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

ABELIAN GROUPS WITH LEFT COMORPHIC ENDOMORPHISM RINGS

Grigore CALUGAREANU
Andrey CHEKHLOV
Sayfa
217–230
Yayın Tarihi
2021-07-17
DOI
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In this paper, the Abelian groups with left comorphic endomorphism rings are completely determined.

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:In this paper, the Abelian groups with left comorphic endomorphism rings are completely determined.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (16)

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