# WEAKLY PRIME LEFT IDEALS IN NEAR-SUBTRACTION SEMIGROUPS

Dheena, P.;Kumar, G. Satheesh

• Published : 2008.07.31
• 121 15

#### 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 $m^*$-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

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