Compatible ideals in ℚ-Gorenstein rings
T Polstra, K Schwede - Proceedings of the American Mathematical Society, 2023 - ams.org
… Suppose R is a F-finite and F-pure Q-Gorenstein local ring of … compatible, in an F-pure ring,
all trace ideals are radical and … of a quasi-Gorenstein and Q-Gorenstein ring, as well as Weil …
all trace ideals are radical and … of a quasi-Gorenstein and Q-Gorenstein ring, as well as Weil …
A note on dg-Gorenstein injective covers
A Iacob - Acta Mathematica Universitatis Comenianae, 2022 - iam.fmph.uniba.sk
… a ring R such that the class of Gorenstein injective modules … We prove that the class of
dg-Gorenstein injective complexes … of Gorenstein injective modules is dg-Gorenstein injective. In …
dg-Gorenstein injective complexes … of Gorenstein injective modules is dg-Gorenstein injective. In …
Singular equivalences of Morita type with level, Gorenstein algebras, and universal deformation rings
JA Vélez-Marulanda - Journal of Algebra, 2023 - Elsevier
… Recall that Λ is said to be a Gorenstein k -algebra provided that Λ has finite injective dimension
as … In particular, algebras of finite global dimension as well as self-injective algebras are …
as … In particular, algebras of finite global dimension as well as self-injective algebras are …
Weakly Ding injective modules and complexes
A Iacob - Communications in Algebra, 2023 - Taylor & Francis
… a Ding Chen ring such that every FP-injective module has finite projective dimension, then the
… R is a left coherent ring such that every injective module has finite flat dimension, the class …
… R is a left coherent ring such that every injective module has finite flat dimension, the class …
[HTML][HTML] Gorenstein orders of finite lattice type
A Bahlekeh, FS Fotouhi, S Salarian - Journal of Algebra, 2019 - Elsevier
… of Gorenstein local rings, those rings which are left and right Noetherian and have finite
self-injective dimension on … Assume that Λ is a Gorenstein order. It is known that the classes of …
self-injective dimension on … Assume that Λ is a Gorenstein order. It is known that the classes of …
Gorenstein flat precovers and Gorenstein injective preenvelopes in Grothendieck categories
E Enochs, JR García Rozas, L Oyonarte, B Torrecillas - 2019 - projecteuclid.org
… of finite projective dimension), the class GAC coincides with GI so we have special Gorenstein
injective … holds then direct products of Gorenstein injectives are Gorenstein injective). As a …
injective … holds then direct products of Gorenstein injectives are Gorenstein injective). As a …
Gorenstein homology and finiteness properties of local (co) homology
H Faridian - arXiv preprint arXiv:2010.03013, 2020 - arxiv.org
… We further establish analogous results for bounded complexes of Gorenstein injective modules.
… with the definition of Gorenstein injective modules and Gorenstein injective dimension. …
… with the definition of Gorenstein injective modules and Gorenstein injective dimension. …
Notes on Gorenstein Flat Modules
Y Yang, X Yan - Bulletin of the Iranian Mathematical Society, 2019 - Springer
… the relations between Gorenstein projective modules and Gorenstein flat modules by … base
ring is perfect, then all countably presented strongly Gorenstein flat modules are Gorenstein …
ring is perfect, then all countably presented strongly Gorenstein flat modules are Gorenstein …
Frobenius functors and Gorenstein flat dimensions
J Hu, H Li, Y Geng, D Zhang - Communications in Algebra, 2020 - Taylor & Francis
… R of rings, an R-module X is a Gorenstein flat (resp. Gorenstein projective) if and only if X is a
Gorenstein flat (… In Section 4, we consider when the Gorenstein flat dimension of modules is …
Gorenstein flat (… In Section 4, we consider when the Gorenstein flat dimension of modules is …
Gorenstein colength of local Artin k-algebras
R Homs Pons - 2019 - diposit.ub.edu
… We now want to focus on Artin Gorenstein rings. To finish this … of such rings in terms of the
socle ideal, injective dimension or … on Gorenstein rings both in arbitrary and zero dimension, …
socle ideal, injective dimension or … on Gorenstein rings both in arbitrary and zero dimension, …