Beyond totally reflexive modules and back: a survey on Gorenstein dimensions
LW Christensen, HB Foxby, H Holm - Commutative Algebra: Noetherian …, 2011 - Springer
Starting from the notion of totally reflexive modules, we survey the theory of Gorenstein
homological dimensions for modules over commutative rings. The account includes the …
homological dimensions for modules over commutative rings. The account includes the …
Generalized local cohomology modules and homological Gorenstein dimensions
K Divaani-Aazar, A Hajikarimi - Communications in Algebra®, 2011 - Taylor & Francis
Let 𝔞 be an ideal of a commutative Noetherian ring R and M and N two finitely generated R-
modules. Let cd𝔞 (M, N) denote the supremum of the i's such that. First, by using the theory …
modules. Let cd𝔞 (M, N) denote the supremum of the i's such that. First, by using the theory …
Gorenstein injectivity of the section functor
R Sazeedeh - 2010 - degruyter.com
Let R be a commutative Noetherian ring of Krull dimension d admitting a dualizing complex
D and let 𝔞 be any ideal of R. We prove that is Gorenstein injective for any Gorenstein …
D and let 𝔞 be any ideal of R. We prove that is Gorenstein injective for any Gorenstein …
Local cohomology and Foxby classes
M Ahmadi, A Rahimi - Acta Mathematica Hungarica, 2024 - Springer
Let R be a commutative Noetherian ring and I a proper ideal of R. In this paper, we study
finitely generated R-modules M with only one non-vanishing local cohomology module HI c …
finitely generated R-modules M with only one non-vanishing local cohomology module HI c …
[PDF][PDF] Some applications of Cohen-Macaulay injective dimension
X Tang - Hacettepe Journal of Mathematics and Statistics, 2014 - dergipark.org.tr
Let a be an ideal of a commutative Noetherian ring R, M a finitely generated R-module with
finite projective dimension and N an arbitrary R-module with finite Cohen-Macaulay injective …
finite projective dimension and N an arbitrary R-module with finite Cohen-Macaulay injective …