We generalise the classical Munn representation of an inverse semigroup with the introduction of what we call ordered representations of inverse semigroups. Both the WagnerαPreston Representation and the effective actions of O'Carroll and McAlister are examples of such representations. We show that
Permutability Class of a Semigroup
β Scribed by Andrzej Kisielewicz
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 133 KB
- Volume
- 226
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
Given a permutation
x n β S. Various permutability conditions were considered for special classes of permutations. We define the permutability class of a semigroup S to be the infinite sequence
The aim of this paper is to give a description of such sequences, which generalizes a number of old results on permutability conditions in semigroups.
π SIMILAR VOLUMES
We give a sufficient condition for a finitely presented Rees quotient of a free inverse semigroup to have rational growth. Using related techniques we give a new proof that nonmonogenic free inverse semigroups have irrational growth. A new criterion for polynomial growth is proved and is used to sho
It is well known that the free group on a non-empty set can be totally ordered and, further, that each compatible latttice ordering on a free group is a total ordering. On the other hand, SaitΓ΄ has shown that no non-trivial free inverse semigroup can be totally ordered. In this note we show, however
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