where no vocabulary suitable for this purpose is current, and they have been forced to use a number of new terms, and extend the meaning of some accepted ones.
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Universale Algebren mit gegebenen Automorphismengruppen und Kongruenzverbänden
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Solution of a problem of G. Grätzer concerning endomorphism semigroups
TL;DR: In this article, a solution of a problem of G. G. TZEI (Problem 17) is given, to formulate the problem let 9.1 be a universal algebra (briefly: algebra) and let ~2 (9. 0, 932 (92), 5) (92) be the semigroups of the endomorphisms, monomorphisms and epimorphisms of 9J, respectively.