Semidirect products and wreath products of strongly π-inverse monoids
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In this paper we determine the necessary and sufficient conditions for the semidirect products and the wreath products of two monoids to be strongly π-inverse. Furthermore, we determine the least group congruence on a strongly π-inverse monoid, and we give some important isomorphism theorems.
1991 Mathematics Subject Classification20M18
Key words and phrasesWreath product π-inverse monoid regular monoid group congruence
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