When M-small modules are simple

Tayyebeh Amouzegar

Abstract


In this paper, we define and study SMSI-modules. A module M is called an SMSI-module if every M-small module is simple in σ[M].

Keywords


SMSI-module, small module, simple module.

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References


J. Clark, C. Lomp, N. Vanaja and R. Wisbauer, Lifting Modules, Frontiers

in Mathematics, Birk¨auser Verlag, 2006.

R. Wisbauer, Foundations of module and ring theory, Gordon and Breach, Reading, 1991.


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