논문KCI 등재
On Direct Sums of Lifting Modules and Internal Exchange Property
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Abstract
Let R be a ring with identity and let M = M 1 M 2 be an amply supplementedR-module. Then it is proved thatM i has (D1) and is M j -ojective fori 6= j,i = 1 ;2, ifand only if for any coclosed submodule X ofM , there existM01 M 1 and M02 M 2 suchthat M = X M01 M02.
참고문헌 (4)
- "On direct sums of extending modules andinternal exchange property", pp.41~44 (1996)
- "Foundations of Moudule and Ring Theory" (1991)
- "Finite direct sums of $ Tr. J. of Mathematics", 22, pp.85~91 (1998)
- "Characterizations of right perfectrings by $\oplus$-supplemented modules", pp.313~318 (2000)
관련 논문AI추천
On Lifting Modules and Weak Lifting ModulesDerya Keskin Tutuncu, Rachid Tribak경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제3호Direct Sums of Extending ModulesLiu Zhongkui경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제1호Direct Sums of Strongly Lifting ModulesMehdi Khoramdel, Saboura Dolati Pishhesari, Shahabaddin Ebrahimi Atani경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제4호Modules Which Are Lifting Relative To Module ClassesAbdullah Harmanci, Muhammet Tamer Kosan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호Pointwise Projective Modules and Some Related ModulesGhasan Naoum-Adil, Zaki Jamil-Zeana경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제4호On exchange idealsHuanyin Chen대한수학회 · 대한수학회보2005 · 제42권 제2호
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