## 15 Citations

Gluing of derived equivalences of dg categories

- Mathematics
- 2022

A diagram consisting of differential graded (dg for short) categories and dg functors is formutated as a colax functor X from a small category I to the 2category k-dgCat of dg categories, dg functors…

Derived Equivalences of Actions of a Category

- MathematicsAppl. Categorical Struct.
- 2013

This work investigates derived equivalences of those oplax functors, and establishes a Morita type theorem for them, which gives a base of investigations of derived equivalence of Grothendieck constructions of those Oplaxfunctors.

Derived equivalences of functor categories

- MathematicsJournal of Pure and Applied Algebra
- 2019

On the Recollements of Functor Categories

- MathematicsAppl. Categorical Struct.
- 2016

This paper presents some applications, including recollement of triangular matrix rings, an example of a recollement in Gorenstein derived level and recollements of derived categories of N-complexes.

On Cohen-Macaulay Auslander algebras

- Mathematics
- 2018

Cohen-Macaulay Auslander algebras are the endomorphism algebras of representation generators of the subcategory of Gorenstein projective modules over $\rm{CM}$-finite algebras. In this paper, we…

Cohen–Montgomery Duality for Pseudo-actions of a Group

- Mathematics
- 2020

Throughout this article, we fix a group G and a commutative ring
$$\Bbbk $$
. This is an exposition on 2-equivalences between a 2-category of small
$$\Bbbk $$
-categories with pseudo G-actions…

From subcategories to the entire module categories

- Mathematics
- 2019

Abstract In this paper we show that how the representation theory of subcategories (of the category of modules over an Artin algebra) can be connected to the representation theory of all modules over…

Smash products of group weighted bound quivers and Brauer graphs

- MathematicsCommunications in Algebra
- 2019

Abstract Let be a field, G a group, and (Q, I) a bound quiver. A map is called a G-weight on Q, which defines a G-graded -category , and W is called homogeneous if I is a homogeneous ideal of the…

When stable Cohen-Macaulay Auslander algebra is semisimple

- Mathematics
- 2021

Let Gprj-Λ denote the category of Gorenstein projective modules over an Artin algebra Λ and the category mod-(Gprj-Λ) of finitely presented functors over the stable category Gprj-Λ. In this paper, we…

A functorial approach to monomorphism categories for species I

- MathematicsCommunications in Contemporary Mathematics
- 2021

We introduce a very general extension of the monomorphism category as studied by Ringel and Schmidmeier which in particular covers generalized species over locally bounded quivers. We prove that…

## References

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The Grothendieck Construction and Gradings for Enriched Categories

- Mathematics
- 2009

The Grothendieck construction is a process to form a single category from a diagram of small categories. In this paper, we extend the definition of the Grothendieck construction to diagrams of small…

Derived Equivalences of Actions of a Category

- MathematicsAppl. Categorical Struct.
- 2013

This work investigates derived equivalences of those oplax functors, and establishes a Morita type theorem for them, which gives a base of investigations of derived equivalence of Grothendieck constructions of those Oplaxfunctors.

Deriving DG categories

- Mathematics
- 1994

— We investigate the (unbounded) derived category of a differential Z-graded category (=DG category). As a first application, we deduce a "triangulated analogue" (4.3) of a theorem of Freyd's [5],…

Presentations of Grothendieck Constructions

- Mathematics
- 2011

We will give quiver presentations of the Grothendieck constructions of functors from a small category to the 2-category of 𝕜-categories for a commutative ring 𝕜.

Bimodule Complexes via Strong Homotopy Actions

- Mathematics
- 1999

We present a new and explicit method for lifting a tilting complex to a bimodule complex. The key ingredient of our method is the notion of a strong homotopy action in the sense of Stasheff.

Basic Bicategories

- Psychology
- 1998

A concise guide to very basic bicategory theory, from the definition of a bicategory to the coherence theorem.

Coherence of tricategories

- Psychology
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Interestingly, coherence of tricategories that you really wait for now is coming. It's significant to wait for the representative and beneficial books to read. Every book that is provided in better…