A functorial approach to monomorphism categories for species I

N Gao, J Külshammer, S Kvamme… - Communications in …, 2022 - World Scientific
… In the case of the category mod A of finite-dimensional left modules over a finite-dimensional
algebra A, as is standard, we use HomA(M,N) instead. Denote the category of abelian …

Multimodal dual emotion with fusion of visual sentiment for rumor detection

G Wang, L Tan, Z Shang, H Liu - Multimedia Tools and Applications, 2024 - Springer
… is co-presented with the high-level and low-level features of the image. The specific
manifestations of high-dimensional … we first pre-train the module using an emotion dataset with …

Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras

CW Chen, SJ Cheng, V Mazorchuk - Communications in Mathematical …, 2023 - Springer
… Verma modules to standard Whittaker modules and simple highest weight modules to simple
Whittaker modules … of finite-dimensional locally unital modules over a locally unital algebra. …

Some Results on Homological Algebra and Module Theory

Z Boxun, T Wenting - Rings, Groups, and Algebras, 2020 - taylorfrancis.com
module theory Let R be a ring, M a left R-module. If for every exact sequence of left R-modules
oM -Bco and for every finitely copresented … The FP-injective dimensions of modules over …

Tilting torsion-free classes in the category of comodules

Y Li, H Yao - Bulletin of the Iranian Mathematical Society, 2021 - Springer
… of finitely generated tilting module over a finite-dimensional algebra, see [8]. … module
categories. In 2014, Zhang and Yao [32] characterized f-cotilting comodules, finitely copresented

Auslander's formula for contravariantly finite subcategories

J Asadollahi, R Hafezi, MH Keshavarz - Journal of the Mathematical …, 2021 - jstage.jst.go.jp
… -Λ, where Λ is a finite dimensional Artin algebra over a field k. Note … For a Λ-module M, we
let add-M denote the class of all modules … Consider the following injective copresentation of F: …

Marked non-orientable surfaces and cluster categories via symmetric representations

V Bazier-Matte, A Chan, K Wright - arXiv preprint arXiv:2211.15863, 2022 - arxiv.org
… symmetric structure on the modules of the arising Jacobian … representation theory from the
module category to the cluster … supported at totally finite-dimensional (dg) Γ-modules. Here, W …

FP-Cosilting and FP-Cotilting Modules

L Mao - Bulletin of the Iranian Mathematical Society, 2022 - Springer
… The classic tilting modules were first introduced in the context of finite-dimensional algebras
… {FP}\) is finitely T-copresented and \(T_{S}\) is a coherent module. Moreover, if there is a …

N-Quasi-Abelian Categories vs N-Tilting Torsion Pairs

L Fiorot - Documenta Mathematica, 2021 - content.ems.press
… a right adjoint t defined as in Lemma 2.3: for any A ∈ A let consider a copresentation 0 → …
(right) modules of finite type on a coherent ring R with global dimension n is n-coherent. …

[HTML][HTML] Cluster algebras arising from cluster tubes II: The Caldero-Chapoton map

C Fu, S Geng, P Liu - Journal of Algebra, 2020 - Elsevier
… D f d ( Γ ) the finite dimensional derived category of Γ. Namely, D f d ( Γ ) is the full subcategory
of D ( Γ ) of dg Γ-modules whose homology is of finite total dimension, which is a 3-Calabi-…