Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Injectivity of Modules via Semisimplicity

  • Nguyen, Thi Thu Ha (Faculty of Fundamental Science, Industrial University of Ho Chi Minh city)
  • Received : 2022.03.11
  • Accepted : 2022.05.03
  • Published : 2022.12.31
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Abstract

A right R-module N is called pseudo semisimple-M-injective if for any monomorphism from every semisimple submodule of M to N, can be extended to a homomorphism from M to N. In this paper, we study some properties of pseudo semisimple-injective modules. Moreover, some results of pseudo semisimple-injective modules over formal triangular matrix rings are obtained.

Keywords

Acknowledgement

The researcher wish to express our deep sense of gratitude to Industrial University of Ho Chi Minh City for the financial support offered to this research project according to the Scientific Research Contract No 59/HD-DHCN, code 21.2CB01.

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