Igor Ya. Subbotin was born in Kiev on March 25, 1950. In 1972, he graduated with highest honors from Kiev Pedagogical Institute (now Kiev National Pedagogical University), and in 1978 he was awarded his PhD at Mathematics Institute of the National Academy of Science of Ukraine for a thesis in group theory. In 1980, he became an Associate Professor of the Department of Higher Mathematics at Kiev Polytechnic Institute (now Kiev National Technology University). In 1993, he began his teaching and research career at National University, California, USA, where he has been working since that time. He is now a professor and Lead Faculty for mathematics programs at that school. His list of publications includes more than 90 articles and books in algebra and more than 30 articles in mathematics education dedicated mostly to theoretical base of some topics of high school and college mathematics. His main area of expertise is group theory.
Main publications:
1. N.F. Kuzennyi and I.Ya. Subbotin,
Groups in which all subgroups are pronormal,
Ukr. Mat. Zh. 39 (1987) 325-329;
English translation: Ukr. Math. J. 39 (1987) 251-254
2. N.F. Kuzennyi and I.Ya. Subbotin,
Groups with pronormal primary subgroups,
Ukr. Mat. Zh. 41 (1989) 323-327;
English translation: Ukr. Math. J. 41 (1989) 286-289.
3.N.F.Kuzennyi and I.Ya. Subbotin,
A new characterization of locally nilpotent IH-groups,Ukr. Mat. Zh. 40 (1988) 322-326;
English translation: Ukr. Math. J. 40 (1988) 274-277.
4.L.A. Kurdachenko, J. Otal, I. Ya. Subbotin
On some criteria of nilpotency,
Commun. Algebra, 30 (2002) 8, 3755-3776.
5. L. A. Kurdachenko, J. Otal, I. Ya. Subbotin,
Baer-like decompositions of modules,
Illinois Journal of Mathematics, v 47 (2003), issues 1-2, 329-343
6. 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.
7. 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, A. A. Pypka, I. Ya. Subbotin, “On extension of classical Baer results to Poisson algebras”, Algebra Discrete Math., 31:1 (2021), 84–108
2020
2.
L. A. Kurdachenko, I. Ya. Subbotin, T. V. Velychko, “On the non-periodic groups, whose subgroups of infinite special rank are transitively normal”, Algebra Discrete Math., 29:1 (2020), 74–84
M. R. Dixon, L. A. Kurdachenko, N. N. Semko, I. Ya. Subbotin, “On some topics in the theory of infinite dimensional linear groups”, Algebra Discrete Math., 29:1 (2020), 1–32
2018
4.
Leonid A. Kurdachenko, Nikolaj N. Semko, Igor Ya. Subbotin, “On the anticommutativity in Leibniz algebras”, Algebra Discrete Math., 26:1 (2018), 97–109
Leonid A. Kurdachenko, Igor Ya. Subbotin, Viktoriia S. Yashchuk, “Lattice rings: an interpretation of $L$-fuzzy rings as habitual algebraic structures”, Algebra Discrete Math., 24:2 (2017), 274–296
6.
Vladimir V. Kirichenko, Leonid A. Kurdachenko, Aleksandr A. Pypka, Igor Ya. Subbotin, “Some aspects of Leibniz algebra theory”, Algebra Discrete Math., 24:1 (2017), 1–33
O. D. Artemovych, 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, “Nicolai N. Semko (dedicated to 60-th Birthday)”, Algebra Discrete Math., 24:1 (2017), C–F
8.
V. Artamonov, O. Artemovych, Yu. Bahturin, T. Banakh, L. Bartholdi, O. Bezushchak, Ie. Bondarenko, T. Ceccherini-Silberstein, Yu. Drozd, V. Futorny, F. de Giovanni, R. Grigorchuk, W. Holubowski, S. Ivanov, A. Kashu, O. Kharlampovich, E. Khukhro, V. Kirichenko, L. Kurdachenko, Ya. Lavrenyuk, O. Macedońska, A. Myasnikov, T. Nagnibeda, V. Nekrashevych, A. Oliynyk, B. Oliynyk, A. Olshanskii, M. Perestyuk, A. Petravchuk, I. Protasov, N. Romanovskii, D. Savchuk, M. Sapir, M. Semko, I. Shestakov, S. Sidki, B. Steinberg, I. Subbotin, Ya. Sysak, V. Vyshensky, E. Zelmanov, A. Zhuchok, Yu. Zhuchok, “Vitaliy Sushchansky (11.11.1946 – 29.10.2016)”, Algebra Discrete Math., 23:2 (2017), C–F
2016
9.
Martyn R. Dixon, Leonid A. Kurdachenko, Aleksandr A. Pypka, Igor Ya. Subbotin, “Groups satisfying certain rank conditions”, Algebra Discrete Math., 22:2 (2016), 184–200
V. V. Kirichenko, L. A. Kurdachenko, A. A. Pypka, I. Ya. Subbotin, “On Baer–Shemetkov's decomposition in modules and related topics”, Algebra Discrete Math., 15:2 (2013), 161–173
L. A. Kurdachenko, I. Ya. Subbotin, N. A. Turbay, “On influence of formation theory concepts and ideology on infinite group theory”, Tr. Inst. Mat., 21:1 (2013), 69–77
2012
13.
L. A. Kurdachenko, N. N. Semko (Jr.), I. Ya. Subbotin, “Groups with many pronormal and transitively normal subgroups”, Algebra Discrete Math., 14:1 (2012), 84–106
M. R. Dixon, V. V. Kirichenko, L. A. Kurdachenko, J. Otal, N. N. Semko, L. A. Shemetkov, I. Ya. Subbotin, “S. N. Chernikov and the development of infinite group theory”, Algebra Discrete Math., 13:2 (2012), 169–208
2011
15.
Vladimir V. Kirichenko, Leonid A. Kurdachenko, Igor Ya. Subbotin, “Some related to pronormality subgroup families and the properties of a group”, Algebra Discrete Math., 11:1 (2011), 75–108
I. Ya. Subbotin, “On arrangement of subgroups in groups and related topics: some recent developments”, Algebra Discrete Math., 2009, no. 4, 185–207
17.
Martyn R. Dixon, Igor Ya. Subbotin, “Groups with finiteness conditions on some subgroup systems: a contemporary stage”, Algebra Discrete Math., 2009, no. 4, 29–54
L. A. Kurdachenko, I. Ya. Subbotin, V. A. Сhupordya, “On some near to nilpotent groups”, Fundam. Prikl. Mat., 14:6 (2008), 121–134; J. Math. Sci., 164:1 (2010), 82–90
2007
19.
M. R. Dixon, L. A. Kurdachenko, I. Ya. Subbotin, “On various rank conditions in infinite groups”, Algebra Discrete Math., 2007, no. 4, 23–44
I. Ya. Subbotin, N. F. Kuzenniĭ, “Locally solvable groups in which all infinite subgroups are pronormal”, Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 11, 77–79; Soviet Math. (Iz. VUZ), 32:11 (1988), 126–131
I. Ya. Subbotin, N. F. Kuzenniĭ, “Solvable groups with a quasicentralizer condition for nonabelian normal subgroups”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 10, 68–70; Soviet Math. (Iz. VUZ), 31:10 (1987), 91–94
1984
24.
I. Ya. Subbotin, “The structure of nonperiodic groups with the invariator condition for normal subgroups”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 11, 40–45; Soviet Math. (Iz. VUZ), 28:11 (1984), 49–55
1983
25.
I. Ya. Subbotin, “Unsolvable periodic groups with invariator condition for normal subgroups”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 9, 56–64; Soviet Math. (Iz. VUZ), 27:9 (1983), 63–73
1972
26.
I. Ya. Subbotin, “Finite groups in which each subgroup of the commutant is invariant”, Mat. Zametki, 12:6 (1972), 739–746; Math. Notes, 12:6 (1972), 882–885
O. D. Artemovych, V. M. Bondarenko, M. G. Drushlyak, R. I. Grigorchuk, L. A. Kurdachenko, T. D. Lukashova, V. S. Monakhov, A. S. Oliynyk, B. V. Oliynyk, A. P. Petravchuk, M. V. Pratsiovytyi, A. A. Pypka, N. N. Semko, A. N. Skiba, I. Ya. Subbotin, Ya. P. Sysak, R. A. Zatorskii, A. V. Zhuchok, Yu. V. Zhuchok, “Fedir Mykolayovych Lyman (22.02.1941 – 13.06.2020)”, Algebra Discrete Math., 30:1 (2020), C–E
28.
O. D. Artemovych, A. Ballester-Bolinches, V. A. Bovdi, M. R. Dixon, F. de Giovanni, R. I. Grigorchuk, W. Holubowski, F. M. Lyman, P. Longobardi, M. Maj, V. S. Monakhov, A. S. Oliynyk, B. V. Oliynyk, J. Otal, M. A. Perestyuk, A. P. Petravchuk, M. V. Pratsiovytyi, A. A. Pypka, A. Russo, A. M. Samoilenko, N. N. Semko, A. N. Skiba, I. Ya. Subbotin, G. Vincenzi, R. A. Zatorskii, E. I. Zel'manov, A. V. Zhuchok, Yu. V. Zhuchok, “Leonid A. Kurdachenko (dedicated to 70th Birthday)”, Algebra Discrete Math., 29:1 (2020), C–H
2019
29.
V. V. Bavula, O. O. Bezushchak, V. M. Bondarenko, M. A. Dokuchaev, Yu. A. Drozd, V. M. Futorny, O. G. Ganyushkin, R. I. Grigorchuk, N. M. Gubareni, M. F. Horodnii, A. I. Kashu, M. M. Kleiner, L. A. Kurdachenko, Ya. Lavrenyuk, F. M. Lyman, V. V. Lyubashenko, V. S. Mazorchuk, V. S. Monakhov, V. V. Nekrashevych, A. S. Oliynyk, B. V. Oliynyk, A. Yu. Olshanskii, A. P. Petravchuk, V. M. Petrychkovych, I. V. Protasov, M. M. Semko, V. V. Sergeichuk, I. P. Shestakov, A. N. Skiba, I. Y. Subbotin, Ya. P. Sysak, V. A. Ustimenko, P. D. Varbanets, N. T. Vorob'ev, B. V. Zabavskyi, E. I. Zelmanov, A. V. Zhuchok, Yu. V. Zhuchok, V. N. Zhuravlev, “Volodymyr Kyrychenko (to the 75th anniversary)”, Algebra Discrete Math., 27:1 (2019), C–E
O. O. Bezushchak, Yu. V. Bodnarchuk, V. M. Bondarenko, Ye. V. Bondarenko, N. S. Chernikov, Yu. A. Drozd, N. S. Golovashchuk, V. V. Kirichenko, L. A. Kurdachenko, Ya. V. Lavrenyuk, F. M. Lyman, V. V. Lyubashenko, V. S. Monakhov, A. S. Oliynyk, B. V. Oliynyk, S. A. Ovsienko, A. P. Petravchuk, M. V. Selkin, V. N. Semenchuk, M. M. Semko, A. N. Skiba, I. Ya. Subbotin, V. I. Sushchanskiy, Ya. P. Sysak, A. F. Vasil'ev, N. T. Vorob'ev, “Leonid Aleksandrovich Shemetkov (3.07.1937–24.03.2013)”, Algebra Discrete Math., 15:2 (2013), C–D
32.
Yu. Drozd, O. Bezushchak, V. Kirichenko, M. Komarnitsky, L. Kurdachenko, Yu. Lavrenyuk, V. Lyubashenko, V. Nekrashevich, B. Novikov, A. Oliynyk, B. Oliynyk, A. Petravchuk, I. Subbotin, V. Sushchansky, E. Zelmanov, A. Zhuchok, Yu. Zhuchok, “Rostislav I. Grigorchuk. To the 60th anniversary”, Algebra Discrete Math., 15:1 (2013), C–F
2012
33.
Yu. A. Drozd, V. V. Kirichenko, L. A. Kurdachenko, F. M. Lyman, M. O. Perestyuk, A. P. Petravchuk, A. M. Samoilenko, M. M. Semko, L. A. Shemetkov, I. Ya. Subbotin, V. I. Sushchansky, V. V. Sharko, “To the 100$^{\rm{th}}$ anniversary of the birth of Sergei Nikolaevich Chernikov”, Algebra Discrete Math., 13:2 (2012), C–F
34.
Vladimir V. Kirichenko, Leonid A. Kurdachenko, Javier Otal, Igor Ya. Subbotin, “On the contribution of D.I. Zaitsev to the Theory of Infinite Groups”, Algebra Discrete Math., 13:1 (2012), 59–91
Yu. A. Drozd, V. V. Kirichenko, L. A. Kurdachenko, F. M. Lyman, M. O. Perestyuk, A. M. Samoilenko, M. M. Semko, I. Ya. Subbotin, V. I. Sushchansky, V. V. Sharko, “To the memory of D. I. Zaitsev”, Algebra Discrete Math., 13:1 (2012), C–D
2009
36.
A. Ballester-Bolinches, R. I. Grigorchuk, M. R. Dixon, Yu. A. Drozd, V. V. Kirichenko, J. Otal, M. A. Perestyuk, A. P. Petravchuk, N. V. Polyakov, A. M. Samoilenko, N. N. Semko, V. V. Sharko, L. A. Shemetkov, A. N. Skiba, I. Ya. Subbotin, V. I. Sushchansky, E. I. Zel'manov, “Leonid A. Kurdachenko: to the 60th birthday”, Algebra Discrete Math., 2009, no. 4, E–H
37.
V. V. Kirichenko, L. A. Kurdachenko, N. N. Semko, I. Ya. Subbotin, “Nikolai F. Kuzennyi: to his sixties birthday”, Algebra Discrete Math., 2009, no. 1, E–H
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