Covers and Envelopes by Submodules or Quotient-Modules

Let R be a ring, X a class of left R-modules, S the class of submodules of X, and Q the class of quotient-modules of X. It is shown that SQ is precovering (preenveloping) if and only if every injective (projective) left R-module has an X-precover (X-preenvelope). Both epic and monic S-(pre) covers (...

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Bibliographic Details
Main Author: Yuedi Zeng
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/9740245
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