Enochs' conjecture for cotorsion pairs and more (Q6612604)
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scientific article; zbMATH DE number 7920522
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Enochs' conjecture for cotorsion pairs and more |
scientific article; zbMATH DE number 7920522 |
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Enochs' conjecture for cotorsion pairs and more (English)
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1 October 2024
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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.
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Enochs' conjecture
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covering class
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locally split
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tree module
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