Gorenstein GR-injective and GR-projective modules

DOI10.1080/00927879808826128zbMath0895.16020OpenAlexW2080294361MaRDI QIDQ4380606

Juan Antonio López-Ramos, M. J. Asensio, Blass Torrecillas Jover

Publication date: 12 July 1998

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

Full work available at URL: https://doi.org/10.1080/00927879808826128

zbMATH Keywords

projective modulesgraded ringsinjective modulesGorenstein ringsinjective dimensionsprojective dimensionsgraded injective resolutions

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10)

Related Items (13)

GRADED MATLIS DUALITY AND APPLICATIONS TO COVERS ⋮ $n$-${\rm gr}$-coherent rings and Gorenstein graded modules ⋮ Unnamed Item ⋮ Strongly Gorenstein graded modules ⋮ Singularity categories of representations of algebras over local rings ⋮ DING-GRADED MODULES AND GORENSTEIN GR-FLAT MODULES ⋮ Gorenstein Modules over Zariski Filtered Rings ⋮ Relative FP-gr-injective and gr-flat modules ⋮ $n$-strongly Gorenstein graded modules ⋮ Gorenstein gr-flat modules ⋮ Covers and envelopes over gr-Gorenstein rings ⋮ Gorenstein gr-injective modules over graded isolated singularities ⋮ Preserving of covers by hopf invariants

Cites Work

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• Balanced functors applied to modules
• Separable functors applied to graded rings
• Some constructions over graded rings: Applications
• Injective and flat covers, envelopes and resolvents
• Gorenstein injective and projective modules
• On the vanishing of \(\lim_{(i)}\)
• Modules graded by G-sets

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