CONGRUENCES ON TERNARY SEMIGROUPS

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Published: Aug 15, 2007
DOI: https://doi.org/10.14403/jcms.2007.20.3.191
Keywords:
ternary semigroup, regular ternary semigroup, ternary group, congruence, cancellative congruence, group congruence, Rees Congruence
Mathematics Subject Classification (2020):
Primary 20M17

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S. Kar
Department of Mathematics, University of Calcutta
B. K. Maity
Department of Mathematics, University of Calcutta

Abstract





In this paper we introduce the notion of congruence on a ternary semigroup and study some interesting properties. We also introduce the notions of cancellative congruence, group congruence and Rees congruence and characterize these congruences in ternary semigroups.





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Article Details

Issue
Vol. 20 No. 3 (2007)
Section
Articles