On rings whose Jacobson radical coincides with upper nilradical | Zendy

Guanglin Ma | Zendy; Wang Yao | Zendy; Yanli REN | Zendy

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On rings whose Jacobson radical coincides with upper nilradical

Author(s) -

Guanglin Ma,

Wang Yao,

Yanli REN

Publication year - 2021

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-2012-30

Subject(s) - mathematics , element (criminal law) , jacobson radical , pure mathematics , ring (chemistry) , extension (predicate logic) , combinatorics , law , chemistry , computer science , organic chemistry , political science , programming language

We call a ring R is JN if whose Jacobson radical coincides with upper nilradical, and R is right SR if each element 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 . SR rings is a class of special subrings of JN rings, which is the extension of soclean rings. We give their some characterizations and examples, and investigate the relationship between JN rings, SR rings and related rings, respectively.

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