- Journal of New Theory
- Issue: 41
- A New Perspective on $k$-Ideals of a Semiring via Soft Intersection Ideals
A New Perspective on $k$-Ideals of a Semiring via Soft Intersection Ideals
Authors : Ülkü Develi, Filiz Çitak
Pages : 18-34
Doi:10.53570/jnt.1145507
View : 10 | Download : 4
Publication Date : 2022-12-31
Article Type : Research
Abstract :In recent years, soft sets have become popular in various fields. For this reason, many studies have been carried out in the field of algebra. In this study, soft intersection k-ideals are defined with the help of a semiring, and some algebraic structures are examined. Moreover, the quotient rings are defined by k-semiring. Isomorphism theorems are examined by quotient rings. Finally, some algebraic properties are investigated by defining soft intersection maximal k-ideals.Keywords : Soft sets, soft k-ideals, soft k-semirings, soft maximal k-ideals, quotient k-semirings