Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 20 Issue 3
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- Pages.191-201
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- 2007
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
CONGRUENCES ON TERNARY SEMIGROUPS
- Kar, S. (Department of Mathematics University of Calcutta) ;
- Maity, B.K. (Department of Mathematics University of Calcutta)
- Received : 2007.04.21
- Published : 2007.09.30
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.
Keywords
- ternary semigroup;
- regular ternary semigroup;
- ternary group;
- congruence;
- cancellative congruence;
- group congruence;
- Rees Congruence