5 citations · 5 across the 2 of their papers we have counts for
5 papers · 1 filter
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…
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…
On an upper bound for the global dimension of Auslander--Dlab--Ringel algebras
Mayu Tsukamoto
Lin and Xi introduced Auslander--Dlab--Ringel (ADR) algebras of seimlocal modules as a generalization of original ADR algebras and showed that they are quasi-hereditary. In this pa…
Hochschild cohomology of -Schur algebras
Mayu Tsukamoto
We compute the Hochschild cohomology of any block of -Schur algebras. We focus the even part of this Hochschild cohomology ring. To compute the Hochschild cohomology of -Schu…