Gorenstein injective covers and envelopes over noetherian rings
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Publication:5496225
DOI10.1090/S0002-9939-2014-12232-5zbMath1307.18013OpenAlexW2036995101WikidataQ114093947 ScholiaQ114093947MaRDI QIDQ5496225
Edgar E. Enochs, Alina C. Iacob
Publication date: 30 January 2015
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12232-5
Syzygies, resolutions, complexes and commutative rings (13D02) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)
Related Items (11)
Totally acyclic complexes ⋮ Reflective and coreflective subcategories ⋮ Gorenstein flat preenvelopes ⋮ A model structure approach to the Tate-Vogel cohomology ⋮ Strict Mittag–Leffler modules over Gorenstein injective modules ⋮ Duality pairs induced by one-sided Gorenstein subcategories ⋮ Duality pairs induced by Auslander and Bass classes ⋮ Noncommutative G-hereditary rings ⋮ Coherent rings and Gorenstein flat character modules ⋮ Gorenstein injective envelopes and covers over two sided noetherian rings ⋮ New model structures and projective (injective) cotorsion pairs
Cites Work
- Totally acyclic complexes over noetherian schemes
- Covers, precovers, and purity.
- Cotorsion pairs induced by duality pairs
- On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
- Existence of Gorenstein projective resolutions and Tate cohomology
- Strongly Gorenstein projective, injective, and flat modules
- Gorenstein homological dimensions.
- Gorenstein injective and projective modules
- Relative homological algebra
- Approximations and endomorphism algebras of modules.
- Rings Over Which the Class of Gorenstein Flat Modules is Closed Under Extensions
- The existence of Gorenstein flat covers
- the stable derived category of a noetherian scheme
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