Some characterizations of Gorenstein local rings in terms of G-dimension

DOI10.1023/B:AMHU.0000036291.12706.46zbMath1092.13018OpenAlexW2091367517MaRDI QIDQ2494426

Ryo Takahashi

Publication date: 27 June 2006

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:amhu.0000036291.12706.46

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Homological conjectures (intersection theorems) in commutative ring theory (13D22)

Related Items (10)

Gorenstein rings via homological dimensions, and symmetry in vanishing of Ext and Tate cohomology ⋮ Some results on the nonvanishing of certain Ext modules ⋮ Dual of bass numbers and dualizing modules ⋮ On the Existence of Certain Modules of Finite Gorenstein Homological Dimensions ⋮ On vanishing of certain Ext modules ⋮ Ulrich ideals and almost Gorenstein rings ⋮ Brauer-Thrall for totally reflexive modules over local rings of higher dimension ⋮ On the new intersection theorem for totally reflexive modules ⋮ The existence of finitely generated modules of finite Gorenstein injective dimension ⋮ Unnamed Item

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