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Inverse semigroups whose full inverse subsemigroups form a chain

Published online by Cambridge University Press:  18 May 2009

P. R. Jones
P. R. Jones
Affiliation:
Department of Mathematics, Monash University Clayton, Victoria Australia 3168
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The structure of semigroups whose subsemigroups form a chain under inclusion was determined by Tamura [9]. If we consider the analogous problem for inverse semigroups it is immediate that (since idempotents are singleton inverse subsemigroups) any inverse semigroup whose inverse subsemigroups form a chain is a group. We will therefore, continuing the approach of [5, 6], consider inverse semigroups whose full inverse subsemigroups form a chain: we call these inverse ▽-semigroups.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 22 , Issue 2 , July 1981 , pp. 159 - 165
Copyright
Copyright © Glasgow Mathematical Journal Trust 1981

References

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