1 citations · 1 across the 4 of their papers we have counts for
5 papers
The unitary Cayley graph of upper triangular matrix rings
Waldemar Hołubowski, Sergiy Kozerenko, Bogdana Oliynyk +1
The unitary Cayley graph of a finite unital ring is the simple graph with vertex set in which two elements and are connected by an edge if and only if i…
Ideals of general linear Lie algebras of infinite-dimensional vector spaces
Oksana Bezushchak, Waldemar Hołubowski, Bogdana Oliynyk
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…
Normal subgroups in the group of column-finite infinite matrices
Waldemar Hołubowski, Martyna Maciaszczyk, Sebastian Żurek
The classical result, due to Jordan, Burnside, Dickson, says that every normal subgroup of ( - a field, ) which is not contained in the center, contains $SL…
Lie algebra of column-finite infinite matrices: ideals and derivations
Waldemar Hołubowski, Sebastian Żurek
In this paper we shall consider the Lie algebra of column-finite infinite matrices indexed by positive integers , describe the lattice of its ideals for arbitrary field…
Bijections preserving commutators and automorphisms of unitriangular group
Waldemar Holubowski, Alexei Stepanov
We complete characterization of bijections preserving commutators (PC-maps) in the group of unitriangular matrices over a field , where is a natural number or infi…