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Dergiler / 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
Sayfa
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Yayın Tarihi
2011-11-01
DOI
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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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Temel Bulgular & Veri:The main difficulty is figuring out what additional hypotheses the subsemimodules must satisfy to get similar results.
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Sonuç & Katkı:It is proved that k-subsemimodules of semimodules are important in the study of semimodules.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (12)

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  4. R. E. Atani and S. E. Atani, On subsemimodules of semimodules, Buletinul Academiei de Stiinte a Republicii Moldova. Matematica 2 (2010), 20-30.
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  9. U. Hebisch and H. J. Weinert, Halbringe Algebraische Theorie und Anwendungen in der Informatik, Teubner Studienbucher, Stuttgart 1993.
  10. N. X. Tuyen and H. X. Thang, On superuous subsemimodules, Georgian Mathematical Journal 10 (2003), 763-770.
  11. R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia 1991.
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