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Transactions of the American Mathematical Society
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
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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.

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Additional Information

PII: S 0002-9947(1973)0333049-6
Keywords: Union of groups, Schreier product, semidirect product, spined product, semilattice of right zero semigroups
Article copyright: © Copyright 1973 American Mathematical Society

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