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On Injectivity of Modules via Semisimplicity

Nguyen Thi Thu Ha
경북대학교 자연과학대학 수학과|2022.12|Kyungpook Mathematical Journal|제62권 제4호|pp. 641-655|DOI 10.5666/KMJ.2022.62.4.641

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키워드

V-ringNoetherian ringsemisimple-M-injectivesoc-injective
주제분류수학

초록

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.

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.

참고문헌 (19)

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