On the Iyama-Yoshino reduction in extriangulated categories
Representation Theory
2025-07-08 v2
Abstract
In this paper, we provide an interpretation of the existing reduction process for extriangulated categories in general. This process allows us to obtain a new category which, for well-known cases, admits a triangulated structure. We will show that in general this new category is extriangulated but not necessarily triangulated.
Keywords
Cite
@article{arxiv.2401.17516,
title = {On the Iyama-Yoshino reduction in extriangulated categories},
author = {Mindy Y. Huerta},
journal= {arXiv preprint arXiv:2401.17516},
year = {2025}
}
Comments
19 pages. arXiv admin note: text overlap with arXiv:2309.14576