Strict Mittag–Leffler modules over Gorenstein injective modules

DOI10.1142/S0219498820500504zbMath1444.16008WikidataQ114072490 ScholiaQ114072490MaRDI QIDQ4960280

Xiaoguang Yan, Yanjiong Yang

Publication date: 14 April 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

strict Mittag-Leffler conditionstrict Mittag-Leffler moduleGorenstein injective covers\(\mathcal{G}\mathcal{I}\)-projective module

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Commutative Noetherian rings and modules (13E05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Other classes of modules and ideals in associative algebras (16D80)

Cites Work

• Covers, precovers, and purity.
• Cotorsion pairs induced by duality pairs
• The countable telescope conjecture for module categories.
• Modules with chain conditions for finite matrix subgroups
• Gorenstein injective and projective modules
• Relative homological algebra
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Strict Mittag–Leffler Conditions on Gorenstein Modules
• On the flat length of injective modules
• Mittat-Leffler conditions on modules
• Gorenstein injective envelopes and covers over two sided noetherian rings
• Gorenstein injective covers and envelopes over noetherian rings
• Coherent rings and absolutely pure covers

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