ON GENERATORS AND PRESENTATIONS OF SEMIDIRECT PRODUCTS IN INVERSE SEMIGROUPS

Author:

DOMBI E. R.,RUŠKUC N.

Abstract

AbstractIn this paper we prove two main results. The first is a necessary and sufficient condition for a semidirect product of a semilattice by a group to be finitely generated. The second result is a necessary and sufficient condition for such a semidirect product to be finitely presented.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

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4. [2] Dombi E. R. , ‘Automatic S-acts and inverse semigroup presentations’, PhD Thesis, University of St Andrews, St Andrews, Scotland, UK, 2004.

5. Finite generation and presentability of wreath products of monoids

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