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pro vyhledávání: '"Hołubowski, Waldemar"'
The unitary Cayley graph $C_R$ of a finite unital ring $R$ is the simple graph with vertex set $R$ in which two elements $x$ and $y$ are connected by an edge if and only if $x-y$ is a unit of $R$. We characterize the unitary Cayley graph $C_{T_n (\ma
Externí odkaz:
http://arxiv.org/abs/2403.01303
Let V be an infinite-dimensional vector space over a field of characteristic not equal to 2. We classify ideals of the Lie algebra gl(V) of all linear transformations of the space V.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2112.02431
Autor:
Hołubowski, Waldemar, Żurek, Sebastian
Publikováno v:
In Journal of Algebra 1 April 2023 619:517-537
The classical result, due to Jordan, Burnside, Dickson, says that every normal subgroup of $GL(n, K)$ ($K$ - a field, $n \geq 3$) which is not contained in the center, contains $SL(n, K)$. A. Rosenberg gave description of normal subgroups of $GL(V)$,
Externí odkaz:
http://arxiv.org/abs/1808.06873
Autor:
Hołubowski, Waldemar, Żurek, Sebastian
In this paper we shall consider the Lie algebra of column-finite infinite matrices indexed by positive integers $\mathbb{N}$, describe the lattice of its ideals for arbitrary field $K$ and study its derivations over any commutative, unital ring $R$.<
Externí odkaz:
http://arxiv.org/abs/1806.01099
Autor:
Holubowski, Waldemar, Stepanov, Alexei
We complete characterization of bijections preserving commutators (PC-maps) in the group of unitriangular matrices $UT(n,F)$ over a field $F$, where $n$ is a natural number or infinity. PC-maps were recently described up to almost identity PC-maps by
Externí odkaz:
http://arxiv.org/abs/1505.06355
Autor:
HOŁUBOWSKI, Waldemar1 waldemar.holubowski@polsl.pl, FRANKIEWICZ, Ryszard1 ryszard.frankiewicz@polsl.pl, KUSIŃSKI, Sławomir1 slawomir.kusinski@polsl.pl, SIKORA, Andrzej2 andrzej.sikora@polsl.pl, ZIELONKA, Adam1 adam.zielonka@polsl.pl
Publikováno v:
Transport Problems: an International Scientific Journal. 2023, Vol. 18 Issue 1, p103-115. 13p.
Autor:
Hołubowski, Waldemar
Publikováno v:
Proceedings of the American Mathematical Society, 2002 Sep 01. 130(9), 2579-2582.
Externí odkaz:
https://www.jstor.org/stable/2699674
Autor:
Hołubowski, Waldemar
Publikováno v:
In Linear Algebra and Its Applications 1 March 2016 492:9-12
Publikováno v:
In Linear Algebra and Its Applications 15 April 2015 471:85-95