Amalgamation and inverse and regular semigroups

Author:
T. E. Hall

Journal:
Trans. Amer. Math. Soc. **246** (1978), 395-406

MSC:
Primary 20M10

DOI:
https://doi.org/10.1090/S0002-9947-1978-0515546-8

MathSciNet review:
515546

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1978-0515546-8

Keywords:
Amalgamation,
inverse semigroups,
regular semigroups

Article copyright:
© Copyright 1978
American Mathematical Society