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Journals / International Electronic Journal of Algebra / 2017 / Cilt: 21 - Sayı: 21

EXTENSIONS OF Σ-ZIP RINGS

Ouyang LUNQUN
Zhou QİONG
Wu JİNFANG
Pages
1–22
Publication Date
2017-01-17
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

As a consequence, we obtain a generalization of several known results relating to zip rings and weak zip rings.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this note we consider a new concept, so called Σ-zip ring, which unifies zip rings and weak zip rings.
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Key Findings & Data:We observe the basic properties of Σ-zip rings, constructing typical examples.
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Conclusion & Impact:As a consequence, we obtain a generalization of several known results relating to zip rings and weak zip rings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Σ-zip ring · Ore extension

Abstract

t. In this note we consider a new concept, so called Σ-zip ring, which unifies zip rings and weak zip rings. We observe the basic properties of Σ-zip rings, constructing typical examples. We study the relationship between the Σ-zip property of a ring R and that of its Ore extensions and skew generalized power series extensions. As a consequence, we obtain a generalization of several known results relating to zip rings and weak zip rings.

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Cite This Article

LUNQUN, O., QİONG, Z., JİNFANG, W. (2017). EXTENSIONS OF Σ-ZIP RINGS. International Electronic Journal of Algebra, Cilt: 21 - Sayı: 21, 1–22. https://ajindex.com/articles/832355

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References (1)

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