11 citations · 27 across the 8 of their papers we have counts for
8 papers
Exact dg structures are classified intrinsically by bi-Serre subcategories
Yasuaki Ogawa
The aim of this article is to leverage Enomoto's classification of exact structures to the dg level. Let be a connective additive idempotent complete dg category. We…
A resolution theorem for extriangulated categories with applications to the index
Yasuaki Ogawa, Amit Shah
Quillen's Resolution Theorem in algebraic -theory provides a powerful computational tool for calculating -groups of exact categories. At the level of , this result goes…
Localization of triangulated categories with respect to extension-closed subcategories
Yasuaki Ogawa
The aim of this paper is to develop a framework for localization theory of triangulated categories , that is, from a given extension-closed subcategory o…
Localization of extriangulated categories
Hiroyuki Nakaoka, Yasuaki Ogawa, Arashi Sakai
In this article, we show that the localization of an extriangulated category by a multiplicative system satisfying mild assumptions can be equipped with a natural, universal struct…
Abelian categories from triangulated categories via Nakaoka-Palu's localization
Yasuaki Ogawa
The aim of this paper is to provide an expansion to Abe-Nakaoka's heart construction of the following two different realizations of the module category over the endomorphism ring o…
Auslander's defects over extriangulated categories: an application for the General Heart Construction
Yasuaki Ogawa
The notion of extriangulated category was introduced by Nakaoka and Palu giving a simultaneous generalization of exact categories and triangulated categories. Our first aim is to p…
Singular equivalences of functor categories via Auslander-Buchweitz approximations
Yasuaki Ogawa
The aim of this paper is to construct singular equivalences between functor categories. As a special case, we show that there exists a singular equivalence arising from a cotilting…
Recollements for dualizing -varieties and Auslander's formulas
Yasuaki Ogawa
Given the pair of a dualizing -variety and its functorially finite subcategory, we show that there exists a recollement consisting of their functor categories of finitely presen…