Research Journal of Science and Technology

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Ideals of a Bourne Factor Gamma Semiring


Affiliations
1 Department of Mathematics, H.P.U. Regional Centre Khaniyara, Dharamshala, District Kangra (HP)-176218, India
     

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In this paper, the concept of zero divisor, additively and multiplicatively cancellable elements, austere and k−closure of a Γ−semiring, ideals and k−ideals are introduced and their properties are studied.These results will be used to obtain some other new results regarding bourne factor of a Γ−semiring, austere and k−closure of a Γ−semiring.

Keywords

Γ−Semirings, k−Ideals, Austere Γ−Semiring, Additively and Multiplicatively Cancellable and k−Closure of a Γ−Semiring.
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  • Ideals of a Bourne Factor Gamma Semiring

Abstract Views: 203  |  PDF Views: 3

Authors

Tilak Raj Sharma
Department of Mathematics, H.P.U. Regional Centre Khaniyara, Dharamshala, District Kangra (HP)-176218, India
Shweta Gupta
Department of Mathematics, H.P.U. Regional Centre Khaniyara, Dharamshala, District Kangra (HP)-176218, India

Abstract


In this paper, the concept of zero divisor, additively and multiplicatively cancellable elements, austere and k−closure of a Γ−semiring, ideals and k−ideals are introduced and their properties are studied.These results will be used to obtain some other new results regarding bourne factor of a Γ−semiring, austere and k−closure of a Γ−semiring.

Keywords


Γ−Semirings, k−Ideals, Austere Γ−Semiring, Additively and Multiplicatively Cancellable and k−Closure of a Γ−Semiring.