CLC number: O153.3
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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Zeng Qing-yi, Shi Mei-hua. On closed weak supplemented modules[J]. Journal of Zhejiang University Science A, 2006, 7(2): 210-215.
@article{title="On closed weak supplemented modules",
author="Zeng Qing-yi, Shi Mei-hua",
journal="Journal of Zhejiang University Science A",
volume="7",
number="2",
pages="210-215",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A0210"
}
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%A Zeng Qing-yi
%A Shi Mei-hua
%J Journal of Zhejiang University SCIENCE A
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%P 210-215
%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A0210
TY - JOUR
T1 - On closed weak supplemented modules
A1 - Zeng Qing-yi
A1 - Shi Mei-hua
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 2
SP - 210
EP - 215
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2006.A0210
Abstract: A module M is called closed weak supplemented if for any closed submodule N of M, there is a submodule K of M such that M=K+N and K∩N<<M. Any direct summand of closed weak supplemented module is also closed weak supplemented. Any nonsingular image of closed weak supplemented module is closed weak supplemented. Nonsingular V-rings in which all nonsingular modules are closed weak supplemented are characterized in Section 4.
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[4] Harmanci, A., Keskin, D., Smith, P.F., 1999. On ⊕-supplemented modules. Acta Math. Hungar., 83(1/2):161-169.
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[6] Wisbauer, R., 1996. Modules and Algebras: Bi-module Structure and Group Actions on Algebras. Pitman Monographs and Surveys in Pure and Applied Mathematics 81.
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