# Dr. Igor Subbotin

Dr. Igor Subbotin earned PhD in Mathematics at Mathematics Institute of National Academy of Sciences of Ukraine. Before joining National University, he taught mathematics at Kiev National University of Technology.

At National University, Dr. Subbotin regularly teaches different mathematics classes and supervises mathematics programs.

Dr. Subbotin•s main area of research is algebra. He intensively investigated infinite and finite groups defined by prescribed properties of important families of subgroups and quotient groups, generalized normal subgroups and their influence on the structure of a group, infinite dimensional linear group, and others. He has had the privilege to collaborate with several world-class mathematicians from different countries, including professors L.Kurdachenko, M. Dixon, J. Otal, N. Kuzennyi, V. Kirichenko, P. Shymyatskii, N. Semko, A. Russo, G. Vinchenzi, L. Kazarin, Z. Duan, and others. His list of publications includes more than 100 articles in algebra published in major mathematics journals in many countries including USA, Germany, Great Britain, Italy, Spain, Ukraine, Russia, China, Brazil, Hungary, Czech Republic and Turkey. He also authored more than 50 articles in mathematics education dedicated mostly to theoretical base of some topics of high school and college mathematics.

Among his publications there are the following books:

M. R. Dixon, L. A. Kurdachenko, I. Ya. Subbotin. Ranks of Groups: The Tools, Characteristics, and Restrictions. John Willey & Sons, Hoboken, New Jersey, 2017, 328 pages.

L. A. Kurdachenko, A. A. Pupka, N. N. Semko, I. Ya. Subbotin. The Survey on Infinite Groups: a Guide to Some Classical Areas. Institute of Mathematics of National Academy of Sciences, Series: Proceedings of Institute of Mathematics of NAS, v. 103, Kiev, 2016, 175 pages.

M. R. Dixon, L. A. Kurdachenko, I. Ya. Subbotin. An Introduction to Essential Algebraic Structures. John Willey & Sons, Hoboken, New Jersey, 2014, 240 pages.

M. R. Dixon, L. A. Kurdachenko, I. Ya. Subbotin. Algebra and Number Theory: an Integrated Approach. John Willey & Sons, Hoboken, New Jersey, 2010, 536 pages.

V. V. Kirichenko, L. A. Kurdachenko, N. N. Semko, I. Ya. Subbotin (editors), On the Influence of Some Important Types of Subgroups on the Structure of a Group. A collection of survey articles. Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv • 2010, 258 pages.

I. Ya. Subbotin, Guest Editor, Algebra and Discrete Mathematics, special issue # 4 (2009). Ukraine, Lugansk 2009, 209 pages.

L. A. Kurdachenko, N. N. Semko, I. Ya. Subbotin. Insight into Modules over Dedekind Domains, Institute of Mathematics of National Academy of Sciences, Series: Proceedings of Institute of Mathematics of NAS, v. 75, Kiev, 2008, 119 pages.

L. A. Kurdachenko, J. Otal, I. Ya. Subbotin. Artinian Modules over Group Rings, Series: Frontiers in Mathematics, Birkhäuser: Basel, 2007, XII, 247 pages.

L. A. Kurdachenko, J. Otal, I. Ya. Subbotin. Groups With Prescribed Quotient Groups and Associated Module Theory, World Scientific: New Jersey, London, Singapore, Hong Kong, 2002, XII, 255 pages.

L. A. Kurdachenko, J. Otal, I. Ya. Subbotin. Groups with Many Similar Factor-Groups, University of Zaragoza, Spain, 1998, 186 pages.

V. I. Kost•uk, V. N. Kirichkov, I. Ya. Subbotin. Flexible Identification of Systems and Objects: Mathematical Models and Structural Identification. Vyischa Shkola. Kiev, 1987, 90pages.

Recent peer reviewed selected journal articles

L. A. Kurdachenko, J. Otal, I. Ya. Subbotin. Some Remarks about Groups of Finite Special Rank. Advances in Group Theory and Applications. 1 (2016), pp. 55•76

L. A. Kurdachenko, I. Ya. Subbotin, A brief history of an important classical theorem. Adv. Group Theory Appl. , Vol. 2 (2016), 121-124

M. R. Dixon, L. A. Kurdachenko, A. A. Pypka, I. Ya. Subbotin,

Groups satisfying certain rank conditions, Algebra and Discrete Mathematics, Volume 22 (2016). Number 2, pp. 184•200

Leonid A. Kurdachenko, Nikolai N. Semko, and Igor Ya. Subbotin, The Leibniz algebras whose subalgebras are ideals. Open Math. (2017) 15: 92•100

V. A. Chupordia, L. A. Kurdachenko, I. Ya. Subbotin. On some •minimal• Leibniz algebras. Journal of Algebra and Its Applications, Vol. 16, No. 5 (2017) 1750082 (16 pages), DOI: 10. 1142/S0219498817500827

L. A. Kurdachenko, I. Ya. Subbotin, On the relationships between the factors

of upper and lower central series in groups and other algebraic structures. Note di Matematica 36 (2016) suppl. 1, 35-50.

L. A. Kurdachenko, I. Ya. Subbotin, The influence of arrangement of subgroups

on the group structure. Note di Matematica 36 (2016) suppl. 1, 51-63.

L. A. Kurdachenko, I. Ya. Subbotin, A note on residuals in groups with quasicentral abelian normal subgroups. Serdica Math. J. 42 (2016), 325•334

Kurdachenko, L. A.; Subbotin, I. Ya. A brief history of an important classical theorem. Adv. Group Theory Appl. 2 (2016), 121•124. 01A60 (01A55 20-03)

Vladimir V. Kirichenko, Leonid A. Kurdachenko, Aleksandr A. Pypka, Igor Ya. Subbotin, Some aspects of Leibniz algebra theory . Algebra and Discrete Mathematics Vol 24, No 1 (2017), 1-33

Martyn R. Dixon, Leonid A. Kurdachenko, and Igor Ya. Subbotin. On the relationships between the factors of the upper and lower central series in some non-periodic groups. International Journal of Group Theory, 7 (March 2018) 1, 37-50

Leonid A. Kurdachenko, Igor Ya. Subbotin, Viktoriia S. Yashchuk. Lattice rings: An interpretation of L-fuzzy rings as habitual algebraic structures. Algebra and Discrete Mathematics, Volume 24 (2017). Number 2, pp. 94•116.

Leonid A. Kurdachenko, Igor Ya. Subbotin, On some infinite dimensional linear groups and the structure of related modules. Infinite Group Theory. From the Past to the Future. Paul Baginski, Benjamin Fine, Antony Gaglione (editors). WorldScientific, 2018, 185-196.

Leonid A. Kurdachenko, Aleksandr A. Pypka, Igor Ya. Subbotin. On new analogs of some classical group theoretical results in Lie rings. Infinite Group Theory. From the Past to the Future. Paul Baginski, Benjamin Fine, Antony Gaglione (editors). WorldScientific, 2018, 197-214.

Leonid A. Kurdachenko, Patrizia Longobardi, Mercede Maj, and Igor Ya. Subbotin, Groups with finitely many isomorphic classes of non-abelian subgroups, J. Algebra 507 (2018) 439•466.

L.A. Kurdachenko, I.Ya. Subbotin, N.N. Semko, From Groups to Leibniz Algebras:

Common Approaches, Parallel Results. Advances in Group Theory and Applications, 5 (2018), pp. 1•31.

## Info

Dr. Igor Subbotin

College of Letters and Sciences

Mathematics & Natural Sciences