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CLC number: O153.3
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Received: 2004-11-22
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On closed weak supplemented modules
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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.
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}
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A1 - Shi Mei-hua
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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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[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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