It is shown that the category of enriched functors [C, V] is Grothendieck whenever V is a
closed symmetric monoidal Grothendieck category and C is a category enriched over V …

Let C be a finite tensor category with simple unit object, let Z (C) denote its monoidal center,
and let L and R be a left adjoint and a right adjoint of the forgetful functor U: Z (C)→ C. We …

arXiv:0904.2486v1 [math.CT] 16 Apr 2009 Page 1 arXiv:0904.2486v1 [math.CT] 16 Apr 2009
The category of categories with pullbacks is cartesian closed John Bourke email:johnb@maths.usyd.edu.au …

Monoidal categories and functors Page 1 Chapter 1 Monoidal categories and functors The
study of monoidal categories originated in the work of Jean Bénabou [Ben] and Saunders …

Finiteness conditions of reflexive objects of a Morita duality of Grothendieck category is
studied. It is observed that the relation between coproduct and product is a fundamental fact …

Let (A, B, C) be a recollement of extriangulated categories. In this paper we introduce the
global dimension and extension dimension of extriangulated categories, and give some …

On the other hand if S is left adjoint to T, then pdSA< pdA for all AE A. Moreover if A is
projective, then it is only necessary to assume that the right adjoint T is exact in order that SA …

We study the properties of torsion pairs in triangulated category by introducing the notions of
d-Ext-projectivity and d-Ext-injectivity. In terms of-mutation of torsion pairs, we investigate the …

§ 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 …

HOMOTOPY THEORY OF COFIBRATION CATEGORIES Introduction Page 1 Homology,
Homotopy and Applications, vol.18(2), 2016, pp.345–357 HOMOTOPY THEORY OF …