Extensions of a semilattice by an inverse semigroup

Author:

Green D.G.

Abstract

The structure of inverse semigroup extensions of one inverse semigroup R by any other is analyzed in the case where R is a semilattice. Both a representation and method of construction are given. A brief preliminary examination is made of a certain class of congruences, on inverse semigroups, which are intimately related to such extensions.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. Idempotent-Separating Extensions Of Inverse Semigroups

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4. Free inverse semigroups

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1. On a semigroup theoretic generalization of the Kalužnin Krasner Theorem and normal extensions of inverse semigroups;Semigroup Forum;1992-12

2. On variants of a semigroup;Bulletin of the Australian Mathematical Society;1986-12

3. The least semilattice of groups congruence on a regular semigroup;Semigroup Forum;1983-12

4. Inverse semigroups determined by their lattices of inverse subsemigroups;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1981-02

5. Le Produit Demi-Direct Pour les Demi-Groupes Inverses;Semigroup Forum;1979-12

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