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Covers of Finitely Generated Acts over Monoids
- Source :
- Mathematics, Vol 12, Iss 12, p 1794 (2024)
- Publication Year :
- 2024
- Publisher :
- MDPI AG, 2024.
-
Abstract
- This paper attempts to initiate the study of covers of finitely generated S-acts over monoids. We provide necessary and sufficient conditions for a monoid to ensure that n-generated S-acts have strongly flat covers, Condition (P) covers, and projective covers. The main conclusions extend some known results. We also show that Condition (P) covers of finitely generated S-acts are not unique, unlike strongly flat covers. Additionally, we demonstrate the property of Enochs’ X-precover of S-act A, where X denotes a class of S-acts that are closed under isomorphisms.
- Subjects :
- cover
coproduct
finitely generated
X -precover
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 12
- Database :
- Directory of Open Access Journals
- Journal :
- Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.f2513b113e774540b5d7fd3a4283135f
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/math12121794