It is proved that any tilting adjunction is completely described by an exact category with a
coherence property and the closure condition that exact sequences are acyclic. The …

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 …

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 …

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 …

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) …

Motivated by its links to τ-tilting theory, we introduce left weak cotorsion pairs, as a
generalization of cotorsion pairs in module categories. Such pairs are also linked to co-t …

Tilting complexes, pe categories and reck derived module categories o rings Page 1
Journal of Pure and Applied ,?Igebra 73 ( 1991) l’ I I-232 North-Holland 211 Tilting …

Happel [6] and Cline, Parshall and Scott [4] showed that the tilting functors of Happel and
Ringel [8] can be interpreted in terms of an equivalence of derived categories of the module …

Tilting Theory for Comodule Categories* Page 1 Southeast Asian Bulletin of Mathematics (2009)
33: 757-767 ö 7y^ . . Bulletin of Mathematics © SEAMS. 2009 Tilting Theory for Comodule …

In a compactly generated triangulated category, we introduce a class of tilting objects
satisfying a certain purity condition. We call these the decent tilting objects and show that the …