Extriangulated categories give a simultaneous generalization of triangulated categories and
exact categories. In this paper, we study silting subcategories of an extriangulated category …

We give a reduction theorem for silting intervals in extriangulated categories, which we call"
silting interval reduction".%{In triangulated categories, it generalizes Pauksztello …

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) …

Presilting and silting subcategories in extriangulated categories were introduced by Adachi
and Tsukamoto recently. In this paper, we prove that the Gabriel-Zisman localization …

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

Presilting and silting subcategories in extriangulated categories were introduced by Adachi
and Tsukamoto recently, which are generalizations of those concepts in triangulated …

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

Extriangulated categories were introduced by Nakaoka and Palu to give a unification of
properties in exact categories and triangulated categories. We consider in this article the …

Let (C, E, s) be an extriangulated category. We show that certain quotient categories of
extriangulated categories are equivalent to module categories by some restriction of functor …

We show that a right triangulated category is best behaved when its shift satisfies conditions
making it what we call a right semi-equivalence. We consider right triangulated categories …