2009•Lobachevskii Journal of MathematicsRequires access
On left weakly prime, left weakly semiprime ideals in ordered semigroups
Qing Shun Zhu
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Abstract
Weakly prime and semiprime ideals in ordered semigroups have been introduced and studied by N. Kehayopulu in [1, 2]. In this paper we introduced and studied the left weakly prime and left weakly semiprime ideals of ordered semigroups. We also prove that any left ideal of ordered semigroup is the intersection of all irreducible left weakly prime ideal of ordered semigroup containing it.