Different exact structures on the monomorphism categories

R Hafezi, I Muchtadi-Alamsyah - Applied Categorical Structures, 2021 - Springer
Let XX be a contravariantly finite resolving subcategory of mod-\varLambda mod-Λ, the
category of finitely generated right\varLambda Λ-modules. We associate to XX the …

Classifying subcategories in quotients of exact categories

E Arentz-Hansen - Applied Categorical Structures, 2019 - Springer
Classifying Subcategories in Quotients of Exact Categories Page 1 Applied Categorical
Structures (2019) 27:535–547 https://doi.org/10.1007/s10485-019-09564-y Classifying …

Enriched functor categories

M Barr, P Berthiaume, BJ Day, J Duskin… - Reports of the Midwest …, 1969 - Springer
ordinary category would be the category of Y-functors from! to and V-natural transformations
between them. We present here some observations on the problem. The remarks in the …

[PDF][PDF] Derived categories

M Hoshino - Seminar Note, 1997 - u-gakugei.ac.jp
§ 11. Hyper Ext § 12. Localization in triangulated categories § 13. Right derived functors §
14. Left derived functors § 15. Double complexes § 16. Left exact functors of finite …

On the Freyd categories of an additive category

A Beligiannis - 2000 - projecteuclid.org
To any additive category, we associate in a functorial way two additive categories A (), B ().
The category A (), resp. B (), is the reflection of in the category of additive categories with …

[HTML][HTML] Functors (between -categories) that aren't strictly unital

HL Tanaka - Journal of Homotopy and Related Structures, 2018 - Springer
Abstract Let CC and DD be quasi-categories (aka ∞∞-categories). Suppose also that one
has an assignment sending commutative diagrams of CC to commutative diagrams of DD …

[PDF][PDF] Multiple functors. II. The monoidal closed category of multiple categories

A Ehresmann, C Ehresmann - Cahiers de topologie et géométrie …, 1978 - numdam.org
In this Part II we define directly (ie, without reference to sketched structures) and study the
category MCat of multiple categories. M Cat is par-tially monoidal closed, for the «square …

Non-canonical isomorphisms

S Lack - Journal of Pure and Applied Algebra, 2012 - Elsevier
Many categorical axioms assert that a particular canonically defined natural transformation
between certain functors is invertible. We give two examples of such axioms where the …

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 …

Remarks on triples in enriched categories

H Wiesler, G Calugareanu - Bulletin of the Australian Mathematical …, 1970 - cambridge.org
Let v be a symmetric monoidal closed category with equalizers. The v–triples T, T′,… in the
enriched category A, together with suitably defined morphisms form a category v–Trip (A) …