Persons: Kaygorodov, Ivan Borisovich

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Kaygorodov, Ivan Borisovich

Total publications:	45 (45)
in MathSciNet:	38 (38)
in zbMATH:	33 (33)
in Web of Science:	34 (34)
in Scopus:	36 (36)
Cited articles:	37
Citations:	542

Number of views:
This page:	5999
Abstract pages:	7010
Full texts:	1716
References:	909

Candidate of physico-mathematical sciences (2010)

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

E-mail:

Keywords:

Non-associative algebras and superalgebras.

Subject:

Non-associative algebraic stuctures (Jordan algebras and superalgebras, Lie algebras and superalgebras, Malcev algebras and superalgebras, Alternative algebras and superalgebras, Structurable algebras and superalgebras, Zinbiel algebras and superalgebras, Leibniz algebras and superalgebras, Terminal algebras and superalgebras, Conservative algebras and superalgebras, n-ary algebras and superalgebras, Filippov algebras, Poisson algebras and superalgebras and their generalizations; derivations and generalized derivations, automorphisms and generalized automorphisms, Rota-Baxter operatos and other liner and non-linear mappings).

Main publications:

Ivan Kaygorodov & Yury Volkov, Complete classification of algebras of level two, Moscow Mathematical Journal,19 (2019), 3, 485–521.
Ivan Kaygorodov & Yury Volkov, “The variety of 2-dimensional algebras over an algebraically closed field”, Canadian Journal of Mathematics, 71 (2019), 4, 819–842.
Ivan Kaygorodov & Yury Popov, Split RegularHom-Leibniz Color 3-Algebras, Colloquium Mathematicum,157 (2019), 2, 251–278.
Ivan Kaygorodov & Yury Popov, A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations, Journal of Algebra, 456, (2016), 323–347.
Ivan Kaygorodov & Yury Popov, Generalized derivations of (color) n-ary algebras, Linear and Multilinear Algebra, 64 (2016), 6, 1086–1106.

https://www.mathnet.ru/eng/person32718

https://scholar.google.com/citations?user=O2s7LsMAAAAJ&hl=en

https://zbmath.org/authors/ai:kaigorodov.i-b

https://mathscinet.ams.org/mathscinet/MRAuthorID/829971

https://elibrary.ru/author_items.asp?authorid=521726

https://orcid.org/0000-0003-2084-9215

https://www.webofscience.com/wos/author/record/D-8751-2014

https://www.scopus.com/authid/detail.url?authorId=27368104500

https://arxiv.org/a/Ivan_Kaygorodov

Full list of publications:

scientific publications

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2019
1.	Ivan Kaygorodov, Yury Volkov, “The variety of 2-dimensional algebras over an algebraically closed field”, Canad. J. Math., 71:4 (2019), 819–842 , arXiv: 1701.08233	42 ^[x]
2.	Patricia Damas Beites, Ivan Kaygorodov, Yury Popov, “Generalized derivations of multiplicative $n$-ary Hom-$\Omega$ color algebras”, Bulletin of the Malaysian Mathematical Sciences Society, 42:1 (2019), 315–335	9 ^[x]
3.	Ilya B. Gorshkov, Ivan Kaygorodov, Alexey A. Kytmanov, Mohamed A. Salim, “The variety of nilpotent Tortkara algebras”, Zhurn. SFU. Ser. Matem. i fiz., 12:2 (2019), 173–184	14 ^[x]
4.	Ivan Kaygorodov & Yury Popov, “Split regular Hom-Leibniz color 3-algebras”, Colloq. Math., 157:2 (2019) , 251–277 pp.
5.	Ivan Kaygorodov, Yury Popov & Alexandr Pozhidaev, “The universal conservative superalgebra”, Comm. Algebra, 47:10 (2019), 4066–4076	4 ^[x]
6.	Iqboljon Karimjanov, Ivan Kaygorodov & Abror Khudoyberdiyev, “The algebraic and geometric classification of nilpotent Novikov algebras”, J. Geom. Phys., 143 (2019), 11–21	32 ^[x]
7.	Elisabete Barreiro, Ivan Kaygorodov & José M. Sánchez, “k-modules over linear spaces by n-linear maps admitting a multiplicative basis”, Algebr. Represent. Theory, 22:3 (2019), 615–626	2 ^[x]
8.	Antonio Jesús Calderón, Ivan Kaygorodov & Paulo Saraiva, “Decompositions of linear spaces induced by n-linear maps”, Linear Multilinear Algebra, 67:6 (2019), 1250–1268	2 ^[x]
9.	Ivan Kaygorodov, Alexander Pozhidaev & Paulo Saraiva, “On a ternary generalization of Jordan algebras”, Linear Multilinear Algebra, 67:6 (2019), 1074–1102	10 ^[x]
10.	Antonio Jesús Calderón, Amir Fernández Ouaridi & Ivan Kaygorodov, “The classification of n-dimensional anticommutative algebras with (n−3)-dimensional annihilator”, Comm. Algebra, 47:1 (2019), 173–181	23 ^[x]
11.	I. B. Gorshkov, I. B. Kaygorodov, A. V. Kukharev, A. A. Shlepkin, “On Thompson's conjecture for finite simple exceptional groups of Lie type”, Voprosy teorii predstavlenii algebr i grupp. 34, Zap. nauchn. sem. POMI, 478, POMI, SPb., 2019, 100–107 ;
12.	Ivan Kaygorodov, Yuru Volkov, “Complete classification of algebras of level two”, Mosc. Math. J., 19:3 (2019), 485–521 ;	22 ^[x]

2018
13.	Ivan Kaygorodov, Yury Popov, Yury Volkov, “Degenerations of binary Lie and nilpotent Malcev algebras”, Communications in Algebra, 46:11 (2018), 4929-4941
14.	Ivan Kaygorodov, Ivan Shestakov, Ualbai Umirbaev, “Free generic Poisson fields and algebras”, Communications in Algebra, 46:4 (2018), 1799-1812	17 ^[x]
15.	Ivan Kaygorodov, Yury Popov, Alexander Pozhidaev, Yury Volkov, “Degenerations of Zinbiel and nilpotent Leibniz algebras”, Linear and Multilinear Algebra, 66:4 (2018), 704-716	38 ^[x]
16.	Ivan Kaygorodov, Artem Lopatin, Yury Popov, “Jordan algebras admitting derivations with invertible values”, Communications in Algebra, 46:1 (2018), 69-81	1 ^[x]
17.	Nurlan Ismailov, Ivan Kaygorodov, Yury Volkov, “The geometric classification of Leibniz algebras”, International Journal of Mathematics, 29:5 (2018), 1850035	32 ^[x]
18.	Ivan Kaygorodov, Artem Lopatin, Yury Popov, “The structure of simple noncommutative Jordan superalgebras”, Mediterranean Journal of Mathematics, 15:2 (2018), 33	2 ^[x]
19.	Ivan Kaygorodov, Artem Lopatin & Yury Popov, “Separating invariants for 2×2 matrices”, Linear Algebra Appl., 559 (2018), 114–124	8 ^[x]

2017
20.	Ivan Kaygorodov, “Algebras of Jordan brackets and generalized Poisson algebras”, Linear and Multilinear Algebra, 65:6 (2017), 1142-1157	3 ^[x]
21.	Ivan Kaygorodov, Yury Volkov, “Conservative algebras of 2-dimensional algebras, II”, Communications in Algebra, 45:8 (2017), 3413-3421	6 ^[x]
22.	Ivan Kaygorodov, “On the Kantor product”, Journal of Algebra and Its Applications, 17:5 (2017), 1750167 , 17 pages pp.	4 ^[x]

2019
23.	A. V. Kukharev, I. B. Kaygorodov, I. B. Gorshkov, “When the group ring of a simple finite group is serial”, J. Math. Sci. (N. Y.), 240:4 (2019), 481–493

2016
24.	Ivan Kaygorodov, Yury Popov, A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations, Journal of Algebra, 456, 2016 , 323-347 pp., arXiv: 1506.00732	14 ^[x]
25.	Ivan Kaygorodov, Yury Popov, Generalized derivations of (color) $n$-ary algebras, Linear and Multilinear algebra, 64, no. 6, 2016 , 1086-1106 pp., arXiv: 1506.00734	17 ^[x]
26.	Ivan Kaygorodov, Yury Popov, “Commentary to Generalized derivations of Lie triple systems”, Open Mathematics, 2016, 543-544	2 ^[x]

2015
27.	Ivan Kaygorodov, Artem Lopatin, Yury Popov, “Conservative algebras of $2$-dimensional algebras”, Linear Algebra and its Applications, 486 (2015), 255-274 , arXiv: 1411.7744	9 ^[x]
28.	Ivan Kaygorodov, “On (reverse) $(\alpha, \beta, \gamma)$-derivations of associative algebras”, Bollettino dell’Unione Matematica Italiana, 8:3 (2015), 181-187
29.	Ivan Kaygorodov, “Jordan $\delta$-derivations of associative algebras”, Journal of Generalized Lie Theory and Applications, s1 (2015), 003
30.	Ivan Kaygorodov, Artem Lopatin, Yury Popov, Identities of sum of two PI-algebras in the case of positive characteristic, 2015 , International Journal of Algebra and Computations, 25, 8, 1265-1273., arXiv: 1411.7395	1 ^[x]

2014
31.	Ivan Kaygorodov, Elizaveta Okhapkina, “$\delta$-derivations of semisimple structurable algebras”, J. of Algebra and its Applications, 13:4 (2014), 1350130 (12 pages)	8 ^[x]
32.	Ivan Kaygorodov, “$(n+1)$-ary Derivations of Semisimple Filippov algebras”, Math. Notes, 96:2 (2014), 208–216
33.	Ivan Kaygorodov, Yury Popov, “Alternative algebras admitting derivations with invertible values and invertible derivations”, Izv. Math., 78:5 (2014), 922–936
34.	Ivan Kaygorodov, “$(n+1)$-ary derivations of simple $n$-ary Malcev algebras”, St. Petersburg Math. J., 25:4 (2014), 575–585

2013
35.	I. B. Kaigorodov, “Ob obobschennykh $\delta$-differentsirovaniyakh”, Vestnik Samarskogo gosudarstvennogo universiteta, 110:9/1 (2013), 12-21	1 ^[x]

2012
36.	Ivan Kaygorodov, “$\delta$-Superderivations of Semisimple Finite-Dimensional Jordan Superalgebras”, Math. Notes, 91:2 (2012), 187–197
37.	Ivan Kaygorodov, “$\delta$-derivations of algebras and superalgebras”, Proceedings of the International Conference on Algebra 2010, Advances in Algebraic Structures (Gadjah Mada University, Indonesia, 7-10 October 2010), eds. W. Hemakul, S. Wahyuni, P. W. Sy, World Scientific Publishing Company, 2012, 374-380
38.	Ivan Kaygorodov, “On $\delta$-derivations of $n$-ary algebras”, Izv. Math., 76:6 (2012), 1150–1162
39.	Ivan Kaygorodov, Victor Zhelyabin, “$\delta$-superderivations of simple superalgebras of Jordan brackets”, St.-Peterburg Mathematical J., 23:4 (2012), 665-667

2011
40.	Ivan Kaygorodov, “$(n+1)$-ary derivations of simple $n$-ary algebras”, Algebra and Logic, 50:5 (2011), 470–471

2010
41.	I. B. Kaigorodov, “Ob obobschennom duble Kantora”, Vestnik Samarskogo gosudarstvennogo universiteta, 78:4 (2010), 42-50	6 ^[x]
42.	Ivan Kaygorodov, “$\delta$-Superderivations of simple finite-dimensional Jordan and Lie superalgebras”, Algebra and Logic, 49:2 (2010), 130–144

2009
43.	Ivan Kaygorodov, “$\delta$-derivations of classical Lie superalgebras”, Siberian Math. J., 50:3 (2009), 434–449

2007
44.	Ivan Kaygorodov, “$\delta$-Derivations of simple finite-dimensional Jordan superalgebras”, Algebra and Logic, 46:5 (2007), 318–329

2000
45.	I. B. Kaigorodov, “Nekotorye svoistva sverkhsovershennykh chisel”, Vestnik Kuzbasskogo Gosudarstvennogo Tekhnicheskogo Universiteta, 4:3 (2000), 90–93

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