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Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 3

On Prime and Maximal k-Subsemimodules of Semimodules

Gürsel YEŞİLOT
Pages
305–312
Publication Date
2022-10-18
DOI
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⚡ TL;DR(Too Long; Didn't Read)

After that, the correspondence between prime k-ideals andprime k-subsemimodules, and between maximal k-ideals and maximalk-subsemimodules are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we present some characterizations of prime k-ideals andmaximal k-ideals of a semiring.
📊
Key Findings & Data:Then we extend these properties toprime k-subsemimodules and maximal k-subsemimodules of a semimodule.
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Conclusion & Impact:After that, the correspondence between prime k-ideals andprime k-subsemimodules, and between maximal k-ideals and maximalk-subsemimodules are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Prime k-ideal · Maximal k-ideal · Prime k-subsemimodule

Abstract

In this paper, we present some characterizations of prime k-ideals andmaximal k-ideals of a semiring. Then we extend these properties toprime k-subsemimodules and maximal k-subsemimodules of a semimodule. After that, the correspondence between prime k-ideals andprime k-subsemimodules, and between maximal k-ideals and maximalk-subsemimodules are given.

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Cite This Article

YEŞİLOT, G. (2022). On Prime and Maximal k-Subsemimodules of Semimodules. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 3, 305–312. https://ajindex.com/articles/530857

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References (8)

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