Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On the structure of semigroups which are unions of groups

Author: R. J. Warne
Journal: Trans. Amer. Math. Soc. 186 (1973), 385-401
MSC: Primary 20M10
MathSciNet review: 0333049
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We characterize semigroups S which are unions of groups as generalized Schreier products of groups, semilattices of right zero semigroups, and semilattices of left zero semigroups. We then give several specializations of this result utilizing Schreier products, semidirect products, and direct products.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 20M10

Retrieve articles in all journals with MSC: 20M10

Additional Information

Keywords: Union of groups, Schreier product, semidirect product, spined product, semilattice of right zero semigroups
Article copyright: © Copyright 1973 American Mathematical Society