Zobrazeno 1 - 10
of 65
pro vyhledávání: '"ADACHI, TAKAHIDE"'
We give a brief introduction to $\tau$-tilting theory [AIR]. In particular, we will see how our theory unifies two different branches of tilting theory, namely, silting theory and cluster tilting theory. We also introduce the history and recent devel
Externí odkaz:
http://arxiv.org/abs/2410.15842
Autor:
Adachi, Takahide, Tsukamoto, Mayu
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 also quasi-hereditary.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2306.14223
Autor:
Adachi, Takahide, Tsukamoto, Mayu
Extriangulated categories give a simultaneous generalization of triangulated categories and exact categories. In this paper, we study silting subcategories of an extriangulated category. First, we show that a silting subcategory induces a basis of th
Externí odkaz:
http://arxiv.org/abs/2303.08125
Autor:
Adachi, Takahide, Tsukamoto, Mayu
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 standardly stratified algebras, following Dlab--Ringel's standardizatio
Externí odkaz:
http://arxiv.org/abs/2202.06057
Autor:
Adachi, Takahide, Tsukamoto, Mayu
Publikováno v:
In Linear Algebra and Its Applications 1 July 2024 692:24-36
Autor:
Adachi, Takahide, Tsukamoto, Mayu
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 cotorsion pairs in the heart associated to the interval. Secondly, we
Externí odkaz:
http://arxiv.org/abs/2108.07773
As a general framework for the studies of $t$-structures on triangulated categories and torsion pairs in abelian categories, we introduce the notions of extriangulated categories with negative first extensions and $s$-torsion pairs. We define a heart
Externí odkaz:
http://arxiv.org/abs/2103.09549
Autor:
Adachi, Takahide, Tsukamoto, Mayu
Publikováno v:
In Journal of Algebra 1 March 2024 641:546-586
Autor:
Adachi, Takahide, Kase, Ryoichi
In this paper, we introduce the notion of $\nu$-stable silting-discrete algebras, which unify silting-discrete algebras and tilting-discrete self-injective algebras, where $\nu$ is a triangle auto-equivalence of the bounded homotopy category of finit
Externí odkaz:
http://arxiv.org/abs/2012.14119
Autor:
Adachi, Takahide, Tsukamoto, Mayu
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 results of Crawley-Boevey-Sauter, Nguyen-Reiten-Todorov-Zhu and Pressland-
Externí odkaz:
http://arxiv.org/abs/1902.09185