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Information Journal Paper

Title

JACOBSON MONOFORM MODULES

Pages

  379-390

Abstract

 In this paper, we introduce and study the concept of Jacobson Monoform modules whichis a proper generalization of that of Monoform modules. We present a characterization of semisimplerings in terms of Jacobson Monoform modules by proving that a ring $R$is semisimple if and only if every $R$-module is Jacobson monoform. Moreover, we demonstrate that over a ring $R$, the properties monoform, Jacobson monoform, compressible, uniform and weakly co-Hopfian are all equivalent.

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