Research Journal of Science and Technology
  • Year: 2017
  • Volume: 9
  • Issue: 1

Ideals of a Bourne Factor Gamma Semiring

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

*Corresponding Author E-mail: trpangotra@gmail.com

**shwetagupta0303@gmail.com

Online published on 12 January, 2017.

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