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Journals / Cankaya University Journal of Science and Engineering / 2011 / Volume: 8 Issue: 2

On Coatomic Semimodules over Commutative Semirings

S. Ebrahimi Atani
F. Esmaeili Khalil Saraei
Pages
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Publication Date
2011-11-01
DOI
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AI Summary & Key Takeaways

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

It is proved that k-subsemimodules of semimodules are important in the study of semimodules.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper generalizes some well known results on coatomic and semisimple modules in commutative rings to coatomic and semisimple semimodules over commutative semirings.
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Key Findings & Data:The main difficulty is figuring out what additional hypotheses the subsemimodules must satisfy to get similar results.
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Conclusion & Impact:It is proved that k-subsemimodules of semimodules are important in the study of semimodules.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Semiring · coatomic semimodules · semisimple semimodules

Abstract

This paper generalizes some well known results on coatomic and semisimple modules in commutative rings to coatomic and semisimple semimodules over commutative semirings. The main difficulty is figuring out what additional hypotheses the subsemimodules must satisfy to get similar results. It is proved that k-subsemimodules of semimodules are important in the study of semimodules.

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Cite This Article

Atani, S. E., Saraei, F. E. K. (2011). On Coatomic Semimodules over Commutative Semirings. Cankaya University Journal of Science and Engineering, Volume: 8 Issue: 2. https://ajindex.com/articles/1468771

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