# 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)
• Published : 2004.11.01

#### 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).

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