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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 46 Issue: 5

PS-modules over generalized Malcev-Neumann series

Mohamed A. Farahat
Naif S. Al-harthy
Sayfa
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Yayın Tarihi
2017-10-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The conditions under which the generalized Malcev-Neumann series modüle $M((S))_{R ((S;\sigma;\tau)) }$ is a PS-module are investigated in the present paper.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In [1], the rst author introduced a new class of extension rings called the generalized Malcev-Neumann series ring $R((S;\sigma;\tau))$ with coeffcients in a ring $R$ and exponents in a strictly ordered monoid $S$ which extends the usual construction of Malcev-Neumann series rings.
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Temel Bulgular & Veri:In [1], the rst author introduced a new class of extension rings called the generalized Malcev-Neumann series ring $R((S;\sigma;\tau))$ with coeffcients in a ring $R$ and exponents in a strictly ordered monoid $S$ which extends the usual construction of Malcev-Neumann series rings.
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Sonuç & Katkı:The conditions under which the generalized Malcev-Neumann series modüle $M((S))_{R ((S;\sigma;\tau)) }$ is a PS-module are investigated in the present paper.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:PS-module · generalized Malcev-Neumann series rings

Abstract

In [1], the rst author introduced a new class of extension rings called the generalized Malcev-Neumann series ring $R((S;\sigma;\tau))$ with coeffcients in a ring $R$ and exponents in a strictly ordered monoid $S$ which extends the usual construction of Malcev-Neumann series rings. The conditions under which the generalized Malcev-Neumann series modüle $M((S))_{R ((S;\sigma;\tau)) }$ is a PS-module are investigated in the present paper.

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Bu Makaleye Atıf Yap

Farahat, M. A., Al-harthy, N. S. (2017). PS-modules over generalized Malcev-Neumann series. Hacettepe Journal of Mathematics and Statistics, Volume: 46 Issue: 5. https://ajindex.com/articles/1403001

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Kaynakça (9)

  1. M. Farahat, Generalized Malcev-Neumann series modules with the Beachy-Blair condition, Algebra (Hindawi Publishing Corporation), Article ID 595274, (2015), doi:10.1155/2015/595274.
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  7. B. Neumann, On ordered division rings. Trans. Amer. Math. Soc., 66, (1949), 202252.
  8. A. Kelarev, Ring Constructions and Applications, World Scientic, River Edge, New York, 2002.
  9. R. Zhao and Y. Jiao, Principal quasi-baerness of modules of generalized power series, Taiwanese J. Math., 15(2), (2011), 711-722.