Algebraicheski zamknutoe telo Makar-Limanova. Algebra i logika, 39 (2000), # 6, 662–692; English translation: Algebra Logic, 39 (2000), no. 6, 378–395.
Bazisy Grebnera i Grebnera–Shirshova v algebre i konformnye algebry.
Fund. prikl. mat., 6 (2000), # 3, 669–706 (sovm. s L. A. Bokutem, Yu. Fongom i V.-F. Ke).
The Makar-Limanov's construction of algebraically closed skew field via Mal'cev–Neumann series.
Krob, Daniel (ed.) et al.,
Formal power series and algebraic combinatorics.
Proceedings of the 12th international conference,
FPSAC'00, Moscow, Russia, June 26–30, 2000.
Berlin: Springer. 454–460 (2000).
Bazisy Grebnera–Shirshova: ot vozniknoveniya do nashikh dnei, Zap. nauch. sem. POMI, 272 (2000), 26–67 (sovm. s L. A. Bokut);
English translation: J. Math. Sci., 116 (2003), no. 1, 2894–2916.
O razlichnykh opredeleniyakh algebraicheski zamknutykh tel.
Algebra i logika, 40 (2001), # 4, 219–230;
English translation: Algebra Logis, 40 (2001), no. 4, 396–414.
Universalnye predstavleniya nekotorykh konformnykh superalgebr Li, Vestnik NGU, ser. Matematika, mekhanika i informatika, 2 (2002), # 3, 30–45.
Bazisy Grebnera–Shirshova dlya universalnykh obertyvayuschikh konformnykh algebr prostykh konformnykh superalgebr Li serii $W_N$, Algebra i logika, 43 (2004), # 2, 197–219;
English translation: Algebra Logic, 43 (2004), no. 2, 109–122.
Bazisy Grebnera–Shirshova, konformnye algebry i psevdoalgebry,
Sovremennaya matematika i ee prilozheniya, # 13, Algebra (2004), 92–130 (sovm. s L. A. Bokut);
English translation: J. Math. Sci., 131 (2005), no. 5, 5962–6003.
Simple associative conformal algebras of linear growth,
J. Algebra, 295 (2006), no. 1, 247–268.
Pavel Kolesnikov, Farukh Mashurov, Bauyrzhan Sartayev, “On Pre-Novikov Algebras and Derived Zinbiel Variety”, SIGMA, 20 (2024), 017, 15 pp.
2023
2.
V. N. Zhelyabin, P. S. Kolesnikov, “Dual coalgebras of Jacobian $n$-Lie algebras over polynomial rings”, Sibirsk. Mat. Zh., 64:5 (2023), 992–1008
3.
P. S. Kolesnikov, A. A. Nesterenko, “Conformal envelopes of Novikov–Poisson algebras”, Sibirsk. Mat. Zh., 64:3 (2023), 546–561
2022
4.
V. N. Zhelyabin, P. S. Kolesnikov, “Zhelyabin, V.N., Kolesnikov, P.S. Dual coalgebra of the differential polinomial algebra in one variable and related coalgebras”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 792–803
H. Alhussein, P. S. Kolesnikov, “The anick complex and the hochschild cohomology of the manturov (2,3)-group”, Sibirsk. Mat. Zh., 61:1 (2020), 17–28; Siberian Math. J., 61:1 (2020), 11–20
P. S. Kolesnikov, A. S. Panasenko, “Novikov commutator algebras are special”, Algebra Logika, 58:6 (2019), 804–807; Algebra and Logic, 58:6 (2020), 538–539
P. S. Kolesnikov, R. A. Kozlov, “Molien–Wedderburn theorem for associative conformal algebras with finite faithful representation”, Algebra Logika, 56:5 (2017), 639–641; Algebra and Logic, 56:5 (2017), 427–428
8.
P. S. Kolesnikov, “Self-dual binary quadratic operads”, Sib. Èlektron. Mat. Izv., 14 (2017), 1299–1306
2014
9.
P. S. Kolesnikov, “Homogeneous averaging operators on semisimple Lie algebras”, Algebra Logika, 53:6 (2014), 776–778; Algebra and Logic, 53:6 (2015), 510–511
V. Yu. Gubarev, P. S. Kolesnikov, “$\Gamma$-conformal algebras of finite type for torsion-free group $\Gamma$”, Sib. Èlektron. Mat. Izv., 11 (2014), 759–770
11.
Pavel S. Kolesnikov, Leonid G. Makar-Limanov, Ivan P. Shestakov, “The Freiheitssatz for Generic Poisson Algebras”, SIGMA, 10 (2014), 115, 15 pp.
P. S. Kolesnikov, T. V. Skoraya, “Codimensions growth estimate of the varieties of dialgebras”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, no. 3(114), 56–66
2009
13.
Pavel Kolesnikov, “Simple Finite Jordan Pseudoalgebras”, SIGMA, 5 (2009), 014, 17 pp.
P. S. Kolesnikov, “Gröbner–Shirshov Bases for Universal Enveloping Conformal Algebras of Simple Conformal Lie Superalgebras of Type $W_N$”, Algebra Logika, 43:2 (2004), 197–219; Algebra and Logic, 43:2 (2004), 109–122
L. A. Bokut', Yu. Fong, W. Ke, P. S. Kolesnikov, “Gröbner and Gröbner–Shirshov bases in algebra and conformal algebras”, Fundam. Prikl. Mat., 6:3 (2000), 669–706
L. A. Bokut', P. S. Kolesnikov, “Gróbner–Shirshov bases: from incipiency to nowdays”, Zap. Nauchn. Sem. POMI, 272 (2000), 26–67; J. Math. Sci. (N. Y.), 116:1 (2003), 2894–2916
Yu. L. Ershov, S. S. Goncharov, A. V. Vasil'ev, M. A. Grechkoseeva, P. S. Kolesnikov, N. S. Romanovskii, A. N. Ryaskin, E. I. Khukhro, “Viktor Danilovich Mazurov (on his 80th birthday)”, Algebra Logika, 62:1 (2023), I–V
2022
22.
Yu. L. Ershov, S. S. Goncharov, V. D. Mazurov, V. G. Bardakov, N. V. Bayanova, V. V. Bludov, L. A. Bokut', S. V. Varaksin, A. V. Vasil'ev, E. P. Vdovin, M. A. Grechkoseeva, A. V. Zenkov, P. S. Kolesnikov, L. L. Maksimova, I. A. Mal'tsev, A. S. Morozov, N. A. Peryazev, A. G. Pinus, K. N. Ponomarev, A. M. Popova, V. N. Remeslennikov, V. A. Roman'kov, N. S. Romanovskii, E. I. Timoshenko, V. A. Churkin, I. P. Shestakov, “In memory of Valeriy Matveevich Kopytov”, Algebra Logika, 61:6 (2022), I–IV
2020
23.
L. D. Beklemishev, A. V. Vasil'ev, E. P. Vdovin, S. S. Goncharov, V. V. Kozlov, P. S. Kolesnikov, V. D. Mazurov, Yu. V. Matiyasevich, A. S. Morozov, A. N. Parshin, V. G. Puzarenko, M. V. Schwidefsky, “Yurii Leonidovich Ershov (on his 80th birthday)”, Uspekhi Mat. Nauk, 75:3(453) (2020), 191–194; Russian Math. Surveys, 75:3 (2020), 581–585
2019
24.
Yu. L. Ershov, S. S. Goncharov, V. D. Mazurov, B. S. Baizhanov, B. Sh. Kulpeshov, P. E. Alaev, A. V. Vasil'ev, E. V. Vasil'ev, E. P. Vdovin, V. V. Verbovskii, A. A. Vikent'ev, D. Yu. Vlasov, M. A. Grechkoseeva, V. N. Zhelyabin, P. S. Kolesnikov, V. M. Kopytov, L. L. Maksimova, I. A. Mal'tsev, A. S. Morozov, A. A. Nikitin, E. V. Ovchinnikova, S. P. Odintsov, D. E. Pal'chunov, N. A. Peryazev, A. G. Pinus, L. N. Pobedin, A. P. Pozhidaev, B. Poizat, V. G. Puzarenko, D. O. Revin, V. N. Remeslennikov, N. S. Romanovskii, A. N. Ryaskin, S. S. Starchenko, A. A. Stepanova, S. V. Sudoplatov, E. I. Timoshenko, D. A. Tusupov, N. G. Khisamiev, V. A. Churkin, Z. Chatzidakis, M. V. Schwidefsky, K. M. Shegirov, I. P. Shestakov, “Evgenii Andreevich Palyutin (1945–2018)”, Sib. Èlektron. Mat. Izv., 16 (2019), 1–10
2016
25.
L. A. Bokut', E. S. Golod, R. I. Grigorchuk, V. N. Zhelyabin, V. G. Kats, A. R. Kemer, V. V. Kirichenko, P. S. Kolesnikov, S. S. Kutateladze, V. N. Latyshev, Yu. N. Maltsev, G. A. Margulis, A. V. Mikhalev, A. G. Myasnikov, S. P. Novikov, A. Yu. Ol'shanskii, A. N. Parshin, V. P. Platonov, Yu. G. Reshetnyak, N. S. Romanovskii, I. A. Taimanov, O. G. Kharlampovich, V. K. Kharchenko, L. N. Shevrin, I. P. Shestakov, A. V. Yakovlev, “Efim Isaakovich Zelmanov is 60 years old”, Uspekhi Mat. Nauk, 71:4(430) (2016), 193–199; Russian Math. Surveys, 71:4 (2016), 793–800