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Bull. Korean Math. Soc. 2015; 52(1): 125-135

Printed January 31, 2015

https://doi.org/10.4134/BKMS.2015.52.1.125

Copyright © The Korean Mathematical Society.

On reflexive modules over commutative rings

Yuxian Geng and Nanqing Ding

Jiangsu University of Technology, Nanjing University

Abstract

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Let $R$ be a commutative ring and $U$ an $R$-module. The aim of this paper is to study the duality between $U$-reflexive (pre)envelopes and $U$-reflexive (pre)covers of $R$-modules.

Keywords: reflexive module, (pre)envelope, (pre)cover

MSC numbers: 13C13, 16D10

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