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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Finite commutative subdirectly irreducible semigroups


Author: Phillip E. McNeil
Journal: Trans. Amer. Math. Soc. 172 (1972), 57-67
MSC: Primary 20M10
MathSciNet review: 0310102
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Abstract: This paper is devoted to completing the solution to the problem of constructing all finite commutative subdirectly irreducible semigroups. Those semigroups of this type which were formerly unknown are realized as certain permutation group extensions of nilpotent semigroups. The results in this paper extend the efforts in this area by G. Thierrin and B. M. Schein.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0310102-3
PII: S 0002-9947(1972)0310102-3
Keywords: Subdirectly irreducible semigroup, nilpotent semigroup, permutation group, ideal extension
Article copyright: © Copyright 1972 American Mathematical Society