7 citations · 18 across the 11 of their papers we have counts for
11 papers
Tilting theoretic approach to quasi-hereditary structures
Takahide Adachi, Aaron Chan, Yuta Kimura +1
A quasi-hereditary algebra is an algebra equipped with a certain partial order on its simple modules. Such a partial order -- called a quasi-hereditary structure -- gives…
Quasi-hereditary rings are closed under taking block extensions
Takahide Adachi, Mayu Tsukamoto
In this paper, we give a sufficient condition for Morita context rings to be quasi-hereditary. As an application, we show that each block extension of a quasi-hereditary ring is al…
An assortment of properties of silting subcategories of extriangulated categories
Takahide Adachi, Mayu Tsukamoto
Extriangulated categories give a simultaneous generalization of triangulated categories and exact categories. In this paper, we study silting subcategories of an extriangulated cat…
Mixed standardization and Ringel duality
Takahide Adachi, Mayu Tsukamoto
Dlab--Ringel's standardization method gives a realization of a standardly stratified algebra. In this paper, we construct mixed stratified algebras, which are a generalization of s…
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…
Strongly quasi-hereditary algebras and rejective subcategories
Mayu Tsukamoto
Ringel's right-strongly quasi-hereditary algebras are a distinguished class of quasi-hereditary algebras of Cline-Parshall-Scott. We give characterizations of these algebras in ter…
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…
On strongly quasi-hereditary algebras
Mayu Tsukamoto
Let be a finite dimensional algebra over an algebraically closed field . If is quasi-hereditary and the projective dimensions of all standard modules are at mos…