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pro vyhledávání: '"Szöllősi, István"'
The directed Cayley diameter of a finite group is investigated in terms of the monoid of product-one sequences over the group, via the new notion of directed geodesic atoms. Two quantities associated to the set of directed geodesic atoms provide lowe
Externí odkaz:
http://arxiv.org/abs/2401.04607
Autor:
Szántó, Csaba, Szöllősi, István
Publikováno v:
In Journal of Pure and Applied Algebra May 2024 228(5)
This document serves as an arXiv entry point for the appendix to the paper [13] (the ancillary file e6_proof.pdf -- ``Proof of the tree module property for exceptional representations of the quiver $\widetilde{\mathbb{E}}_6$'') and the appendix to th
Externí odkaz:
http://arxiv.org/abs/2001.00016
Autor:
Szántó, Csaba, Szöllősi, István
Let $k$ be a field and consider the path algebra $kQ$ of the quiver $Q$. A pair of indecomposable $kQ$-modules $(Y,X)$ is called an orthogonal exceptional pair if the modules are exceptional and $\operatorname{Hom}(X,Y)=\operatorname{Hom}(Y,X)=\opera
Externí odkaz:
http://arxiv.org/abs/1912.07731
The computation of the Noether numbers of all groups of order less than thirty-two is completed. It turns out that for these groups in non-modular characteristic the Noether number is attained on a multiplicity free representation, it is strictly mon
Externí odkaz:
http://arxiv.org/abs/1702.02997
Autor:
Szántó, Csaba, Szöllősi, István
Publikováno v:
In Journal of Pure and Applied Algebra May 2021 225(5)
Autor:
Szántó Csaba, Szöllősi István
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 12, Iss 2, Pp 395-404 (2020)
Let k be an arbitrary field and Q a tame quiver of type ˜D4. Consider the path algebra kQ and the category of finite dimensional right modules mod-kQ. We determine the Hall polynomials Fxyz associated to indecomposable modules of defect ∂z =−2,
Externí odkaz:
https://doaj.org/article/dda43a9ba17d4168a61ce6b6bca4328a
Autor:
Szántó, Csaba, Szöllősi, István
Publikováno v:
Hall polynomials and the Gabriel-Roiter submodules of simple homogeneous modules, Bulletin of the London Mathematical Society, 47 (2), pp. 206-216, 2015
Let k be an arbitrary field and Q an acyclic quiver of tame type. Consider the path algebra kQ and the category of finite dimensional right modules Mod kQ. In the first part of the paper we deduce that the Gabriel-Roiter inclusions in preprojective i
Externí odkaz:
http://arxiv.org/abs/1309.5006
Autor:
Szántó, Csaba, Szöllősi, István
Using a representation theoretical approach we give an explicit numerical characterization in terms of Kronecker invariants of the subfactor relation between two preinjective (and dually preprojective) Kronecker modules, describing explicitly a so ca
Externí odkaz:
http://arxiv.org/abs/1309.4710
Publikováno v:
In Journal of Algebra 15 September 2018 510:513-541