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On J-flat modules
Xiaoxiang Zhang 1 * #,Fei Ye 2 *
1.Department of Mathematics, Southeast University
2.Department of Basic Education, Tongling Institute
*Correspondence author
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Funding: none
Opened online:25 November 2004
Accepted by: none
Citation: Xiaoxiang Zhang,Fei Ye.On J-flat modules[OL]. [25 November 2004] http://en.paper.edu.cn/en_releasepaper/content/1297
 
 
Let R be an associative ring with identity and J(R) the Jacobson radical of R. A left R-module M is called J-flat in case the canonical map µ from the tensor product of J(R) and M to M is a monomorphism. We give some characterizations for J-flat modules. As an application, we prove that R is semiprimitive if and only if every left R-module is J-flat.
Keywords:J-flat module, perfect ring, semiprimitive ring
 
 
 

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