Set-generated soft subrings of rings
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Date
2022
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Publisher
Ankara Üniversitesi
Abstract
This paper focuses on the set-oriented operations and set-oriented algebraic structures of soft sets. Relatedly, in this paper, firstly some essential properties of
α
-intersection of soft set are investigated, where
α
is a non-empty subset of the universal set. Later, by using
α
-intersection of soft set, the notion of set-generated soft subring of a ring is introduced. The generators of soft intersections and products of soft subrings are given. Some related properties about generators of soft subrings are investigated and illustrated by several examples.
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Keywords
Soft sets, soft subrings of rings, generated soft subrings of rings