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Dergiler / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 2

On rings whose Jacobson radical coincides with upper nilradical

Guanglin MA
Yao WANG
Yanli REN
Sayfa
782–796
Yayın Tarihi
2022-11-04
DOI
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We give their some characterizationsand examples, and investigate the relationship between JN rings, SR rings and related rings, respectively.

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Amaç & Hipotez:We call a ring R is JN if whose Jacobson radical coincides with upper nilradical, and R is right SR if eachelement r ∈ R can be written as r = s+r where s is an element from the right socle and r is a regular element of R.
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Temel Bulgular & Veri:SRrings is a class of special subrings of JN rings, which is the extension of soclean rings.
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Sonuç & Katkı:We give their some characterizationsand examples, and investigate the relationship between JN rings, SR rings and related rings, respectively.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

We call a ring R is JN if whose Jacobson radical coincides with upper nilradical, and R is right SR if eachelement r ∈ R can be written as r = s+r where s is an element from the right socle and r is a regular element of R. SRrings is a class of special subrings of JN rings, which is the extension of soclean rings. We give their some characterizationsand examples, and investigate the relationship between JN rings, SR rings and related rings, respectively.

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Bu Makaleye Atıf Yap

MA, G., WANG, Y., REN, Y. (2022). On rings whose Jacobson radical coincides with upper nilradical. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 2, 782–796. https://ajindex.com/articles/607374

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