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Precover completing domains and approximations
In this paper, we introduce an -precover completing domain , with being a class of modules and not necessarily a single module, and then investigate when every module in has an -preenvelope. Epic and monic -preenvelopes are also investigated. This study plays a key role in setting a general framewor...
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Published in: | Communications in algebra 2023-03, Vol.51 (3), p.915-929 |
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Main Authors: | , , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
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Summary: | In this paper, we introduce an
-precover completing domain
, with
being a class of modules and not necessarily a single module, and then investigate when every module in
has an
-preenvelope. Epic and monic
-preenvelopes are also investigated. This study plays a key role in setting a general framework for several classical results. Then, for a class of finitely generated modules
, we introduce the notion of
-R-Mittag-Leffler modules as a natural extension of R-Mittag-Leffler modules. This enabled us to find easier proofs of some known results and also establish new ones. |
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ISSN: | 0092-7872 1532-4125 |
DOI: | 10.1080/00927872.2022.2116029 |