Relative global dimensions and stable homotopy categories
L Liang, J Wang - Comptes Rendus …, 2020 - comptes-rendus.academie-sciences …
In this paper we study the finiteness of global Gorenstein AC-homological dimensions for
rings, and answer the questions posed by Becerril, Mendoza, Pérez and Santiago. As an …
rings, and answer the questions posed by Becerril, Mendoza, Pérez and Santiago. As an …
(n, m)-Strongly Gorenstein Projective Modules
D Bennis - International Electronic Journal of Algebra, 2009 - dergipark.org.tr
This paper is a continuation of the papers J. Pure Appl. Algebra, 210 (2007), 437–445 and J.
Algebra Appl., 8 (2009), 219–227. Namely, we introduce and study a doubly filtered set of …
Algebra Appl., 8 (2009), 219–227. Namely, we introduce and study a doubly filtered set of …
On injective and Gorenstein injective dimensions of local cohomology modules
Let (R, 𝔪) be a commutative Noetherian local ring and M an R-module which is relative
Cohen-Macaulay with respect to a proper ideal 𝔞 of R, and set n:= ht M𝔞. We prove that …
Cohen-Macaulay with respect to a proper ideal 𝔞 of R, and set n:= ht M𝔞. We prove that …
[PDF][PDF] On GI-flat modules and dimensions
Z Gao - Journal of the Korean Mathematical Society, 2013 - researchgate.net
Let R be a ring. A right R-module M is called GI-flat if TorR 1 (M, G)= 0 for every Gorenstein
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …
Finite homological dimension and primes associated to integrally closed ideals
S Goto, F Hayasaka - Proceedings of the American Mathematical Society, 2002 - ams.org
Let $ I $ be an integrally closed ideal in a commutative Noetherian ring $ A $. Then the local
ring $ A_ {\mathfrak {p}} $ is regular (resp. Gorenstein) for every $\mathfrak {p}\in\mathrm …
ring $ A_ {\mathfrak {p}} $ is regular (resp. Gorenstein) for every $\mathfrak {p}\in\mathrm …
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 …
On (strongly) Gorenstein von Neumann regular rings
N Mahdou, M Tamekkante… - Communications in …, 2011 - Taylor & Francis
Full article: On (Strongly) Gorenstein Von Neumann Regular Rings Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …
[PDF][PDF] On rings with self-injective dimension
Y Iwanaga - 1978 - projecteuclid.org
Let R be a ring with an identity and, for a left Λ-module RM, pd (M) and ίd (M) denote the
projective and injective dimension of RM, respectively. A (left and right) noether ring R is …
projective and injective dimension of RM, respectively. A (left and right) noether ring R is …
[HTML][HTML] Complete intersection dimensions and Foxby classes
S Sather-Wagstaff - Journal of Pure and Applied Algebra, 2008 - Elsevier
Let R be a local ring and M a finitely generated R-module. The complete intersection
dimension of M–defined by Avramov, Gasharov and Peeva, and denoted–is a homological …
dimension of M–defined by Avramov, Gasharov and Peeva, and denoted–is a homological …