The potential -relation and amalgamation bases for finite semigroups

Authors:
T. E. Hall and Mohan S. Putcha

Journal:
Proc. Amer. Math. Soc. **95** (1985), 361-364

MSC:
Primary 20M10

MathSciNet review:
806071

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Abstract: Let be a finite semigroup, . When does there exist a finite semigroup containing such that in ? This problem was posed to the second named author by John Rhodes in 1974. We show here that if , are regular, then such a semigroup exists if and only if either in , or and . We use this result to show that analgamation bases for the class of finite semigroups have linearly ordered -classes.

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DOI:
https://doi.org/10.1090/S0002-9939-1985-0806071-4

Article copyright:
© Copyright 1985
American Mathematical Society