Right Chain Po-$\Gamma$-semigroups
by P. Dheena   B. Elavarasan  

Vol. 3 No. 3 (2008) P.407~P.415

ABSTRACT

In this paper, we prove, among others, that in right chains, the proper ideals are completely prime if and only if they are completely semiprime and that the proper right ideals are prime if and only if they are semiprime. Moreover, the proper non-zero idempotent ideals are completely prime.

KEYWORDS
Completely prime ideal, Po-$\Gamma$-semigroups, prime ideal, right ideal

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 06F05, 06F99

MILESTONES

Received: 2007-09-03
Revised : 2007-12-25
Accepted: 2007-12-25

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