Gorenstein injective envelopes and covers over two sided noetherian rings

DOI10.1080/00927872.2016.1233193zbMath1388.18019arXiv1601.04665OpenAlexW2962739155MaRDI QIDQ5274722

Alina C. Iacob

Publication date: 6 July 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04665

zbMATH Keywords

Gorenstein injective moduleGorenstein injective envelopestrongly cotorsion moduleGorenstein injective cover

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items

Auslander condition and Gorenstein rings, Five theorems on Gorenstein global dimensions, When do the Gorenstein injective modules and strongly cotorsion modules coincide?, Strict Mittag–Leffler modules over Gorenstein injective modules, Model structures, recollements and duality pairs

Cites Work

• Unnamed Item
• Unnamed Item
• Injective envelopes and (Gorenstein) flat covers.
• Cotorsion pairs induced by duality pairs
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Strongly Gorenstein projective, injective, and flat modules
• On rings with finite self-injective dimension. II
• Gorenstein homological dimensions.
• Gorenstein injective and projective modules
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• STRONGLY COTORSION (TORSION-FREE) MODULES AND COTORSION PAIRS
• Beyond totally reflexive modules and back
• ON n-PERFECT RINGS AND COTORSION DIMENSION
• DUALIZING MODULES AND n-PERFECT RINGS
• On the rings whose injective hulls are flat
• Gorenstein injective covers and envelopes over noetherian rings