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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

Postal Subscription Code 80-964

2018 Impact Factor: 0.565

Front Math Chin    2010, Vol. 5 Issue (4) : 747-756    https://doi.org/10.1007/s11464-010-0065-x
RESEARCH ARTICLE
co-?s-modules
Lingling YAO1,2(), Jianlong CHEN1
1. Department of Mathematics, Southeast University, Nanjing 210096, China; 2. Department of Mathematics, Bielefeld University, Bielefeld 33615, Germany
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Abstract

J. Wei recently proposed a concept of ?s-modules which is another generalization of ?-modules besides ?n-modules [J. Algebra, 2005, 291: 312-324]. In this paper, we consider the co-?s-modules and give some characterizations and properties. It is found that the class of co-?s-modules contains co-selfsmall injective cogenerators. The relations between co-?s-modules and co-?n-modules are also considered.

Keywords ?s-module')" href="#">co-?s-module      co-selfsmall      ?s-module')" href="#">?s-module      ?n-module')" href="#">co-?n-module     
Corresponding Author(s): YAO Lingling,Email:linglingyao@gmail.com   
Issue Date: 05 December 2010
 Cite this article:   
Lingling YAO,Jianlong CHEN. co-?s-modules[J]. Front Math Chin, 2010, 5(4): 747-756.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-010-0065-x
https://academic.hep.com.cn/fmc/EN/Y2010/V5/I4/747
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