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Received: 2006-09-08
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On generalized extending modules
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ZENG Qing-yi. On generalized extending modules[J]. Journal of Zhejiang University Science A, 2007, 8(6): 939-945.
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doi="10.1631/jzus.2007.A0939"
}
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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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