WEAKLY PRIME LEFT IDEALS IN NEAR-SUBTRACTION SEMIGROUPS

Title & Authors
WEAKLY PRIME LEFT IDEALS IN NEAR-SUBTRACTION SEMIGROUPS
Dheena, P.; Kumar, G. Satheesh;

Abstract
In this paper we introduce the notion of weakly prime left ideals in near-subtraction semigroups. Equivalent conditions for a left ideal to be weakly prime are obtained. We have also shown that if (M, L) is a weak $\small{m^*}$-system and if P is a left ideal which is maximal with respect to containing L and not meeting M, then P is weakly prime.
Keywords
subtraction semigroup;near-subtraction semigroup;prime left ideal;weakly prime left ideal;
Language
English
Cited by
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