Congruences on ternary semigroups Sheeja G.
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2022-10-03 14:16
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SHEEJA, G., SRIBALA, S.. Congruences on ternary semigroups Sheeja G.. In: Quasigroups and Related Systems, 2012, vol. 20, nr. 1(27), pp. 113-124. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 20, Numărul 1(27) / 2012 / ISSN 1561-2848

Congruences on ternary semigroups Sheeja G.

Pag. 113-124

Sheeja G., SriBala S.
 
Ramanujan Institute for Advanced Study in Mathematics, University of Madras
 
 
Disponibil în IBN: 25 februarie 2014


Rezumat

We study congruences on ternary semigroups. We have extended Lallement's lemma for a regular ternary semigroups. We have characterized minimum group congruence and maximum idempotent pair separating congruence on a strongly regular ternary semigroups. We have also obtained a characterization for maximum idempotent pair separating congruence and smallest strongly regular congruence on an orthodox ternary semigroup.

Cuvinte-cheie
idempotent pair, strongly regular ternary semigroup, congruence. The second author is supported by University Grants Commission,

India.