group theory, model theory, combinatorics, limit systems
Main publications:
V. N. Remeslennikov, A. V. Treier, “Structure of the automorphism group for partially commutative class two nilpotent groups”, Algebra and Logic, 49:1 (2010), 43–67
A. A. Mishchenko, A. V. Treyer, “Commuting graphs for partially commutative nilpotent $\mathbb Q$-groups of class $2$”, Sib. Èlektron. Mat. Izv., 4 (2007), 460–481
A. A. Mishchenko, A. V. Treyer, “Commuting graphs for partially commutative nilpotent $\mathbb Q$-groups of class $2$”, Sib. Èlektron. Mat. Izv., 4 (2007), 460–481
2.
Duncan A.J., Remeslennikov V.N., Treier A.V., “A survey of Free Partially Commutative Groups”, 13th International Scientific and Technical Conference on Applied Mechanics and Systems Dynamics, AMSD 2019 (Omsk5 November 2019 do 7 November 2019), Journal of Physics: Conference Series, 1441:1 (2020), 012136
V. N. Remeslennikov, A. V. Treier, “Structure of the automorphism group for partially commutative class two nilpotent groups”, Algebra and Logic, 49:1 (2010), 43–67
4.
A. A. Mishchenko, V. N. Remeslennikov, A. V. Treier, “Universal invariants for classes of Abelian groups”, Algebra and Logic, 56:2 (2017), 116–132
5.
A. A. Mishchenko, A. V. Treier, “Algorithmic decidability of the universal equivalence problem for partially commutative nilpotent groups”, Algebra and Logic, 52:2 (2013), 147–158
6.
A. A. Mishchenko, V. N. Remeslennikov, A. V. Treier, “Generic theories for series of finite Abelian groups”, Algebra and Logic, 53:6 (2015), 471–480
7.
Treier A., “Equational noethericity for graphs and hypergraphs”, 14th International Scientific and Technical Conference on Applied Mechanics and Systems Dynamics, AMSD 2020 (Omsk10 November 2020 do 12 November), IoP Publishing, 2021, 012088
8.
Buchinskiy I.M., Buchinskiy I.M., Treier A.V., “On first order definability of equationally noetherian graphs”, Journal of Physics: Conference Series, 5th International Scientific and Technical Conference on Mechanical Science and Technology Update, MSTU 2021 (Omsk16 March 2021 do 17 March 2021), 1901, IoP Publishing, 2021, 012032
9.
Daniyarova E.Y.,Mishchenko A.A.,Remeslennikov V.N.,Treier A.V., “On algebraic-geometric and universal theories of Abelian groups”, Fundamental and Applied Mathematics, 23:2 (2020), 101-145
10.
Remeslennikov, Vladimir N.; Treier, AV, “Elementary classes of graphs in a language without equality predicate”, Journal of Physics Conference Series, 4th International Scientific and Technical Conference on Mechanical Science and Technology Update, MSTU 2020 (Omsk17 March 2020 do 19 March 2020), 1546, IoP Publishing, 2020, 012099
11.
Treier A., “Universal graph powerset”, Journal of Physics: Conference Series, 13th International Scientific and Technical Conference on Applied Mechanics and Systems Dynamics, AMSD 2019 (Omsk5 November 2019 do 7 November 2019), IoP Publishing, 2020, 012173
12.
A. A. Mishchenko, V. N. Remeslennikov, A. V. Treyer, “Canonical and algebraically closed groups in universal classes of Abelian groups”, Algebra and Logic, 58:3 (2019), 232–243
13.
Remeslennikov, Vladimir N.; Treier, AV, “Universal classes in the category of simple graphs”, Mechanical Science and Technology Update, MSTU 2019 (Omsk23 April 2019 do 24 April 2019), 022099, IoP Publishing, 2019
14.
F. A. Dudkin, A. V. Treyer, “Knapsack problem for Baumslag–Solitar groups”, Sib. J. Pure and Appl. Math., 18:4 (2018), 43–55
15.
A. Mishchenko, V. Remeslennikov, A. Treier, “Canonical and existential groups in universal classes of Abelian groups”, DOKLADY MATHEMATICS, 93:2 (2016), 175-178 (to appear)
16.
A. V. Treier, “O vypolnimosti grafovykh formul na chastichno kommutativnykh nilpotentnykh gruppakh”, Vestnik Omskogo Gosudarstvennogo Universiteta. Seriya matematika, informatika, 72:2 (2014), 42-46http://elib.omsu.ru/file.php?id=1403585472340911
17.
A. A. Mischenko, A. V. Treier, “O vypolnimosti grafovykh formul na chastichno kommutativnoi dvustupenno nilpotentnoi gruppe.”, Algebra i teoriya modelei, 8, sbornik trudov pod red. A.G.Pinusa i dr. izd-vo NGTU, Novosibirsk, (2011), 48-59
18.
A. V. Treyer, “Two Results for Automorphism Group of Partially Commutative Class Two Nilpotent Groups”, Vestnik, Quart. J. of Novosibirsk State Univ., Series: Math., mech. and informatics, 10:2 (2010), 85–97
19.
A. A. Mischenko, A. V. Treier, “Struktura tsentralizatorov dlya chastichno kommutativnoi dvustupenno nilpotentnoi $\mathbb{Q}$-gruppy”, Vestnik Omskogo Universiteta, 2007, Spetsialnyi vypusk, 98-102
20.
A. A. Mischenko, A. V. Treier, “Vypolnimost E-formul na chastichno kommutativnykh dvustupenno nilpotentnykh $\mathbb{Q}$-gruppakh”, Vestnik Omskogo Universiteta. Seriya matematika, 2006, no. 1, 15-17
21.
I. M. Buchinskiy, A. V. Treyer, “On graphs that are not equationally Noetherian”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 580–587
Presentations in Math-Net.Ru
1.
Новые проблемы алгебры и логики. Юбилейное 900-е заседание семинара V. N. Remeslennikov, A. N. Rybalov, A. N. Shevlyakov, D. V. Solomatin, L. M. Martynov, G. A. Noskov, A. V. Treyer, A. N. Zubkov, V. P. Il'ev, V. M. Gichev Omsk Algebraic Seminar November 12, 2015 16:00
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