Weak ss-Lifting Modules

Authors

  • Burcu Nişancı Türkmen Amasya University, Faculty of Arts and Sciences, Department of Mathematics, Amasya, 05100, Turkey.

Keywords:

weak (ss-) lifting module, ss-supplemented module, semiperfect ring, local commutative principle ideal ring

Abstract

Let M be a module. M is called weak ss-lifting if it is ss-supplemented and its ss-supplement submodules are direct summand. In this paper, we provide the basic properties of weak ss-lifting modules. In particular, we show that every direct summand of a weak ss-lifting module is weak ss-lifting. Moreover, we prove that a ring R is semiperfect with semisimple radical if and only if every projective left R-module is weak ss-lifting.

References

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Published

2020-07-14

How to Cite

Türkmen, B. N. . (2020). Weak ss-Lifting Modules. American Scientific Research Journal for Engineering, Technology, and Sciences, 74(1), 232–236. Retrieved from https://asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/6580

Issue

Vol. 74 No. 1 (2020)

Section

Articles

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Copyright (c) 2020 American Scientific Research Journal for Engineering, Technology, and Sciences (ASRJETS)

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