Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 43 Issue: 5

Applications of soft union sets to h-semisimple and h-quasi-hemiregular hemirings

Jianming Zhan(DEPARTMENT OF MATHEMATICS, HUBEI MIZU UNIVERSITY)
Pabitra Kumar Maji(DEPARTMENT OF MATHEMATICS, B. C. COLLEGE, ASANSOL, DIST.- BURDWAN)
Pages
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Publication Date
2014-10-01
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Also, we investigate some characteristics of h-semisimple and h-quasihemiregular hemirings using these kinds of soft union h-ideals.

📌 3 Key Takeaways

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Objective & Hypothesis:By means of soft intersection-union sum and product, we make a new approach to the hemiring theory via soft set theory with the concepts of soft union (h-ideals, h-bi-ideals, h-quasi-ideals and h-interior ideals).
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Key Findings & Data:By means of soft intersection-union sum and product, we make a new approach to the hemiring theory via soft set theory with the concepts of soft union (h-ideals, h-bi-ideals, h-quasi-ideals and h-interior ideals).
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Conclusion & Impact:Also, we investigate some characteristics of h-semisimple and h-quasihemiregular hemirings using these kinds of soft union h-ideals.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Soft set · soft intersection-union sum (product) · soft union (h-ideal

Abstract

By means of soft intersection-union sum and product, we make a new approach to the hemiring theory via soft set theory with the concepts of soft union (h-ideals, h-bi-ideals, h-quasi-ideals and h-interior ideals). Also, we investigate some characteristics of h-semisimple and h-quasihemiregular hemirings using these kinds of soft union h-ideals.

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Cite This Article

Zhan, J., Maji, P. K. (2014). Applications of soft union sets to h-semisimple and h-quasi-hemiregular hemirings. Hacettepe Journal of Mathematics and Statistics, Volume: 43 Issue: 5. https://ajindex.com/articles/1403374

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