Enochs' conjecture for cotorsion pairs and more
type: Item
instance of: scholarly article
title: Enochs' conjecture for cotorsion pairs and more
author: Silvana Bazzoni
author: Jan Šaroch
published in: Forum Mathematicum
publication date: 2024-10-01T00:00:00Z
review text: Enochs' conjecture asserts that each covering class of modules over a unital ring is closed under direct limits. In this paper, the authors prove the conjecture for some special classes of modules defined using set-theoretic hypotheses consistent with ZFC. In particular, they show that the conjecture holds for the left-hand class of any cotorsion pair generated by a class of \(\aleph_n\)-presented modules.
reviewed by: Phillip Schultz
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 03E75
Mathematics Subject Classification ID: 16D10
Mathematics Subject Classification ID: 03E35
zbMATH DE Number: 7920522
zbMATH Keywords: Enochs' conjecture
zbMATH Keywords: covering class
zbMATH Keywords: locally split
zbMATH Keywords: tree module
MaRDI profile type: Publication
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DOI: 10.1515/FORUM-2023-0220
description: scientific article; zbMATH DE number 7920522