On rings whose Jacobson radical coincides with upper nilradical

Authors

GUANGLIN MA
YAO WANG
YANLI REN

DOI

10.3906/mat-2012-30

Abstract

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.

Keywords

Radical, JN ring, right SR ring, soclean ring

First Page

782

Last Page

796

Recommended Citation

MA, GUANGLIN; WANG, YAO; and REN, YANLI (2021) "On rings whose Jacobson radical coincides with upper nilradical," Turkish Journal of Mathematics: Vol. 45: No. 2, Article 10. https://doi.org/10.3906/mat-2012-30
Available at: https://journals.tubitak.gov.tr/math/vol45/iss2/10