Gorenstein Analogue of Auslander's Theorem on the Global Dimension

DOI10.1080/00927872.2014.897557zbMath1317.13030OpenAlexW2006487601MaRDI QIDQ5245119

Driss Bennis, Kui Hu, Fanggui Wang

Publication date: 2 April 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.897557

zbMATH Keywords

Gorenstein global dimension of rings\(n\)-Gorenstein ringsGorenstein projective and injective dimensions of modules

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes and commutative rings (13D02) Applications of set theory (03E75) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (3)

$\mathfrak{X}$-Gorenstein Projective Dimensions ⋮ On strongly Gorenstein hereditary rings ⋮ Noncommutative G-hereditary rings

Cites Work

• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Strongly Gorenstein projective, injective, and flat modules
• Gorenstein homological dimensions.
• Gorenstein dimensions
• Gorenstein injective and projective modules
• First, Second, and Third Change of Rings Theorems for Gorenstein Homological dimensions
• On gorenstein injective modules
• Beyond totally reflexive modules and back
• Gorenstein Global Dimensions and Cotorsion Dimension of Rings
• A short survey on Gorenstein global dimension
• Some Results on Gorenstein Dedekind Domains and Their Factor Rings
• Global Gorenstein dimensions
• Unnamed Item

This page was built for publication: Gorenstein Analogue of Auslander's Theorem on the Global Dimension