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Cotorsion modules and relative pure-injectivity

Published online by Cambridge University Press:  09 April 2009

Lixin Mao
Affiliation:
Department of Basic Courses, Nanjing Institute of Technology, Nanjing 210013, China, and Department of Mathematics, Nanjing University, Nanjing 210093, China, e-mail: maolx2@hotmail.com
Nanqing Ding
Affiliation:
Department of Mathematics, Nanjing University, Nanjing 210093, China, e-mail: nqding@ nju.edu.cn
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Abstract

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Let R be a ring. A right R-module C is called a cotorsion module if Ext1R (F, C) = 0 for any flat right R-module F. In this paper, we first characterize those rings satisfying the condition that every cotorsion right (left) module is injective with respect to a certain class of right (left) ideals. Then we study relative pure-injective modules and their relations with cotorsion modules.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2006

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