✨
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
🎯
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.
📊
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.
💡
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.
🔖
Cite This Article
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