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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Project (No. 102028) supported by the Natural Science Foundation of Zhejiang Province, China
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Zeng, Qy., Shi, Mh. On closed weak supplemented modules. J. Zhejiang Univ. - Sci. A 7, 210–215 (2006). https://doi.org/10.1631/jzus.2006.A0210
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DOI: https://doi.org/10.1631/jzus.2006.A0210