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Journals / International Electronic Journal of Algebra / 2021 / Cilt: 30 - Sayı: 30

ABELIAN GROUPS WITH LEFT COMORPHIC ENDOMORPHISM RINGS

Grigore CALUGAREANU
Andrey CHEKHLOV
Pages
217–230
Publication Date
2021-07-17
DOI
—
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AI Summary & Key Takeaways

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

In this paper, the Abelian groups with left comorphic endomorphism rings are completely determined.

📌 3 Key Takeaways

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Objective & Hypothesis:A ring $R$ is called left comorphic if for every $a\in R$ there exists $b\in R$ such that the left and right annihilators satisfy $Ra=l(b)$ and $r(a)=bR$.
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Key Findings & Data:A ring $R$ is called left comorphic if for every $a\in R$ there exists $b\in R$ such that the left and right annihilators satisfy $Ra=l(b)$ and $r(a)=bR$.
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Conclusion & Impact:In this paper, the Abelian groups with left comorphic endomorphism rings are completely determined.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Left comorphic ring · Abelian group · endomorphism ring

Abstract

A ring $R$ is called left comorphic if for every $a\in R$ there exists $b\in R$ such that the left and right annihilators satisfy $Ra=l(b)$ and $r(a)=bR$. In this paper, the Abelian groups with left comorphic endomorphism rings are completely determined.

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Cite This Article

CALUGAREANU, G., CHEKHLOV, A. (2021). ABELIAN GROUPS WITH LEFT COMORPHIC ENDOMORPHISM RINGS. International Electronic Journal of Algebra, Cilt: 30 - Sayı: 30, 217–230. https://ajindex.com/articles/832226

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