5 citations · 5 across the 2 of their papers we have counts for
4 papers
Hereditary cotorsion pairs and silting subcategories in extriangulated categories
Takahide Adachi, Mayu Tsukamoto
In this paper, we study (complete) cotorsion pairs in extriangulated categories. First, we study a relationship between an interval of the poset of cotorsion pairs and the poset of…
Intervals of -torsion pairs in extriangulated categories with negative first extensions
Takahide Adachi, Haruhisa Enomoto, Mayu Tsukamoto
As a general framework for the studies of -structures on triangulated categories and torsion pairs in abelian categories, we introduce the notions of extriangulated categories w…
Examples of tilting-discrete self-injective algebras which are not silting-discrete
Takahide Adachi, Ryoichi Kase
In this paper, we introduce the notion of -stable silting-discrete algebras, which unify silting-discrete algebras and tilting-discrete self-injective algebras, where is a t…
Tilting modules and dominant dimension with respect to injective modules
Takahide Adachi, Mayu Tsukamoto
In this paper, we study a relationship between tilting modules with finite projective dimension and dominant dimension with respect to injective modules as a generalization of resu…