Set-Generated Soft Subrings of Rings

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 alpha-intersection of soft set are investigated, where alpha is a non-empty subset of the universal set. Later, by using alpha-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.