Homological dimension based on a class of Gorenstein flat modules
G Dalezios, I Emmanouil - arXiv preprint arXiv:2208.05692, 2022 - arxiv.org
… functor HomR( ,P) for any projective module P. The modules of finite Gorenstein projective
dimension … related to Gorenstein homological algebra in module categories and the theory of …
dimension … related to Gorenstein homological algebra in module categories and the theory of …
Homological dimensions of extriangulated categories and recollements
W Gu, X Ma, L Tan - arXiv preprint arXiv:2104.06042, 2021 - arxiv.org
… global dimension of exact categories. Later, we give some bounds for global dimension of
the categories … Dually, we define the left exact functor between two extriangulated categories. …
the categories … Dually, we define the left exact functor between two extriangulated categories. …
Frobenius functors and Gorenstein homological properties
XW Chen, W Ren - Journal of Algebra, 2022 - Elsevier
… that any faithful Frobenius functor between abelian categories preserves the Gorenstein
projective dimension … on when a Frobenius functor preserves the stable categories of Gorenstein …
projective dimension … on when a Frobenius functor preserves the stable categories of Gorenstein …
[图书][B] Homological theory of representations
H Krause - 2021 - books.google.com
… This book is devoted to representations of associative algebras and their homological theory.
… representations with appropriate functors; this leads to the study of functor categories. We …
… representations with appropriate functors; this leads to the study of functor categories. We …
Functor homology over an additive category
A Djament, A Touzé - arXiv preprint arXiv:2111.09719, 2021 - arxiv.org
… category A. If A = PR and k is an infinite perfect field, our results show that functor homology
is … Namely, we use it to obtain some explicit computations of functor homology, and we prove …
is … Namely, we use it to obtain some explicit computations of functor homology, and we prove …
[HTML][HTML] Gorenstein homological dimensions for extriangulated categories
J Hu, D Zhang, P Zhou - Bulletin of the Malaysian Mathematical Sciences …, 2021 - Springer
… give some characterizations of \(\xi \)-\({\mathcal {G}}\)projective dimension by using derived
functors … Consequently, we show that the following equality holds under some assumptions: …
functors … Consequently, we show that the following equality holds under some assumptions: …
A flat model structure on functor categories
Z Di, L Li, L Liang, Y Ma - arXiv preprint arXiv:2211.10945, 2022 - arxiv.org
… on the category Q,AMod of additive functors from a preadditive category Q satisfying certain
… object (which is a functor) in C,AMod has a certain special homological property, so does its …
… object (which is a functor) in C,AMod has a certain special homological property, so does its …
Homological full-and-faithfulness of comodule inclusion and contramodule forgetful functors
L Positselski - arXiv preprint arXiv:2301.09561, 2023 - arxiv.org
… natural forgetful functor. We prove that the functor Υ induces a fully faithful triangulated
functor on bounded (below) derived categories if and only if the functor Θ induces a fully faithful …
functor on bounded (below) derived categories if and only if the functor Θ induces a fully faithful …
Homological dimensions of Banach spaces
FC Sánchez, JMF Castillo, R García - arXiv preprint arXiv:1908.06526, 2019 - arxiv.org
… for the study of Extn in the category of Banach spaces. That … n-th derived functor of L (the
functor Hom in our ambient category of … of functors works; rather, we will take the long homology …
functor Hom in our ambient category of … of functors works; rather, we will take the long homology …
On derived equivalences and homological dimensions
M Fang, W Hu, S Koenig - Journal für die reine und angewandte …, 2021 - degruyter.com
… then can be characterised intrinsically inside certain derived categories. On the way, a …
write 𝒢 ∘ ℱ for the composition of two functors ℱ : 𝒞 → 𝒟 and 𝒢 : 𝒟 → ℰ between additive …
write 𝒢 ∘ ℱ for the composition of two functors ℱ : 𝒞 → 𝒟 and 𝒢 : 𝒟 → ℰ between additive …