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On Covers and Envelopes under Hom and Tensor Functors |
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| Authors: | Lixin Mao Nanqing Ding |
| Affiliation: | 1. Institute of Mathematics , Nanjing Institute of Technology , Nanjing , China maolx2@hotmail.com;3. Department of Mathematics , Nanjing University , Nanjing , China |
| Abstract: | Let R be a commutative ring. We investigate the relationship between (pre)covers ((pre)envelopes) of an R-module and the counterparts of the corresponding homomorphism module or tensor product module. Some applications are also given. |
| Keywords: | Homomorphism module (Pre)cover (Pre)envelope Reflexive module Tensor product module |