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pro vyhledávání: '"Michio Yoshiwaki"'
Autor:
Yusuke Imoto, Tomonori Nakamura, Emerson G Escolar, Michio Yoshiwaki, Yoji Kojima, Yukihiro Yabuta, Yoshitaka Katou, Takuya Yamamoto, Yasuaki Hiraoka, Mitinori Saitou
Publikováno v:
Life Science Alliance. 5(12)
Single-cell RNA sequencing (scRNA-seq) can determine gene expression in numerous individual cells simultaneously, promoting progress in the biomedical sciences. However, scRNA-seq data are high-dimensional with substantial technical noise, including
Publikováno v:
Communications in Algebra. 49:1048-1070
Assume that a basic algebra $A$ over an algebraically closed field $\Bbbk$ with a basic set $A_0$ of primitive idempotents has the property that $eAe=\Bbbk$ for all $e \in A_0$. Let $n$ be a nonzero integer, and $\phi$ and $\psi$ two automorphisms of
Publikováno v:
Applicable Algebra in Engineering, Communication and Computing.
In order to better understand and to compare interleavings between persistence modules, we elaborate on the algebraic structure of interleavings in general settings. In particular, we provide a representation-theoretic framework for interleavings, sh
Publikováno v:
Computational Geometry. :101879
In the persistent homology of filtrations, the indecomposable decompositions provide the persistence diagrams. However, in almost all cases of multidimensional persistence, the classification of all indecomposable modules is known to be a wild proble
Autor:
Michio Yoshiwaki
Publikováno v:
Journal of Algebra. 490:437-440
For a Noetherian ring R and a cotilting R-module T of injective dimension at least 1, we prove that the derived dimension of R with respect to the category X T is precisely the injective dimension of T by applying Auslander–Buchweitz theory and Gho
Publikováno v:
Japan Journal of Industrial and Applied Mathematics. 34:489-507
Let A be a finite-dimensional algebra over an algebraically closed field $$\Bbbk $$ . For any finite-dimensional A-module M we give a general formula that computes the indecomposable decomposition of M without decomposing it, for which we use the kno
Publikováno v:
Journal of Algebra. 399:205-219
This paper introduces a concept of dimension of a triangulated category with respect to a fixed full subcategory. For the bounded derived category of an abelian category, upper bounds of the dimension with respect to a contravariantly finite subcateg
Autor:
Michio Yoshiwaki
Publikováno v:
Nagoya Math. J. 203 (2011), 101-108
Let A be a self-injective algebra over an algebraically closed field. We study the stable dimension of A, which is the dimension of the stable module category of A in the sense of Rouquier. Then we prove that A is representation-finite if the stable
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bda2ebae8de16b4d52a92bb18063e264
http://projecteuclid.org/euclid.nmj/1313682313
http://projecteuclid.org/euclid.nmj/1313682313