2 papers
math.KT2023
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…
math.CT2021
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…