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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2022 / Volume: 71 Issue: 4

Set-generated soft subrings of rings

Akın Osman Atagün(AHI EVRAN UNIVERSITY)0000-0002-2131-9980
Hüseyin Kamacı(YOZGAT BOZOK UNIVERSITY)0000-0002-0429-6713
Pages
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Publication Date
2022-12-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some related properties about generators of soft subrings are investigated and illustrated by several examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper focuses on the set-oriented operations and set-oriented algebraic structures of soft sets.
📊
Key Findings & Data:Later, by using $\alpha$-intersection of soft set, the notion of set-generated soft subring of a ring is introduced.
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Conclusion & Impact:Some related properties about generators of soft subrings are investigated and illustrated by several examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.

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Cite This Article

Atagün, A. O., Kamacı, H. (2022). Set-generated soft subrings of rings. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 4. https://doi.org/10.31801/cfsuasmas.1013172

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