Author:
Dlab Vlastimil,Neumann B. H.
Abstract
Large finite groups have large automorphism groups [4]; infinite groups may, like the infinite cyclic group, have finite automorphism groups, but their endomorphism semigroups are infinite (see Baer [1, p. 530] or [2, p. 68]). We show in this paper that the corresponding propositions for semigroups are false.
Publisher
Cambridge University Press (CUP)
Cited by
5 articles.
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1. A new graph based on the semi-direct product of some monoids;Journal of Inequalities and Applications;2013-03-20
2. Analysis approach to finite monoids;Fixed Point Theory and Applications;2013-01-22
3. THE p-COCKCROFT PROPERTY OF THE SEMI-DIRECT PRODUCTS OF MONOIDS;International Journal of Algebra and Computation;2003-02
4. Bibliography;Combinatorial, Algebraic and Topological Representations of Groups, Semigroups and Categories;1980
5. Rigid Rings;Proceedings of the Edinburgh Mathematical Society;1978-09