… We define tilting subcategories in arbitrary exact categories to archieve the following. Firstly:
… of tilting subcategories to arbitrary exact categories. Discuss standard results for tilting …

… In this article we show that all kinds of tilting arise from a special class of exact categories (in
… we call tilting categories. For an n-tilting module [Citation4, Citation12], the associated tilting …

… on triangulated categories, but also on exact categories. In … categories which are neither
exact nor triangulated (see [16… tilting theory in extriangulated categories and τ-tilting theory. In …

… We show that there is a bijection between support τ-tilting subcategories and certain τ-…
τ-tilting subcategory T , we find a subcategory E T of E which is an exact category and T is a tilting …

… tilting subcategory. We show that \({\mathcal {C}}\) is cluster tilting if and only if the factor
category \({\… the related results on a triangulated category and is new for an exact category case. …

… results on exact categories and triangulated categories can be … tilting subcategories in an
extriangulated category and study their properties. This enables us to treat the tilting theory and …

… We describe conflations on the Frobenius exact category \(\textsf{C}_m(\mathcal {C})\). A
sequence \(\epsilon : U\xrightarrow {\, f \, } V\xrightarrow {\, g \, } W\) in \(\textsf{C}_m(\mathcal {C}…

… the tilting theory in exact categories built this way, coincides with tilting objects in extriangulated
categories … It is worth mentioning that a relative tilting theory was recently presented by …

… theory of relative tilting objects in abelian categories, where inter alia, will be obtained a relative
version of the Auslander-Reiten correspondence in abelian categories. … exact sequence …

… For this reason, we consider the quotient of an exact category by a pseudo-cluster-tilting
subcategory, and get the … Let M be an exact category and P a pseudo-cluster-tilting subcategory. …