WEAKLY PRIME LEFT IDEALS IN NEAR-SUBTRACTION SEMIGROUPS | Zendy

P. Dheena | Zendy; G. Kumar | Zendy

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WEAKLY PRIME LEFT IDEALS IN NEAR-SUBTRACTION SEMIGROUPS

Author(s) -

P. Dheena,

G. Kumar

Publication year - 2008

Publication title -

communications of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.286

H-Index - 15

eISSN - 2234-3024

pISSN - 1225-1763

DOI - 10.4134/ckms.2008.23.3.325

Subject(s) - mathematics , prime (order theory) , ideal (ethics) , minimal ideal , prime ideal , associated prime , radical of an ideal , semigroup , pure mathematics , subtraction , maximal ideal , discrete mathematics , combinatorics , arithmetic , principal ideal ring , law , commutative ring , commutative property , political science

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.

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