Finite semigroups with commuting idempotents
- 1 August 1987
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
- Vol. 43 (1) , 81-90
- https://doi.org/10.1017/s1446788700028998
Abstract
We show that every such semigroup is a homomorphic image of a subsemigroup of some finite inverse semigroup. This shows that the pseudovariety generated by the finite inverse semigroups consists of exactly the finite semigroups with commuting idempotents.Keywords
This publication has 2 references indexed in Scilit:
- Languages and inverse semigroupsLecture Notes in Computer Science, 1984
- On a Problem of Formal LogicProceedings of the London Mathematical Society, 1930