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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 2

A new view on soft rings

Yıldıray ÇELİK
Sultan YAMAK
Canan EKİZ
Pages
273–286
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Lastly, we define extended sum, restricted sum, extended product, and restricted product of soft sets, and derive their basic properties.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we study soft rings and ideals.
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Key Findings & Data:Firstly, we define a new binary relation on soft sets using binary relations on the universe and parameter sets.
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Conclusion & Impact:Lastly, we define extended sum, restricted sum, extended product, and restricted product of soft sets, and derive their basic properties.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we study soft rings and ideals. Firstly, we define a new binary relation on soft sets using binary relations on the universe and parameter sets. Then, we introduce the notion of soft ring and soft ideal over a ring, and some examples are given. Also, we obtain some new properties of soft rings and soft ideals. Lastly, we define extended sum, restricted sum, extended product, and restricted product of soft sets, and derive their basic properties.

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Cite This Article

ÇELİK, Y., YAMAK, S., EKİZ, C. (2022). A new view on soft rings. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 2, 273–286. https://ajindex.com/articles/530565

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