Enochs’ conjecture for cotorsion pairs and more
- 2 January 2024
- journal article
- research article
- Published by Walter de Gruyter GmbH in Forum Mathematicum
- Vol. 36 (6) , 1517-1528
Abstract
Enochs’ conjecture asserts that each covering class of modules (over any ring) has to be closed under direct limits. Although various special cases of the conjecture have been verified, the conjecture remains open in its full generality. In this paper, we prove the conjecture for the classes Filt (Keywords
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This publication has 15 references indexed in Scilit:
- Approximations and Mittag-Leffler conditions the toolsIsrael Journal of Mathematics, 2018
- On the non-existence of right almost split mapsInventiones Mathematicae, 2016
- Approximations and Endomorphism Algebras of Modules2012
- Almost free modules and Mittag-Leffler conditionsAdvances in Mathematics, 2012
- Flat Mittag-Leffler modules over countable ringsProceedings of the American Mathematical Society, 2011
- Almost Free Modules Revisited2002
- Big Direct Sums of Copies of a Module Have Well Behaved Indecomposable DecompositionsJournal of Algebra, 2000
- On Whitehead modulesJournal of Algebra, 1991
- Injective and flat covers, envelopes and resolventsIsrael Journal of Mathematics, 1981
- Finitistic dimension and a homological generalization of semi-primary ringsTransactions of the American Mathematical Society, 1960