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Innovative Research Publications IRP India

Selected Works

2015

Algebraic structures

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Structure And Study Of Elements In Ternary Γ-Semigroups, Innovative Research Publications Irp India, D. Madhusudhana Rao, M. Vasantha, M. Venkateswara Rao Apr 2015

Structure And Study Of Elements In Ternary Γ-Semigroups, Innovative Research Publications Irp India, D. Madhusudhana Rao, M. Vasantha, M. Venkateswara Rao

Innovative Research Publications IRP India

In this paper we introduce the notion of a ternary Γ- semigroup is introduced and some examples are given. Further the terms commutative ternary Γ-semigroup, quasi commutative ternary Γ-semigroup, normal ternary Γ- semigroup, left pseudo commutative ternary Γ-semigroup, right pseudo commutative ternary Γ-semigroup are introduced and characterized them. In section 2, the terms; ternary Γ-subsemigroup, ternary Γ-subsemigroup generated by a subset, cyclic ternary Γ-subsemigroup of a ternary Γ-semigroup and cyclic ternary Γ-semigroup are introduced and characterized them In section 3, we discussed some special elements of a ternary Γ-semigroups and characterized them.


Structure And Study Of Elements In Ternary Γ-Semigroups, Innovative Research Publications Irp India, D. Madhusudhana Rao, M. Vasantha, M. Venkateswara Rao Apr 2015

Structure And Study Of Elements In Ternary Γ-Semigroups, Innovative Research Publications Irp India, D. Madhusudhana Rao, M. Vasantha, M. Venkateswara Rao

Innovative Research Publications IRP India

In this paper we introduce the notion of a ternary Γ- semigroup is introduced and some examples are given. Further the terms commutative ternary Γ-semigroup, quasi commutative ternary Γ-semigroup, normal ternary Γ- semigroup, left pseudo commutative ternary Γ-semigroup, right pseudo commutative ternary Γ-semigroup are introduced and characterized them. In section 2, the terms; ternary Γ-subsemigroup, ternary Γ-subsemigroup generated by a subset, cyclic ternary Γ-subsemigroup of a ternary Γ-semigroup and cyclic ternary Γ-semigroup are introduced and characterized them In section 3, we discussed some special elements of a ternary Γ-semigroups and characterized them.