Conferences (with talk): Malcev meeting (Russia, Novosibirsk 2007–2011), Geometric and Asymptotic group Theory with Application 2009 (USA, Hoboken).
Workshops (with talk): "Makanin–Razborov Algorithm" (Italy, Alagna, 2008), "New Algebraic-Logic Methods in Solutions for Systems of Equations in Algebraic Structures" (Russia, Omsk, 2009).
Main publications:
Shevlyakov A. N., “Commutative Idempotent Semigroups at the Service of Universal Algebraic Geometry”, Southeast Asian Bulletin of Mathematics, 35 (2011), 111–136
A. N. Shevlyakov, “\large Equationally Noetherian varieties of semigroups and B. Plotkin's problem”, Sib. elektron. matem. izv., 20:2 (2023), 724–734;
2022
2.
A. Shevlyakov, “Direct powers of algebraic structures and equations”, PDM, 2022, no. 58, 31–39;
2021
3.
A. Shevlyakov A. Nikitin, “On radicals over strict partial order sets”, J. Phys.: Conf. Ser., 1791 (2021), 012080 , 6 pp.
4.
A. Shevlyakov, “On direct product of algebraic sets over groups”, J. Phys.: Conf. Ser., 1791 (2021), 012086 , 6 pp.
5.
A. Shevlyakov, “Equations over direct powers of algebraic structures in relational languages”, PDM, 2021, no. 53, 5–11;
2020
6.
A.N. Shevlyakov, “Weakly equationally Noetherian trees II”, Journal of Physics: Conference Series, 1441 (2020), 012169 , 6 pp.
7.
A.Yu. Nikitin, A.N. Shevlyakov, “On radicals of system of equations over linear strict posets”, Journal of Physics: Conference Series, 1441 (2020), 012156 , 7 pp.
2021
8.
A. N. Shevlyakov, “Finite submonoids of free left regular bands with unit”, Algebra and Logic, 59:6 (2021), 456–470
9.
A. N. Shevlyakov, “On elementary and geometric equivalence of equational co-domains”, J. Math. Sci., 257:6 (2021), 902–908
2019
10.
A. Shevlyakov, “On group automorphisms in universal algebraic geometry”, Groups, Complexity, Cryptology, 11:2 (2019), 115–122
11.
A. Shevlyakov, “Weakly equationally Noetherian trees”, J. Phys.: Conf. Ser., 1210 (2019), 012127 , 8 pp.
2018
12.
A.N. Shevlyakov, M.A.Vakhrameev, “On equations over Brandt semigroups”, Journal of Phisics, 1050 (2018), 012079 , 4 pp.
A. N. Shevlyakov, “On irreducible algebraic sets over linearly ordered semilattices II”, PDM, 2017, no. 38, 49–56
19.
A. Shevlyakov, M. Shahryary, “Direct products, varieties, and compactness conditions”, Groups Complexity Cryptology, 9:2 (2017), 159–166
2016
20.
A. N. Shevlyakov, “Combining solutions for systems equations in semigroups with finite ideal”, Algebra and Logic, 55:1 (2016), 58–71
21.
A. N. Shevlyakov, “Equivalent equations in semilattices”, Sib. Èlektron. Mat. Izv., 13 (2016), 478–490
22.
A. N. Shevlyakov, “Universal algebraic geometry with relation $\not=$”, Algebra and Logic, 55:4 (2016), 330–339
23.
A. N. Shevlyakov, “On irreducible algebraic sets over linearly ordered semilattices”, Groups, Complexity, Cryptology, 8:2 (2016), 187-196
2015
24.
A. N. Shevlyakov, “Elements of algebraic geometry over a free semilattice”, Algebra and Logic, 54:3 (2015), 258–271
2014
25.
A. N. Shevlyakov, “Unifying solutions to systems of equations in finite simple semigroups”, Algebra and Logic, 53:1 (2014), 70–83
26.
A. N. Shelyakov, “Ob ob'edinenii reshenii sistem uravnenii v kliffordovykh polugruppakh”, Vestnik Omskogo universiteta, 3 (2014), 18–21
2015
27.
A. N. Shevlyakov, “Equations over completely simple semigroups”, Algebra and Logic, 53:6 (2015), 520–524
2013
28.
A.N. Shevlyakov, “Ob ob'edinenii reshenii sistem uravnenii v polugruppovom yazyke bez konstant”, Vestnik omskogo gosudarstvennogo universiteta, 4 (2013), 60-62
29.
A.N. Shevlyakov, “Ob ob'edinenii reshenii sistem uravnenii v inversnykh polugruppakh”, Vestnik omskogo gosudarstvennogo universiteta, 4 (2013), 63–66
2015
30.
A. N. Shevlyakov, “Algebraic geometry over Boolean algebras in the language with constants”, J. Math. Sci., 206:6 (2015), 742–757
2011
31.
A. N. Shevlyakov, “Nullstellensatz i monoid naturalnykh chisel”, Vestnik Omskogo universiteta, 2 (2011), 49-55
32.
Artem N. Shevlyakov, “Commutative Idempotent Semigroups at the Service of Universal Algebraic Geometry”, Southeast Asian Bulletin of Mathematics, 35 (2011), 111-136
33.
Shevlyakov A. N., “Algebraic geometry over linear ordered semilattices”, Algebra and Model Theory 8, ISBN 978-5-7782-1819-2, eds. A.G. Pinus, K.N. Ponimarev, S.V. Sudoplatov and E.I. Timoshenko, Novosibirsk State Technical University, Novosibirsk, 2011, 116–131
Artem N. Shevlyakov, “Algebraic geometry over the additive monoid of natural numbers: The classifcation of coordinate monoids 2(1), p. 91-111,2010”, Groups, Complexity and Cryptology, 2:1 (2010), 91–111
36.
Pavel V. Morar, Artem N. Shevlyakov, “Algebraic Geometry over the Additive Monoid of Natural Numbers: Systems of Coefficient Free Equations”, Combinatorial and Geometric Group Theory: Dortmund and Carleton Conferences, Birkhäuser, 2010, 261–278
37.
A. Shevlyakov, “Algebraic geometry over the monoid of natural numbers. Irreducible algebraic sets”, Proceedings of the Institute of Mathematics and Mechanics (Trudy Instituta Matematiki I Mekhaniki), 16:2 (2010), 258-269
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
2023
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