2018•Unpublished venueRequires access

Pure ideals in ordered Γ-semigroups

Noor Mohammad Khan, Ahsan Mahboob

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Abstract

We introduce the notions of pure ideals, left(right) weakly pure ideals and purely prime ideals in an ordered Γ-semigroup.We, then, define a rightweakly regular ordered Γ-semigroup and characterize right weakly regular ordered Γ-semigroups in terms of its ideals, bi-ideals and interior ideals

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What this paper is about

We introduce the notions of pure ideals, left(right) weakly pure ideals and purely prime ideals in an ordered Γ-semigroup.We, then, define a rightweakly regular ordered Γ-semigroup and characterize right weakly regular ordered Γ-semigroups in terms of its ideals, bi-ideals and interior ideals

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Available abstract

We introduce the notions of pure ideals, left(right) weakly pure ideals and purely prime ideals in an ordered Γ-semigroup.We, then, define a rightweakly regular ordered Γ-semigroup and characterize right weakly regular ordered Γ-semigroups in terms of its ideals, bi-ideals and interior ideals

Key concepts: Mathematics, Combinatorics

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