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Zhelyabin, Viktor Nikolaevich
Statistics Math-Net.Ru
Total publications: 47
Scientific articles: 45

Number of views:
This page:8179
Abstract pages:14952
Full texts:3745
References:1410
Doctor of physico-mathematical sciences (1998)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: ,
Keywords: ring theory, Jordan algebras, Banah algebras, Lie algebras, coalgebras.

Subject:

A class of Jordan bialgebras related to the "Jordan analog" of the classical Yang–Baxter equation was introduced. It had proved this every Jordan bialgebra defined on a finite-dimensional semisimple Jordan algebra belongs to that class. The triangle and the quasitriangle Jordan bialgebras were defined in agreement with corresponding concepts for the Lie bialgebras, and a characterization the finite-dimensional Jordan algebras admitting a nontrivial structure of a quasitriangle bialgebra was obtained.

Biography

Graduated from Faculty of Mathematics and Mechanics of Novosibirsk State University (NSU) in 1965 (department of algebra and mathematical logik). Ph.D. thesis was defended in 1981. D.Sci. thesis was defended in 1998. A list of my works contains more than 30 titles. Leder the research seminar at NSU on algebra.
   
Main publications:
  • On a class of Jordan D-bialgebras // St. Petersburg Math. J., 2000, 11, 4, 589–609.
  • Jordan D-bialgebras and sympectic forms on Jordan algebras // Siberian Advances in Mathematics, 2000, 10, 2, 134–142.
  • Jordan bialgebras and their relation to Lie bialgebras // Algebra and Logic, 1997, 36, 1, 3–25.
  • Finite-Dimensional Jordan Algebras Admitting the Structure of a Jordan Bialgebra // Algebra and Logic, 1999, 38, 1, 40–67.

https://www.mathnet.ru/eng/person17593
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/212087
https://orcid.org/0000-0001-9371-6363

Publications in Math-Net.Ru Citations
2023
1. V. N. Zhelyabin, P. S. Kolesnikov, “Dual coalgebras of Jacobian $n$-Lie algebras over polynomial rings”, Sibirsk. Mat. Zh., 64:5 (2023),  992–1008  mathnet
2022
2. V. N. Zhelyabin, A. P. Pozhidaev, U. U. Umirbaev, “О простых Ли-разрешимых прелиевых алгебрах”, Algebra Logika, 61:2 (2022),  230–238  mathnet 1
3. 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  mathnet  mathscinet 1
2020
4. V. N. Zhelyabin, A. S. Zakharov, “The superalgebras of jordan brackets defined by the $n$-dimensional sphere”, Sibirsk. Mat. Zh., 61:4 (2020),  803–822  mathnet  elib; Siberian Math. J., 61:4 (2020), 632–647  isi  scopus
5. V. N. Zhelyabin, “Embedding of jordan superalgebras into the superalgebras of jordan brackets”, Sibirsk. Mat. Zh., 61:1 (2020),  78–95  mathnet; Siberian Math. J., 61:1 (2020), 62–75  isi 1
2019
6. V. N. Zhelyabin, “Addition to Block's theorem and to Popov's theorem on differentially simple algebras”, Sib. Èlektron. Mat. Izv., 16 (2019),  1375–1384  mathnet 1
2018
7. V. N. Zhelyabin, A. S. Panasenko, “Nearly finite-dimensional Jordan algebras”, Algebra Logika, 57:5 (2018),  522–546  mathnet; Algebra and Logic, 57:5 (2018), 336–352  isi  scopus 1
8. V. N. Zhelyabin, “Structure of some unital simple Jordan superalgebras with associative even part”, Sibirsk. Mat. Zh., 59:6 (2018),  1322–1337  mathnet  elib; Siberian Math. J., 59:6 (2018), 1051–1062  isi  scopus 2
2017
9. V. N. Zhelyabin, A. S. Panasenko, “Nil Ideals of Finite Codimension in Alternative Noetherian Algebras”, Mat. Zametki, 101:3 (2017),  395–402  mathnet  mathscinet  elib; Math. Notes, 101:3 (2017), 460–466  isi  scopus 2
10. V. N. Zhelyabin, A. I. Shestakov, “Alternative and Jordan algebras admitting ternary derivations with invertible values”, Sib. Èlektron. Mat. Izv., 14 (2017),  1505–1523  mathnet  isi 4
11. V. N. Zhelyabin, A. S. Panasenko, “Herstein's construction for just infinite superalgebras”, Sib. Èlektron. Mat. Izv., 14 (2017),  1317–1323  mathnet 2
2016
12. V. N. Zhelyabin, A. S. Zakharov, “Some constructions for Jordan superalgebras with associative even part”, Algebra i Analiz, 28:2 (2016),  97–113  mathnet  mathscinet  elib; St. Petersburg Math. J., 28:2 (2017), 197–208  isi  scopus 2
13. V. N. Zhelyabin, “Simple Jordan superalgebras with associative nil-semisimple even part”, Sibirsk. Mat. Zh., 57:6 (2016),  1262–1279  mathnet  elib; Siberian Math. J., 57:6 (2016), 987–1001  isi  scopus 8
2015
14. V. N. Zhelyabin, A. S. Zakharov, “Speciality of Jordan Superalgebras Related to Novikov–Poisson Algebras”, Mat. Zametki, 97:3 (2015),  359–367  mathnet  mathscinet  zmath  elib; Math. Notes, 97:3 (2015), 341–348  isi  scopus 7
15. V. N. Zhelyabin, “$(-1,1)$-superalgebras of vector type: Jordan superalgebras of vector type and their universal envelopings”, Sibirsk. Mat. Zh., 56:3 (2015),  520–536  mathnet  mathscinet  elib; Siberian Math. J., 56:3 (2015), 411–424  isi  elib  scopus 1
2014
16. V. N. Zhelyabin, M. E. Goncharov, “An example of differentially simple Lie algebra which is not a free module over its centroid”, Sib. Èlektron. Mat. Izv., 11 (2014),  915–920  mathnet 1
2013
17. V. N. Zhelyabin, A. A. Popov, I. P. Shestakov, “The coordinate ring of an $n$-dimensional sphere and some examples of differentially simple algebras”, Algebra Logika, 52:4 (2013),  416–434  mathnet  mathscinet; Algebra and Logic, 52:4 (2013), 277–289  isi  scopus 3
18. M. E. Goncharov, V. N. Zhelyabin, “Embedding Mal'tsev coalgebras into Lie coalgebras with triality”, Algebra Logika, 52:1 (2013),  34–56  mathnet  mathscinet  zmath; Algebra and Logic, 52:1 (2013), 24–40  isi  scopus 5
19. V. N. Zhelyabin, “Examples of prime Jordan superalgebras of vector type and superalgebras of Cheng–Kac type”, Sibirsk. Mat. Zh., 54:1 (2013),  49–56  mathnet  mathscinet; Siberian Math. J., 54:1 (2013), 33–39  isi  scopus 4
2012
20. V. N. Zhelyabin, “New examples of simple Jordan superalgebras over an arbitrary field of characteristic zero”, Algebra i Analiz, 24:4 (2012),  84–96  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 24:4 (2013), 591–600  isi  elib  scopus 12
21. M. E. Goncharov, V. N. Zhelyabin, “Mikheev's construction for Mal'tsev coalgebras”, Algebra Logika, 51:5 (2012),  668–671  mathnet  mathscinet  zmath; Algebra and Logic, 51:5 (2012), 445–447  isi  scopus 4
22. V. N. Zhelyabin, “Jordan superalgebras of vector type and projective modules”, Sibirsk. Mat. Zh., 53:3 (2012),  566–579  mathnet  mathscinet; Siberian Math. J., 53:3 (2012), 450–460  isi  scopus 2
2011
23. V. N. Zhelyabin, I. B. Kaygorodov, “On $\delta$-superderivations of simple superalgebras of Jordan brackets”, Algebra i Analiz, 23:4 (2011),  40–58  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 23:4 (2012), 665–677  isi  elib  scopus 15
2009
24. V. N. Zhelyabin, “Differential algebras and simple Jordan superalgebras”, Mat. Tr., 12:2 (2009),  41–51  mathnet  mathscinet; Siberian Adv. Math., 20:3 (2010), 223–230 14
25. V. N. Zhelyabin, “Universal envelopes of Malcev Algebras: Pointed Moufang bialgebras”, Sibirsk. Mat. Zh., 50:6 (2009),  1285–1304  mathnet  mathscinet  elib; Siberian Math. J., 50:6 (2009), 1011–1026  isi  elib  scopus 1
2008
26. V. N. Zhelyabin, A. S. Tikhov, “Novikov–Poisson algebras and associative commutative derivation algebras”, Algebra Logika, 47:2 (2008),  186–202  mathnet  mathscinet  zmath; Algebra and Logic, 47:2 (2008), 107–117  isi  scopus 17
2007
27. V. N. Zhelyabin, I. P. Shestakov, “The Chevalley and Costant theorems for Mal'tsev algebras”, Algebra Logika, 46:5 (2007),  560–584  mathnet  mathscinet  zmath  elib; Algebra and Logic, 46:5 (2007), 303–317  isi  elib  scopus 11
2006
28. V. N. Zhelyabin, “The coradical of a Jordan (alternative) coalgebra and the quasiregular radical of its dual algebra”, Mat. Zametki, 80:4 (2006),  509–515  mathnet  mathscinet  zmath  elib; Math. Notes, 80:4 (2006), 485–490  isi  scopus
2005
29. V. N. Zhelyabin, “Dual coalgebras of Jordan bialgebras and superalgebras”, Sibirsk. Mat. Zh., 46:6 (2005),  1302–1315  mathnet  mathscinet  zmath; Siberian Math. J., 46:6 (2005), 1050–1061  isi 7
2004
30. V. N. Zhelyabin, I. P. Shestakov, “Simple special Jordan superalgebras with associative even part”, Sibirsk. Mat. Zh., 45:5 (2004),  1046–1072  mathnet  mathscinet  zmath  elib; Siberian Math. J., 45:5 (2004), 860–882  isi 22
2003
31. V. N. Zhelyabin, “Jordan (super)coalgebras and Lie (super)coalgebras”, Sibirsk. Mat. Zh., 44:1 (2003),  87–111  mathnet  mathscinet  zmath; Siberian Math. J., 44:1 (2003), 73–92  isi 7
2002
32. V. N. Zhelyabin, “Simple Special Jordan Superalgebras with Associative Nil-Semisimple Even Part”, Algebra Logika, 41:3 (2002),  276–310  mathnet  mathscinet  zmath  elib; Algebra and Logic, 41:3 (2002), 152–172  scopus 18
2000
33. V. N. Zhelyabin, “Jordan D-Bialgebras and Symplectic Forms on Jordan Algebras”, Mat. Tr., 3:1 (2000),  38–47  mathnet  mathscinet  zmath; Siberian Adv. Math., 10:2 (2000), 142–150 5
1999
34. V. N. Zhelyabin, “On a class of Jordan $D$-bialgebras”, Algebra i Analiz, 11:4 (1999),  64–94  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:4 (2000), 589–609 12
35. V. N. Zhelyabin, “Finite-dimensional Jordan algebras that admit the structure of a Jordan bialgebra”, Algebra Logika, 38:1 (1999),  40–67  mathnet  mathscinet 1
1998
36. V. N. Zhelyabin, “Jordan bialgebras of symmetric elements and Lie bialgebras”, Sibirsk. Mat. Zh., 39:2 (1998),  299–316  mathnet  mathscinet  zmath; Siberian Math. J., 39:2 (1998), 261–276  isi 17
1997
37. V. N. Zhelyabin, “Jordan bialgebras and their connection with Lie bialgebras”, Algebra Logika, 36:1 (1997),  3–25  mathnet  mathscinet 26
1996
38. V. N. Zhelyabin, “Coalgebras that can be made into a lattice”, Algebra Logika, 35:5 (1996),  529–542  mathnet  mathscinet 7
39. V. N. Zhelyabin, “The Kantor-Koecher-Tits construction for Jordan coalgebras”, Algebra Logika, 35:2 (1996),  173–189  mathnet  mathscinet 10
1995
40. V. N. Zhelyabin, “Jordan superalgebras with a solvable even part”, Algebra Logika, 34:1 (1995),  44–60  mathnet  mathscinet 3
1992
41. Sh. A. Ayupov, A. A. Adizov, V. N. Zhelyabin, “Multiplicative maps of ordered Jordan algebras”, Mat. Zametki, 51:2 (1992),  3–8  mathnet  mathscinet  zmath; Math. Notes, 51:2 (1992), 105–109  isi
1985
42. V. N. Zhelyabin, “On determining separability in alternative and Jordan algebras”, Algebra Logika, 24:4 (1985),  392–407  mathnet  mathscinet
43. Sh. A. Ayupov, V. N. Zhelyabin, “Compatibility of elements in Jordan algebras”, Mat. Zametki, 37:3 (1985),  305–312  mathnet  mathscinet  zmath; Math. Notes, 37:3 (1985), 173–176  isi
1984
44. V. N. Zhelyabin, “A theorem on splitting of the radical for Jordan algebras over a Hensel ring”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 4 (1984),  5–28  mathnet  mathscinet  zmath
1980
45. V. N. Zhelyabin, “A theorem on the splitting of the radical for alternative algebras over a Hensel ring”, Algebra Logika, 19:1 (1980),  81–90  mathnet  mathscinet 1
2019
46. 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  mathnet
2016
47. 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  mathnet  mathscinet  elib; Russian Math. Surveys, 71:4 (2016), 793–800  isi

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