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pro vyhledávání: '"Yamaura, Kota"'
In representation theory of graded Iwanaga-Gorenstein algebras, tilting theory of the stable category $\underline{\mathsf{CM}}^{\mathbb{Z}} A$ of graded Cohen-Macaulay modules plays a prominent role. In this paper we study the following two central p
Externí odkaz:
http://arxiv.org/abs/2210.06211
Publikováno v:
In Journal of Algebra 1 February 2025 663:259-288
Autor:
Minamoto, Hiroyuki, Yamaura, Kota
We discuss finitely graded Iwanaga-Gorenstein (IG) algebras $A$ and representation theory of their (graded) Cohen-Macaulay (CM) modules. By quasi-Veronese algebra construction, in principle, we may reduce our study to the case where $A$ is a trivial
Externí odkaz:
http://arxiv.org/abs/1812.03746
Autor:
Minamoto, Hiroyuki, Yamaura, Kota
Happel constructed a fully faithful functor $\mathcal{H} :\mathsf{D}^{\mathrm{b}}(\text{mod} \ \Lambda) \to \underline{\text{mod}}^{\Bbb{Z}} \ \text{T}(\Lambda)$ for a finite dimensional algebra $\Lambda$. He also showed that this functor $\mathcal{H
Externí odkaz:
http://arxiv.org/abs/1811.08036
Publikováno v:
Forum Math. Sigma 8 (2020), e36
For a $Z$-graded Gorenstein ring $R$, we study the stable category $CM^ZR$ of $Z$-graded maximal Cohen-Macaulay $R$-modules, which is canonically triangle equivalent to the singularity category of Buchweitz and Orlov. Its thick subcategory given as t
Externí odkaz:
http://arxiv.org/abs/1803.05269
Autor:
Minamoto, Hiroyuki, Yamaura, Kota
Let $A= \Lambda \oplus C$ be a trivial extension algebra. The aim of this paper is to establish formulas for the projective dimension and the injective dimension for a certain class of $A$-modules which is expressed by using the derived functors $- \
Externí odkaz:
http://arxiv.org/abs/1710.01469
Autor:
Minamoto, Hiroyuki, Yamaura, Kota
Publikováno v:
In Journal of Algebra 1 January 2021 565:441-488
Autor:
Mizuno, Yuya, Yamaura, Kota
We show that $m$-APR tilting preserves $n$-representation infiniteness for $1\leq m\leq n$. Moreover, we show that these tilting modules provide different tilting modules for the corresponding higher preprojective algebras, which is $(n+1)$-CY algebr
Externí odkaz:
http://arxiv.org/abs/1503.08475
Autor:
Minamoto, Hiroyuki, Yamaura, Kota
Publikováno v:
In Advances in Mathematics 28 October 2020 373
Autor:
Minamoto, Hiroyuki, Yamaura, Kota
Publikováno v:
In Journal of Pure and Applied Algebra August 2020 224(8)