Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Bogdana Oliynyk"'
Autor:
Oksana Bezushchak, Bogdana Oliynyk
Publikováno v:
Bulletin of Mathematical Sciences, Vol 10, Iss 1, Pp 2050006-1-2050006-7 (2020)
We construct a unital locally matrix algebra of uncountable dimension that (1) does not admit a primary decomposition, (2) has an infinite locally finite Steinitz number. It gives negative answers to questions from [V. M. Kurochkin, On the theory of
Externí odkaz:
https://doaj.org/article/aa6078a60c6742d7bbe7b548f93bfead
Autor:
Oksana Bezushchak, Bogdana Oliynyk
We parameterize countable locally standard Boolean measure algebras by pairs of a Steinitz number and a real number greater or equal to [Formula: see text] This is an analog of the theorems of Dixmier and Baranov.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87b4bd425745e29bfb6ddf21bebb1bdc
http://arxiv.org/abs/2210.16920
http://arxiv.org/abs/2210.16920
Autor:
Bogdana Oliynyk, Andrii Oliynyk
Publikováno v:
Mohyla Mathematical Journal. 2:3-5
In this note, we give answers to three questions from the paper [A. Das, Triameter of graphs, Discuss. Math. Graph Theory, 41 (2021), 601--616]. Namely, we obtain a tight lower bound for the triameter of trees in terms of order and number of leaves.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b97cd9ef944d55c82c721a5051ca19d
Publikováno v:
Mohyla Mathematical Journal. 1:3-5
Publikováno v:
Communications in Algebra. 46:597-609
The construction of homogeneous monomial groups are given and their basic properties are studied. The structure of a centralizer of an element is completely described and the problem of conjugacy o...
Autor:
Oksana Bezushchak, Bogdana Oliynyk
Publikováno v:
Journal of Algebra and Its Applications. 20:2150147
We study an abstract class of Hamming spaces (known also as measure algebras) that generalizes standard Hamming spaces [Formula: see text]. We classify countable locally standard Hamming spaces and show that each of them can be realized as the Boolea
Autor:
Bogdana Oliynyk, Oksana Bezushchak
Publikováno v:
Bulletin of Mathematical Sciences, Vol 10, Iss 1, Pp 2050006-1-2050006-7 (2020)
We construct a unital locally matrix algebra of uncountable dimension that (1) does not admit a primary decomposition, (2) has an infinite locally finite Steinitz number. It gives negative answers to questions from [V. M. Kurochkin, On the theory of
Autor:
Dudenko, M., Bogdana Oliynyk
Publikováno v:
Scopus-Elsevier
A metric basis S of a graph G is the subset of vertices of minimum cardinality such that all other vertices are uniquely determined by their distances to the vertices in S. The metric dimension of a graph G is the cardinality of the subset S. A unicy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::c4a323ccd68cf1b8a483954f9550526f
http://dspace.nbuv.gov.ua/handle/123456789/156023
http://dspace.nbuv.gov.ua/handle/123456789/156023
Autor:
Oksana Bezushchak, Bogdana Oliynyk
Publikováno v:
Journal of Algebra and Its Applications. 19:2050180
An [Formula: see text]-algebra [Formula: see text] with unit [Formula: see text] is said to be a locally matrix algebra if an arbitrary finite collection of elements [Formula: see text] from [Formula: see text] lies in a subalgebra [Formula: see text