Department of Mathematics, H.P.U. Regional Centre Khaniyara, Dharamshala, District Kangra, (HP)-176218
*Corresponding Author E-mail: trpangotra@gmail.com
Online published on 12 January, 2017.
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.
Γ-semirings, k-ideals, austere Γ-semiring, additively and multiplicatively cancellable and k-closure of a Γ-semiring