# Dr. Igor Ya Subbotin

College of Letters and SciencesMathematics and Natural Sciences

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 90 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 30 articles in mathematics education dedicated mostly to theoretical base of some topics of high school and college mathematics.

**Selected publications**

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 p.

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 p.

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 p.

Journal Articles

L.A. Kurdachenko, A. Russo, I.Ya. Subbotin, and G. Vincenzi, Infinite groups with short balanced chains of subgroups. Journal of Algebra 319 (2008) issue 9, pp. 3901-3917.

L.A. Kurdachenko, L.A., Otal, J., Subbotin, I.Ya. On influence of contranormal subgroups on the structure of infinite Groups. Communications in Algebra, Volume 37 (2009) Issue 12, 4542 – 4557

M. R. Dixon, I. Ya. Subbotin, Groups with finiteness conditions on some subgroup systems: a contemporary stage. Algebra and Discrete Mathematics, 4 (2009), 29-54

I. Ya. Subbotin, On arrangement of subgroups in groups and related topics: some recent developments. Algebra and Discrete Mathematics, 4 (2009), 185 -207.

L. A. Kurdachenko, A. V. Sadovnichenko and I. Ya. Subbotin, Infinite dimensional linear groups with many G-invariant subspaces, Central European Journal of Mathematics, 8 (2010) n 2, 261-265

L. A. Kurdachenko, A. A. Pypka, I. Ya. Subbotin, On some properties of pronormal subgroups, Cent. Eur. J. Math. 8(5) 2010, 840-845

L.A. Kurdachenko, J. Otal, I. Ya. Subbotin, Some criteria for existence of supplements to normal subgroups and their applications. International Journal of Algebra and Computation, Vol. 20, No. 5 (2010), 689–719

L. A. Kurdachenko, A. V. Sadovnichenko, I. Ya. Subbotin, Infinite dimensional linear groups with a large family of G-invariant subspaces. Comment. Math. Univ. Carolin. 51,4 (2010) 551-558

L.A. Kurdachenko, I.Ya. Subbotin, On Groups whose contranormal subgroups are normally complemented. Serdica Math. J. 37 (2011), 163–172.

L. A. Kurdachenko, A. A. Pypka, I. Ya. Subbotin, On some generalizationsof normal subgroups. Biblioteca de la Revista Matem´atica Iberoamericana, Proceedings “Encuentro en Teor´ia de grupos y sus aplicaciones” (Zaragoza, 2011), 185–202.

L. A. Kurdachenko, I. Ya. Subbotin, T. I. Ermolkevich, On non-periodic groups whose finitely generated subgroups are either permutable or pronormal. Mathematica Bohemica, 138 (2013), No 1, 61-74.

L. A. Kurdachenko, J. Otal, I. Ya. Subbotin, On permutable fuzzy subgroups. Serdica Math. J., 39 (2013), 83–102

L. A. Kurdachenko, I. Ya. Subbotin, The groups whose subgroups are almost ascendant. Asian-European Journal of Mathematics, Vol. 6, No. 1 (2013) 1350014 (8 pages)

L. A. Kurdachenko, J. Otal and I. Ya. Subbotin, On a generalization of Baer Theorem, Proc. Amer. Math. Soc. 141 (2013), 2597-2602

V. V. Kirichenko, L. A. Kurdachenko, A. A. Pypka, I. Ya. Subbotin. On Baer-Shemetkov’s decomposition in modules and related topics. Algebra and Discrete Mathematics, 15 (2013). Number 2. pp. 161 – 173

A. Kurdachenko, I. Ya. Subbotin, V. A. Chupordya, On the structure of some modules over generalized soluble groups. Turk. J. Math., 38, (2014), 52-59.

L. A. Kurdachenko, J. Otal and I. Ya. Subbotin. On the structure of some Noetherian modules over group rings. International Journal of Algebra and Computation, Vol. 24, No. 2 (2014) 233–249.

L.A. Kurdachenko, I.Ya. Subbotin and K.O. Grin, On Some Properties of Normal and Subnormal Fuzzy Subgroups, Southeast Asian Bulletin of Mathematics. Vol. 38(3) (2014) page: 401-421

L. A. Kurdachenko, I. Ya. Subbotin, V. A. Chupordya, On Modules with Few Minimax Cocentralizers, Communications in Algebra, 43 (2015) 871–885

L. A. Kurdachenko, A. A. Pypka, I. Ya. Subbotin, On some relations between the factors of the upper and lower central series in Lie algebras. Serdica Math. J. 41 (2015), 293–306

### Contact Details

College of Letters and Sciences

isubboti@nu.edu

(310) 662-2150