2 papers
math.CO2024
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…
math.RA2021
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…