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Turkish Journal of Mathematics

Authors

RIDA E. ZENAB

DOI

10.3906/mat-2107-20

Abstract

In this article we discuss the factorisations of semigroups and monoids in the context of direct, semidirect and Zappa-Szep products addressing the question of uniqueness. An equivalence between external and internal Zappa-Szep product of groups and monoids is known, but no such correspondence exists for semigroups in general. We prove the equivalence between external and internal Zappa-Szep product of semigroups subject to certain conditions in this article. We end with some illustrative examples of the Zappa-Szep product of the bisimple inverse monoids.

First Page

2511

Last Page

2533

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