co-*s-modules

Lingling Yao; Jianlong Chen

doi:10.1007/s11464-010-0065-x

Front. Math. China ›› 2010, Vol. 5 ›› Issue (4) : 747 -756. DOI: 10.1007/s11464-010-0065-x

Research Article

RESEARCH ARTICLE

co-*^s-modules

Lingling Yao ¹^,²^,^a
, Jianlong Chen ¹

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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

co-*^s-module / co-selfsmall / *^s-module / co-*ⁿ-module

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Lingling Yao, Jianlong Chen. co-*^s-modules. Front. Math. China, 2010, 5(4): 747-756 DOI:10.1007/s11464-010-0065-x

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