Nicolai N. Semko (dedicated to 60-th Birthday)
We warmly congratulate N. N. Semko on his 60th birthday and wish him strong health and many successful years of research and teaching.
Збережено в:
| Дата: | 2017 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156238 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Nicolai N. Semko (dedicated to 60-th Birthday) // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — англ. |
Репозитарії
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irk-123456789-1562382019-06-19T01:26:32Z Nicolai N. Semko (dedicated to 60-th Birthday) We warmly congratulate N. N. Semko on his 60th birthday and wish him strong health and many successful years of research and teaching. 2017 Article Nicolai N. Semko (dedicated to 60-th Birthday) // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — англ. 1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/156238 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We warmly congratulate N. N. Semko on his 60th birthday and wish him strong health and many successful years of research and teaching. |
| format |
Article |
| title |
Nicolai N. Semko (dedicated to 60-th Birthday) |
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Nicolai N. Semko (dedicated to 60-th Birthday) Algebra and Discrete Mathematics |
| title_short |
Nicolai N. Semko (dedicated to 60-th Birthday) |
| title_full |
Nicolai N. Semko (dedicated to 60-th Birthday) |
| title_fullStr |
Nicolai N. Semko (dedicated to 60-th Birthday) |
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Nicolai N. Semko (dedicated to 60-th Birthday) |
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nicolai n. semko (dedicated to 60-th birthday) |
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Інститут прикладної математики і механіки НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156238 |
| citation_txt |
Nicolai N. Semko (dedicated to 60-th Birthday) // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — англ. |
| series |
Algebra and Discrete Mathematics |
| first_indexed |
2025-07-14T08:42:02Z |
| last_indexed |
2025-07-14T08:42:02Z |
| _version_ |
1837611113914564608 |
| fulltext |
Nicolai N. Semko
(dedicated to 60th Birthday)
Nicolai N. Semko was born on July 21, 1957 in the village Komar-
gorod, Vinnitsa Region. In 1974, Nicholai Semko became a student at
Kiev State Pedagogical Institute named after Gorky (now Kiev National
Pedagogical Dragomanov University), where Sergei Nikolaevich Chernikov
taught algebra courses. S. N. Chernikov is known not only as a great
mathematician and one of the founders of infinite group theory, but also as
a very influential and caring teacher. It is worthy to mention that among
his numerous students we can list such recognized mathematicians as
D Nicolai N. Semko
V. M. Glushkov, M. I. Kargapolov, V. S. Charin, V. P. Shunkov, Yu. I. Gor-
chakov, D. I. Zaitsev, N. F. Liman, L. A. Kurdachenko, N. F. Kuzennyi,
Ya. P. Sysak, I. Ya. Subbotin, A. P. Petravchuk, and others.
In 1978, Nicolai Semko graduated from the university, and became
a postgraduate student of S. N. Chernikov, having worked before that
as a teacher for a while. He had to interrupt his postgraduate studies,
because he was drafted for two years in the Soviet army by a simple soldier.
Therefore, he completed his postgraduate studies in 1983. In 1983, Nikolai
Semko was awarded his Ph. D. Degree. From 1983 to 1985 he worked as
a senior fellow in NGO “Misksystemotehnika” of Kiev municipality. From
1985 to 1998, he worked as Senior Researcher, Head of Laboratory of
Informatics at Institute of Education, National Academy of Pedagogical
Sciences of Ukraine.
In 1998, in the spa town of Irpin near Kiev, the new university named
Academy of State Tax Service of Ukraine (now the University of the State
Fiscal Service of Ukraine) was organized. From that time, Nicolai Semko
began his work within this Academy. He started his work as an Associate
Professor. He works here up to the present day as a Professor, Chair of
the Mathematics Department.
Nikolai Semko defended his Doctor of Sciences thesis in 2001 at
National Kyiv University.
Nicholai Semko is the author of over 120 research papers, including
4 monographs, he supervised 5 candidates of physical and mathematical
sciences. The first scientific results of N. Semko belong to groups with
restrictions on subgroups which are in one sense or another, close to
normal (almost normal subgroups, approximately normal, subnormal,
permutable subgroups). One of his first results is related to the question
posed by I. I. Eremin. Generalizing the classical result of B. Neumann,
I. I. Eremin proved that groups whose abelian subgroups are almost
normal have a center of finite index. After this, I. I. Eremin began to
consider groups, all of whose infinite subgroups are almost normal. His
main result, here, states that periodic locally solvable groups of this kind
either have a center of finite index, or are Chernikov. N. N. Semko together
Dedicated to 60th Birthday E
with L. A. Kurdachenko and S. S. Levishchenko obtained a complete
description of locally almost solvable groups, all of whose infinite subgroups
are almost normal.
N. F. Sesekin and G. Romalis introduced the groups, all non-abelian
subgroups of which are normal. They called these groups metahamiltonian.
The topics related to metahamiltonian groups have been relevant for a long
time, it remains popular now (thus, some of the previously proven results
on the metahamiltonian groups are reasserted again by some Chinese
algebraists). A complete description of the metahamiltonian groups was
obtained by N. N. Semko together with N. F. Kusennyi and were published
in the cycle of their numerous papers.
If G is a group and S is a family of subgroups of G then we say
that a family S is dense in G, if for any pair of subgroups A, B of G
such that A 6 B and A is not maximal in B there exists a subgroup
D ∈ S, situated between A and B. There can be a variety of situations
(A < D < B, A < D 6 B, A 6 D < B, A 6 D 6 B). A series of articles
by N. F. Kuzennyi and N. N. Semko was dedicated to the study of these
various situations for some natural systems of subgroups S. The results of
these studies were later reflected in a monograph written by N. N. Semko
in co-authorship with N. F. Kuzennyi.
Mathematical interests of N. N. Semko are not limited to the clas-
sical theory of groups, where he continued to work together with his
students. He works in the theory of modules over group rings. He publis-
hed a monograph relating to the modules over Dedekind domain, written
by him in co-authorship with L. A. Kurdachenko and I. Ya. Subbotin.
His work on modules led N.N. Semko to the consideration of some types
of infinite dimensional linear groups, which he investigated together with
the Spanish algebraists. Recently, N. N. Semko investigates the Leibniz
algebras — a quite interesting class of non-associative algebras.
In co-authorship with V. V. Kirichenko and L. A. Kurdachenko,
N. N. Semko published a textbook on algebra and number theory. He also
co-authored four other monographs, the last of which is very specific: it is
a textbook for Ph.D students specializing in infinite group theory.
F Nicolai N. Semko
Nikolai is a very caring person and wonderful friend, who is always re-
ady to extend his help and support to his numerous friends and colleagues.
He is a loving and caring husband, father, and grandfather.
We warmly congratulate him on his 60th birthday and wish him strong
health and many successful years of research and teaching.
O. D. Artemovich, A. Ballester-Bolinches,
M. R. Dixon, F. de Giovanni,
R. I. Grigorchuk, V. V. Kirichenko,
L. A. Kurdachenko, V. S. Monakhov,
J. Otal, M. O. Perestyuk,
A. P. Petravchuk, M. V. Pratsiovytyi,
A. M. Samoilenko, A. N. Skiba,
I. Ya. Subbotin, E. I. Zelmanov,
A. V. Zhuchok, Yu. V. Zhuchok
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