• PROPERTIES OF LATTICE ORDERED GROUPS AND ORDERED Γ- SEMIGROUPS
Abstract
In this paper, we present the properties of lattice ordered groups derived from the properties of partially ordered groups. The notion of Γ-semi groups was introduced by Sen in 1981. The concept of Γ- semigroups is a generalization of the concept of semigroups Many classical notions of semigroups have been extended to Γ -semigroups, ( S, Γ , ) is called an ordered Γ -semigroup if S is a Γ -semigroup and ( S, ) is a partially ordered set such that a≤b⇒a γ c≤b γ c and c γ a≤c γ b for all a,b,c ϵ S and γ ϵ Γ
Keywords
Partially ordered groups, Lattice ordered groups, Semi groups, Γ - Semi groups, Ordered Γ- Semi groups.
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