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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
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 Key Takeaways
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Objective & Hypothesis: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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Key Findings & Data: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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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article
FARAHAT, M. A., AL-HARTHY, N. S. (2022). PS-modules over generalized Malcev-Neumann series. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 5, 829–834. https://ajindex.com/articles/529925