@article{article_1013172, title={Set-generated soft subrings of rings}, journal={Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, volume={71}, pages={993–1006}, year={2022}, DOI={10.31801/cfsuasmas.1013172}, author={Atagün, Akın Osman and Kamacı, Hüseyin}, keywords={Soft sets, soft subrings of rings, 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.}, number={4}, publisher={Ankara University}