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 category …

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 …

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 …

Extriangulated categories were introduced by Nakaoka and Palu to give a unification of
properties in exact categories and extension-closed subcategories of triangulated …

We define tilting subcategories in arbitrary exact categories to archieve the following. Firstly:
Unify existing definitions of tilting subcategories to arbitrary exact categories. Discuss …

We generalize tilting with respect to a tilting module of projective dimension at most one for
an Artin algebra to tilting with respect to a torsion pair in an Abelian category. Our …

Extriangulated category was introduced by H. Nakaoka and Y. Palu to give a unification of
properties in exact categories and triangulated categories. A notion of tilting (resp., cotilting) …

A SHORT PROOF OF HRS-TILTING 1. Introduction Let A be an abelian category. Recall that
a torsion pair on A is a pair (T , F ) of Page 1 PROCEEDINGS OF THE AMERICAN …

Abstract Let E=(A, S) be an exact category with enough projectives P. We introduce the
notion of support τ-tilting subcategories of E. It is compatible with the existing definitions of …

We introduce the notion of noncompact (partial) silting and (partial) tilting sets and objects in
any triangulated category D with arbitrary (set-indexed) coproducts. We show that …