Abstract
A module M is called generalized extending if for any submodule N of M, there is a direct summand K of M such that N≤K and K/N is singular. Any extending module and any singular module are generalized extending. Any homomorphic image of a generalized extending module is generalized extending. Any direct sum of a singular (uniform) module and a semi-simple module is generalized extending. A ring R is a right Co-H-ring if and only if all right R modules are generalized extending modules.
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Project (No. 102028) supported by the Natural Science Foundation of Zhejiang Province, China
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Zeng, Qy. On generalized extending modules. J. Zhejiang Univ. - Sci. A 8, 939–945 (2007). https://doi.org/10.1631/jzus.2007.A0939
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DOI: https://doi.org/10.1631/jzus.2007.A0939