A New Perspective on $k$-Ideals of a Semiring via Soft Intersection Ideals

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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 DEVELİ, Filiz ÇITAK

Pages : 18-34

Doi:10.53570/jnt.1145507

View : 29 | Download : 10

Publication Date : 2022-12-31

Article Type : Research Paper

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

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