2013•Journal of Yantai UniversityRequires access

Semidirect Products and Wreath Products of Strong Left and Right π-regular Semigroups

Zhang Xiao-min

Abstract

We introduce the concept of strong left and right π-regular semigroups,and discuss the semidirect product and wreath product of two semigroups. We obtain the necessary and sufficient conditions for both the semidirect product and wreath product of two semigroups to be strong LR-π-inverse semigroups,respectively.

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Key concepts: Wreath product, Semidirect product, Mathematics, Product (mathematics), Krohn–Rhodes theory, Pure mathematics, Special classes of semigroups, Group (periodic table)