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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We also investigate GM− rings for some special Morita Contexts and module extensions over generalized power series rings.
📌 3 Key Takeaways
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Objective & Hypothesis:Let R be a reduced ring, (S, ≤) a cancellative torsion-free strictly ordered monoid, it is shown that ring [[RS,≤]] is a GM− ring if and only if R is a GM−ring.
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Key Findings & Data:Let R be a reduced ring, (S, ≤) a cancellative torsion-free strictly ordered monoid, it is shown that ring [[RS,≤]] is a GM− ring if and only if R is a GM−ring.
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Conclusion & Impact:We also investigate GM− rings for some special Morita Contexts and module extensions over generalized power series rings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:GM−rings · module extension · generalized power series
Abstract
Let R be a reduced ring, (S, ≤) a cancellative torsion-free strictly ordered monoid, it is shown that ring [[RS,≤]] is a GM− ring if and only if R is a GM−ring. We also investigate GM− rings for some special Morita Contexts and module extensions over generalized power series rings.
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Cite This Article
Ouyang, L., Liu, D. (2007). EXTENSIONS OF GM-RINGS OVER GENERALIZED POWER SERIES RINGS. International Electronic Journal of Algebra, Cilt: 2 - Sayı: 2, 226–236. https://ajindex.com/articles/832595