[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2004.41.4.599

A GENERALIZATION OF THE JACOBSON RADICAL

Naghipour, A.R. (Faculty of Mathematics and Computer Science, Amirkabir University of Technology, and Institute for Studies in Theoretical Physics and Mathematics)
Yamini, A.H. (Faculty of Mathematics and Computer Science, Amirkabir University of Technology)

Publication Information

Bulletin of the Korean Mathematical Society / v.41, no.4, 2004 , pp. 599-608 More about this Journal

Abstract

Let R be an associative ring with identity and J(R) be the Jacobson radical of R. In this paper we investigate the generalization of the Jacobson radical of R, J＊ (R) say. Also we study the rings that J＊(R) = J(R).

Keywords

Jacobson radical; matrix ring; non-left-invertible; stable range one;

Citations & Related Records

Reference

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