Cotorsion pairs and adjoint functors in the homotopy category of -complexes

P Bahiraei - Journal of Algebra and Its Applications, 2020 - World Scientific
In this paper, we first construct some complete cotorsion pairs on the category ℂ N (𝒢) of
unbounded N-complexes of Grothendieck category 𝒢, from two given cotorsion pairs in 𝒢 …

Morita theorems for functor categories

DC Newell - Transactions of the American Mathematical Society, 1972 - JSTOR
Morita Theorems for Functor Categories Page 1 TRANSACTIONS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 168, June 1972 MORITA THEOREMS FOR FUNCTOR …

An introduction to enriched cofunctors

B Clarke, M Di Meglio - arXiv preprint arXiv:2209.01144, 2022 - arxiv.org
Cofunctors are a kind of map between categories which lift morphisms along an object
assignment. In this paper, we introduce cofunctors between categories enriched in a …

[PDF][PDF] Cartesian closed functor-structured categories

J Adámek, V Koubek - Commentationes Mathematicae Universitatis …, 1980 - dml.cz
Commentationes Mathematicae Universitatis Carolinae Page 1 Commentationes
Mathematicae Universitatis Carolinae Jiří Adámek; Václav Koubek Cartesian closed functor-structured …

Cotorsion classes in higher homological algebra

J Asadollahi, A Mehregan, S Sadeghi - Journal of Pure and Applied …, 2022 - Elsevier
In this paper, the notion of cotorsion classes is introduced into the higher homological
algebra. Our results motivate the definition, showing that this notion of n-cotorsion classes …

QF functors and (co) monads

B Mesablishvili, R Wisbauer - Journal of Algebra, 2013 - Elsevier
One reason for the universal interest in Frobenius algebras is that their characterisation can
be formulated in arbitrary categories: a functor K: A→ B between categories is Frobenius if …

Compactly generated triangulated subcategories of homotopy categories induced by cotorsion pairs

W Chen, Z Liu, X Yang - Journal of Algebra and Its Applications, 2018 - World Scientific
In this paper, we investigate the homotopy categories K (𝒳∩ 𝒴) and K (𝒳∩ 𝒴 ̃) with respect
to a complete and hereditary cotorsion pair (𝒳, 𝒴) in a bicomplete abelian category. We …

Hearts of cotorsion pairs are functor categories over cohearts

Y Liu - arXiv preprint arXiv:1504.05271, 2015 - arxiv.org
[1504.05271] Hearts of cotorsion pairs are functor categories over cohearts Skip to main
content Cornell University We gratefully acknowledge support from the Simons Foundation …

[引用][C] Polynomial functors and categorifications

J Hong - 2012 - Tel Aviv University

Derived categories for Grothendieck categories of enriched functors

G Garkusha, D Jones - Contemp. Math, 2019 - books.google.com
The derived category D [C, V] of the Grothendieck category of enriched functors [C, V], where
V is a closed symmetric monoidal Grothendieck category and C is a small V-category, is …