Mathematics | Free Full-Text | Tilting and Cotilting in Functor Categories | HTML Next Article in
Journal Preliminary Results on the Preinduction Cervix Status by Shear Wave Elastography …

In this article, we introduce the notion of concentric twin cotorsion pair on a triangulated
category. This notion contains the notions of t-structure, cluster tilting subcategory, co-t …

We introduce the notions of silting comodules and finitely silting comodules in quasi-finite
category, and study some properties of them. We investigate the torsion pair and dualities …

Assume that D is a Krull-Schmidt, Hom-finite triangulated category with a Serre functor and a
cluster-tilting object T. We introduce the notion of ghost-tilting objects, and T [1]-tilting objects …

In the preceding part (I) of this paper, we showed that for any torsion pair (ie, t-structure
without the shift-closedness) in a triangulated category, there is an associated abelian …

Let $\mathcal {E}=(\mathcal {A},\mathcal {S}) $ be an exact category with enough projectives
$\mathcal {P} $. We introduce the notion of support $\tau $-tilting subcategories of $\mathcal …

For a recollement ( A , B , C ) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}
\usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} …

Let C be a triangulated category with shift functor [1] and R a rigid subcategory of C. We
introduce the notions of two-term R [1]-rigid subcategories, two-term (weak) R [1]-cluster …

Based on Beligiannis's theory in [Beligiannis, A.(2000). Relative homological algebra and
purity in triangulated categories. J. Algebra 227 (1): 268–361], we introduce and study E …

Tilting theory has been a very important tool in the classification of finite dimensional
algebras of finite and tame representation type, as well as, in many other branches of …