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Journals / International Electronic Journal of Algebra / 2021 / Volume: 30 Issue: 30

ABELIAN GROUPS WITH LEFT COMORPHIC ENDOMORPHISM RINGS

Grigore Calugareanu(Babes-Bolyai University)
Andrey Chekhlov(Tomsk State University)
Pages
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Publication Date
2021-07-17
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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, Volume: 30 Issue: 30. https://doi.org/10.24330/ieja.969907

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