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Değişmeli fazla Coatomic Semimodules üzerinde Semirings (Seri B)

On Coatomic Semimodules over Commutative Semirings (Series B)

Journal Name:

  • Çankaya University Journal of Science and Engineering

Publication Year:

  • 2011

Key Words:

Keywords (Original Language):

Author NameUniversity of Author
Abstract (2. Language): 
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 subsemimod-ules 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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Abstract (Original Language): 
Bu makale, değişmeli halkalar üzerindeki koatomik modüller ve yarıbasit modüller hakkında iyi bilinen bazı sonuçları, değişmeli yarıhalkalar üzerindeki koatomik ve yarıbasit yarımodüllere genelleştirmiştir. Benzer sonuçlara ulaşmadaki temel zorluk, altyarımodülle-rin sağlaması gereken ekstra özellikleri ortaya çıkarmaktır. Yarı modüllerin çalışılmasında yarımodüllerin k-altyarımodüllerinin ünemli oldukları ispatlanmıştır.
FULL TEXT (PDF): 
PDF icon arastirmax-degismeli-fazla-coatomic-semimodules-uzerinde-semirings-seri-b.pdf
  • 2
189-200
  • Turkish

REFERENCES

References: 

[1] G. Bilhan and T. Güroglu, W-Coatomic modules, Çankaya University Journal of Science and Engineering 7 (2010), 17-24.
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[3] R. E. Atani and S. E. Atani, Ideal theory in commutative semirings, Buletinul Academiei de Stiinte a Republicii Moldova. Matematica 2 (2008), 14-23.
[4] R. E. Atani and S. E. Atani, On subsemimodules of semimodules, Buletinul Academiei de Stiinte a Republicii Moldova. Matematica 2 (2010), 20-30.
[5] S. E. Atani and R. E. Atani, Some remarks on partitioning semirings, Analele Stiintifice ale Universitatii Ovidius Constanta Seria Matematica 18 (2010), 49-62.
[6] J. S. Golan, Semirings and their Applications, Kluwer Academic Publishers, Dordrecht 1999.
[7] J. S. Golan, The Theory of Semirings with Applications in Mathematics and Theoretical Computer Science (Pitman Monographs and Surveys in Pure and Applied Mathematics), Longman Scientific and Thechnical, Harlow UK 1992.
[8] G. Güngüroğlu, Coatomic modules, Far East Journal of Mathematical Sciences Special Vol¬ume, Part II (1998), 153-162.
[9] U. Hebisch and H. J. Weinert, Halbringe Algebraische Theorie und Anwendungen in der Informatik, Teubner Studienbucher, Stuttgart 1993.
200
Atani
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d Saraei
[10] N. X. Tuyen and H. X. Thang, On superfluous subsemimodules, Georgian Mathematical
Journal 10 (2003), 763-770.
[11] R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia
1991.
[12] H. Züschinger, Koatomare Moduln, Mathematische Zeitschrift 170 (1980), 221-232

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