Gorenstein Weak n-Silting Modules and Weak n-Star Modules

Q Yuan, H Yao - Bulletin of the Iranian Mathematical Society, 2023 - Springer
… We fix all rings are non-zero n-Gorenstein rings, which … \) consists of all of finitely generated
Gorenstein projective modules. … a partial Gorenstein weak n-tilting module if it satisfies (GW1) …

Model structures and relative Gorenstein flat modules and chain complexes

S Estrada, A Iacob, MA Pérez - Categorical, homological and …, 2020 - books.google.com
… of modules and chain complexes over an arbitrary ring. This … perfect if every object of G has
an A-cover and a B-envelope. … with Pk finitely generated and projective for every k≥ 0. Let …

Local coherence of hearts in the derived category of a commutative ring

L Martini - 2022 - iris.unitn.it
… case the ring R has a dualising complex (eg it is Gorenstein) … injective envelopes for its
objects; in particular, it has enough … support of a torsion module or of a finitely generated module

Dualities from iterated tilting

B Huisgen-Zimmermann - Israel Journal of Mathematics, 2021 - Springer
… of finitely generated left Λ-modules of finite projective dimension, to … Ei = E(Si) denotes the
injective envelope of Si in Λ-mod. We … suffices to check that Dk again satisfies these latter two …

Absolutely w-Pure Modules and Weak FP-Injective Dimensions

Q Li - Results in Mathematics, 2022 - Springer
… a coherent ring R, we show that any direct limit of R-modules \… R-modules K and M, E(M)
stands for the injective envelope of … P finitely generated free and K finitely generated. Hence K is …

Gorenstein objects in the category of -complexes

B Lu - Journal of Algebra and Its Applications, 2021 - World Scientific
… an associative ring with an identity and by the term “module” we … resolution by finitely
generated projectives. A … A , we use X ⊥Y to denote X and Y satisfying the following condition: …

Reflective and coreflective subcategories

M Cortés-Izurdiaga, S Crivei, M Saorín - Journal of Pure and Applied …, 2023 - Elsevier
… notions of X -preenvelope, X -reflection and X -envelope in a dual fashion. … ring R with a
dualizing module, the class M C M ( R ) of finitely generated maximal Cohen-Macaulay modules

Determination of some almost split sequences in morphism categories

R Hafezi, H Eshraghi - Journal of Algebra, 2023 - Elsevier
envelope of an indecomposable Λ-module C, and also non-… over T 2 ( Λ ) , and that T 2
( Λ ) is 1-Gorenstein in this setting, … -Λ to indicate finitely generated indecomposable Λ-modules. …

[图书][B] Definable subcategories of maximal Cohen-Macaulay modules

I Bird - 2020 - search.proquest.com
finitely generated modules which coincides with the class of … module of R, then R Ω is a
Gorenstein ring and we have a … to give the precise structure of a module’s injective envelope. …

Moduli stacks of Galois representations and the -adic local Langlands correspondence for

C Johansson, J Newton, C Wang-Erickson - arXiv preprint arXiv …, 2024 - arxiv.org
… algebra of the injective envelope of an irreducible one-… and G-equivariant finitely generated
A-modules, respectively, … Since we assumed that A is Gorenstein, A itself (in degree 0) …