[PDF][PDF] 𝑭𝑪-Projective Comodules and 𝑭𝑪-Projective Dimensions

Q Yuan, H Yao - 2024 - ijapm.org
… (3) Applying the functor Com𝐶(−,𝐹) to the exact sequence for any finitely copresented
right 𝐶-… cocoherent and 𝐹 is finitely copresented, there is an exact sequence of right 𝐶-modules

A Categorical Approach to Linkage

A York - Applied Categorical Structures, 2021 - Springer
modules are called \(G_C^g\)-dimension zero modules and … module that is in the linkage
class of a \(G_C^g\)-dimension … can be presented or copresented by perfect objects we can …

[PDF][PDF] FACULTÉ DES SCIENCES UNIVERSITÉ DE SHERBROOKE

E Gupta - savoirs.usherbrooke.ca
… locally finite-dimensional unital modules over Λ, starting at non-injective finitely copresented
… and finitely co-presented string modules over locally finite-dimensional string algebras. We …

Characterizing higher Auslander (-Gorenstein) Algebras

Z Ding, MH Keshavarz, G Zhou - arXiv preprint arXiv:2402.17293, 2024 - arxiv.org
… the abelianness of the category of modules with projective dimension less than n and a certain
… Since I0, I1, ··· , In ∈ add(Q), clearly, Γ has an add(Tk)copresentation of length k and for …

Pure Goldie Dimensions for Exactly Definable Categories

MK Berktaş - Bulletin of the Iranian Mathematical Society, 2022 - Springer
… of R-modules over a ring R … copresented objects and pure quotient Goldie dimension in
exactly definable categories and prove that every subobject of a pure quotient finite dimensional

Reflective and coreflective subcategories

M Cortés-Izurdiaga, S Crivei, M Saorín - Journal of Pure and Applied …, 2023 - Elsevier
… fully exact subcategories of module categories over small … objects and X -copresented
objects respectively. One then … and finite injective-dimensional right R-modules over a ring R …

[PDF][PDF] Some results on finitistic n-self-cotilting modules

M Amini - aimc51.kashanu.ac.ir
… of (finite dimensional, Artin) algebras, Categories of Modules and Commutative … module L
is called n-finitely U-copresented whenever there exists a long exact sequence of R-modules

Injective Cogenerators, Cotilting Modules and Cosilting Modules

LX Mao - Acta Mathematica Sinica, English Series, 2023 - Springer
… over finite dimensional algebras introduced by Adachi, Iyama and Reiten in [1]. The dual …
ζ→ E1 be an injective copresentation of a left R-module M with ζ an epimorphism. Then M is (…

The Gorenstein transpose of comodules

Y Li, H Yao - Journal of the Korean Mathematical Society, 2021 - koreascience.kr
modules over a finitedimensional (artin) algebra. As a generalization of the transpose of finitely
generated module, … via a minimal Gorenstein injective copresentation of a comodule over …

[PDF][PDF] Some notes on modules in which all submodules have a unique closure

Ö Tasdemir - Miskolc Mathematical Notes, 2022 - real.mtak.hu
… We should note that UC-modules are called dimension modules in [5]. It is well known
that … finitely copresented R-module is semisimple if and only if every finitely copresented R-module