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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2007, Vol. 8 Issue (6): 939-945    DOI: 10.1631/jzus.2007.A0939
Computational Mathematics     
On generalized extending modules
ZENG Qing-yi
Department of Mathematics, Zhejiang University, Hangzhou 310027, China; Department of Mathematics, Shaoguan University, Shaoguan 512005, China
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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.

Key words： Generalized extending modules      Singular      Co-H-rings     
Received: 08 September 2006     
CLC:  O153.3  
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ZENG Qing-yi. On generalized extending modules. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(6): 939-945.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2007.A0939     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2007/V8/I6/939

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