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


Amalgamation and inverse and regular semigroups

Author: T. E. Hall
Journal: Trans. Amer. Math. Soc. 246 (1978), 395-406
MSC: Primary 20M10
MathSciNet review: 515546
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Abstract: A method for proving the embeddability of semigroup amalgams is introduced. After providing necessary and sufficient conditions in terms of representations for the weak embeddability of a semigroup amalgam, it successfully deals with the embedding of inverse semigroup amalgams into inverse semigroups and the embedding of an amalgam of regular semigroups whose core is full in each member.

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PII: S 0002-9947(1978)0515546-8
Keywords: Amalgamation, inverse semigroups, regular semigroups
Article copyright: © Copyright 1978 American Mathematical Society