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2010 TORSION THEORIES AND ESSENTIAL FLAT ENVELOPES
Xian-Hui Fu, Nan-Qing Ding
Taiwanese J. Math. 14(4): 1249-1270 (2010). DOI: 10.11650/twjm/1500405942

Abstract

Let $R$ be a ring with identity and let $\mathcal{M}_R$ be the category of right $R$-modules. In this article, we study some relations between torsion theories and cotorsion theories in $\mathcal{M}_R$. As applications, we give some new characterizations of IF rings with essential flat envelopes.

Citation

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Xian-Hui Fu. Nan-Qing Ding. "TORSION THEORIES AND ESSENTIAL FLAT ENVELOPES." Taiwanese J. Math. 14 (4) 1249 - 1270, 2010. https://doi.org/10.11650/twjm/1500405942

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1233.16002
MathSciNet: MR2663909
Digital Object Identifier: 10.11650/twjm/1500405942

Subjects:
Primary: 16D40 , 16S90 , 18E40

Keywords: Cotorsion theory , flat envelope , IF ring , torsion theory

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 4 • 2010
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