Cotorsion modules and relative pure-injectivity
- Autores: Lixin Mao, Nanquing Ding
- Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 81, Nº 2, 2006, págs. 225-244
- Idioma: inglés
- DOI: 10.1017/s1446788700015858
- Enlaces
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Resumen
Let $R$ be a ring. A right $R$-module $C$ is called a cotorsion module if $\operatorname{Ext}_{R}^{1}(F, C)=0$ 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.
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