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http://dx.doi.org/10.4134/CKMS.2008.23.3.325

WEAKLY PRIME LEFT IDEALS IN NEAR-SUBTRACTION SEMIGROUPS  

Dheena, P. (DEPARTMENT OF MATHEMATICS ANNAMALAI UNIVERSITY)
Kumar, G. Satheesh (DEPARTMENT OF MATHEMATICS ANNAMALAI UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.23, no.3, 2008 , pp. 325-331 More about this Journal
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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