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Transactions of the American Mathematical Society

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



Amalgamated products of semigroups: the embedding problem

Author: Gérard Lallement
Journal: Trans. Amer. Math. Soc. 206 (1975), 375-394
MSC: Primary 20M10
MathSciNet review: 0364505
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Abstract: A necessary and sufficient condition for a semigroup amalgam to be embeddable is given. It is in the form of a countable set of equational implications with existential quantifiers. Furthermore it is shown that no finite set of equational implications can serve as a necessary and sufficient condition. Howie’s sufficient condition (see [5]) is derived as a consequence of our main theorem.

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

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Keywords: Semigroup amalgam, amalgamated products of semigroups, embedding of amalgams, free products of semigroups
Article copyright: © Copyright 1975 American Mathematical Society