A class of rectangular bands of inverse semigroups
β Scribed by A. de Bodt; F. Pastijn
- Book ID
- 110559895
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 128 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0037-1912
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π SIMILAR VOLUMES
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
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