Commentationes Mathematicae Universitatis Carolinae Page 1 Commentationes
Mathematicae Universitatis Carolinae Jiří Adámek; Václav Koubek Cartesian closed functor-structured …

Extriangulated categories were introduced by Nakaoka and Palu by extracting the
similarities between exact categories and triangulated categories. Nakaoka and Palu …

Let be an extriangulated category with enough projectives P \mathcalP and enough
injectives I \mathcalI, and let be a contravariantly finite rigid subcategory of which contains P …

Let $\mathcal C $ be a Krull-Schmidt triangulated category with shift functor $[1] $ and
$\mathcal R $ be a rigid subcategory of $\mathcal C $. We are concerned with the mutation …

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 …

A notion of n-cotorsion pairs in an extriangulated category with enough projectives and
enough injectives is defined in this paper. We show that there exists a one-to-one …

The concept of a T-discrete object is a generalization of the notion of discrete spaces in
concrete categories. In this paper. T-discrete objects are used to define discrete functors …

We define the Grothendieck group of an n-exangulated category. For n odd, we show that
this group shares many properties with the Grothendieck group of an exact or a triangulated …

In this paper, we study the relative tilting theory in extriangulated categories. We introduce
the notion of relative tilting classes in an extriangulated category and then give some …

In this paper we continue the project of generalizing tilting theory to the category of
contravariant functors $ Mod (C) $, from a skeletally small preadditive category $ C $ to the …