When M-small modules are simple

  • Tayyebeh Amouzegar Department of Mathematics, Quchan University of Advanced Technology, Quchan, Iran
Keywords: SMSI-module, small module, simple module.

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].

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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.

Published
2016-08-08
How to Cite
Amouzegar, T. (2016). When M-small modules are simple. Journal of Progressive Research in Mathematics, 9(1), 1312-1316. Retrieved from http://www.scitecresearch.com/journals/index.php/jprm/article/view/567
Section
Articles