SEMIDIRECT PRODUCT OF A MONOID AND A Γ-SEMIGROUP

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Published: Feb 25, 2025
DOI: https://doi.org/10.55401/x1vegk82
Keywords:
Γ-semigroup, regular Γ-semigroup, orthodox Γ-semigroup, right orthodox Γ- semigroup, orthodox semigroup, right inverse semigroup

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M.K. Sen
S. Chattopadhyay

Abstract




In this paper the notion of the semidirect product of a monoid and a Γ-semigroup has been introduced and studied. Necessary and suffi- cient conditions for this semidirect product to be right (left) orthodox Γ-semigroup and right (left) inverse Γ-semigroup has been obtained.




Article Details

Issue
Vol. 6 No. 2 (2004): East-West J. of Mathematics
Section
Articles