Relative rigid objects in extriangulated categories
نویسندگان
چکیده
In this paper, we study a close relationship between relative cluster tilting theory in extriangulated categories and τ-tilting module categories. Our main results show that rigid objects are bijection with τ-rigid pairs, also maximal support pairs under some assumptions. These generalize the work by Adachi-Iyama-Reiten, Yang-Zhu Fu-Geng-Liu. addition, introduce mutation of any basic almost object has exactly two non-isomorphic indecomposable complements. All highlight new phenomena when they applied to exact
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2022
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2021.106923