Персоналии: Кайгородов Иван Борисович

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ЖУРНАЛЫ ПЕРСОНАЛИИ ОРГАНИЗАЦИИ КОНФЕРЕНЦИИ СЕМИНАРЫ ВИДЕОТЕКА ПАКЕТ AMSBIB

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Кайгородов Иван Борисович

Публикаций:	45 (45)
в MathSciNet:	38 (38)
в zbMATH:	33 (33)
в Web of Science:	34 (34)
в Scopus:	36 (36)
Цитированных статей:	37
Цитирований:	542

Статистика просмотров:
Эта страница:	5999
Страницы публикаций:	7010
Полные тексты:	1716
Списки литературы:	909

кандидат физико-математических наук (2010)

Специальность ВАК:

01.01.06 (математическая логика, алгебра и теория чисел)

E-mail:

Ключевые слова:

Non-associative algebras and superalgebras.

Основные темы научной работы

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).

Основные публикации:

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/rus/person32718

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

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

Список публикаций:

по числу цит.

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

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.	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]
3.	Iqboljon Karimjanov, Ivan Kaygorodov & Abror Khudoyberdiyev, “The algebraic and geometric classification of nilpotent Novikov algebras”, J. Geom. Phys., 143 (2019), 11–21	32 ^[x]
4.	Nurlan Ismailov, Ivan Kaygorodov, Yury Volkov, “The geometric classification of Leibniz algebras”, International Journal of Mathematics, 29:5 (2018), 1850035	32 ^[x]
5.	И. Б. Кайгородов, “О $\delta$-дифференцированиях классических супералгебр Ли”, Сиб. матем. журн., 50:3 (2009), 547–565 ; Ivan Kaygorodov, “$\delta$-derivations of classical Lie superalgebras”, Siberian Math. J., 50:3 (2009), 434–449	32 ^[x]
6.	И. Б. Кайгородов, “О $\delta$-супердифференцированиях простых конечномерных йордановых и лиевых супералгебр”, Алгебра и логика, 49:2 (2010), 195–215 ; Ivan Kaygorodov, “$\delta$-Superderivations of simple finite-dimensional Jordan and Lie superalgebras”, Algebra and Logic, 49:2 (2010), 130–144	30 ^[x]
7.	И. Б. Кайгородов, “О $\delta$-дифференцированиях простых конечномерных йордановых супералгебр”, Алгебра и логика, 46:5 (2007), 585–605 ; Ivan Kaygorodov, “$\delta$-Derivations of simple finite-dimensional Jordan superalgebras”, Algebra and Logic, 46:5 (2007), 318–329	30 ^[x]
8.	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]
9.	Ivan Kaygorodov, Yuru Volkov, “Complete classification of algebras of level two”, Mosc. Math. J., 19:3 (2019), 485–521 ;	22 ^[x]
10.	И. Б. Кайгородов, “O $\delta$-супердифференцированиях полупростых конечномерных йордановых супералгебр”, Матем. заметки, 91:2 (2012), 200–213 ; Ivan Kaygorodov, “$\delta$-Superderivations of Semisimple Finite-Dimensional Jordan Superalgebras”, Math. Notes, 91:2 (2012), 187–197	22 ^[x]
11.	И. Б. Кайгородов, “$(n+1)$-арные дифференцирования полупростых алгебр Филиппова”, Математические заметки, 96:2 (2014), 217-227 ; Ivan Kaygorodov, “$(n+1)$-ary Derivations of Semisimple Filippov algebras”, Math. Notes, 96:2 (2014), 208–216	19 ^[x]
12.	И. Б. Кайгородов, Ю. С. Попов, “Альтернативные алгебры, допускающие дифференцирования с обратимыми значениями и обратимые дифференцирования”, Известия РАН. Серия математическая, 78:5 (2014), 75-90 ; Ivan Kaygorodov, Yury Popov, “Alternative algebras admitting derivations with invertible values and invertible derivations”, Izv. Math., 78:5 (2014), 922–936	18 ^[x]
13.	И. Б. Кайгородов, “Об $(n+1)$-арных дифференцированиях простых $n$-арных алгебр Мальцева”, Алгебра и анализ, 25:4 (2013), 85-100 ; Ivan Kaygorodov, “$(n+1)$-ary derivations of simple $n$-ary Malcev algebras”, St. Petersburg Math. J., 25:4 (2014), 575–585	18 ^[x]
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, Generalized derivations of (color) $n$-ary algebras, Linear and Multilinear algebra, 64, no. 6, 2016 , 1086-1106 pp., arXiv: 1506.00734	17 ^[x]
16.	И. Б. Кайгородов, “О $\delta$-дифференцированиях $n$-арных алгебр”, Известия РАН. Серия математическая, 76:6 (2012), 81–94 ; Ivan Kaygorodov, “On $\delta$-derivations of $n$-ary algebras”, Izv. Math., 76:6 (2012), 1150–1162	15 ^[x]
17.	В. Н. Желябин, И. Б. Кайгородов, “O $\delta$-супердифференцированиях простых супералгебр йордановых скобок”, Алгебра и анализ, 23:4 (2011), 40–58 ; Ivan Kaygorodov, Victor Zhelyabin, “$\delta$-superderivations of simple superalgebras of Jordan brackets”, St.-Peterburg Mathematical J., 23:4 (2012), 665-667	15 ^[x]
18.	Ilya B. Gorshkov, Ivan Kaygorodov, Alexey A. Kytmanov, Mohamed A. Salim, “The variety of nilpotent Tortkara algebras”, Журн. СФУ. Сер. Матем. и физ., 12:2 (2019), 173–184	14 ^[x]
19.	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]
20.	И. Б. Кайгородов, “$(n+1)$-арные дифференцирования простых $n$-арных алгебр”, Алгебра и логика, 50:5 (2011), 689–691 ; Ivan Kaygorodov, “$(n+1)$-ary derivations of simple $n$-ary algebras”, Algebra and Logic, 50:5 (2011), 470–471	14 ^[x]
21.	Ivan Kaygorodov, Alexander Pozhidaev & Paulo Saraiva, “On a ternary generalization of Jordan algebras”, Linear Multilinear Algebra, 67:6 (2019), 1074–1102	10 ^[x]
22.	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]
23.	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]
24.	Ivan Kaygorodov, Artem Lopatin & Yury Popov, “Separating invariants for 2×2 matrices”, Linear Algebra Appl., 559 (2018), 114–124	8 ^[x]
25.	Ivan Kaygorodov, Elizaveta Okhapkina, “$\delta$-derivations of semisimple structurable algebras”, J. of Algebra and its Applications, 13:4 (2014), 1350130 (12 pages)	8 ^[x]
26.	Ivan Kaygorodov, Yury Volkov, “Conservative algebras of 2-dimensional algebras, II”, Communications in Algebra, 45:8 (2017), 3413-3421	6 ^[x]
27.	И. Б. Кайгородов, “Об обобщенном дубле Кантора”, Вестник Самарского государственного университета, 78:4 (2010), 42-50	6 ^[x]
28.	Ivan Kaygorodov, Yury Popov & Alexandr Pozhidaev, “The universal conservative superalgebra”, Comm. Algebra, 47:10 (2019), 4066–4076	4 ^[x]
29.	Ivan Kaygorodov, “On the Kantor product”, Journal of Algebra and Its Applications, 17:5 (2017), 1750167 , 17 pages pp.	4 ^[x]
30.	Ivan Kaygorodov, “Algebras of Jordan brackets and generalized Poisson algebras”, Linear and Multilinear Algebra, 65:6 (2017), 1142-1157	3 ^[x]
31.	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]
32.	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]
33.	Ivan Kaygorodov, Artem Lopatin, Yury Popov, “The structure of simple noncommutative Jordan superalgebras”, Mediterranean Journal of Mathematics, 15:2 (2018), 33	2 ^[x]
34.	Ivan Kaygorodov, Yury Popov, “Commentary to Generalized derivations of Lie triple systems”, Open Mathematics, 2016, 543-544	2 ^[x]
35.	Ivan Kaygorodov, Artem Lopatin, Yury Popov, “Jordan algebras admitting derivations with invertible values”, Communications in Algebra, 46:1 (2018), 69-81	1 ^[x]
36.	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]
37.	И. Б. Кайгородов, “Об обобщенных $\delta$-дифференцированиях”, Вестник Самарского государственного университета, 110:9/1 (2013), 12-21	1 ^[x]
38.	Ivan Kaygorodov & Yury Popov, “Split regular Hom-Leibniz color 3-algebras”, Colloq. Math., 157:2 (2019) , 251–277 pp.
39.	Ivan Kaygorodov, Yury Popov, Yury Volkov, “Degenerations of binary Lie and nilpotent Malcev algebras”, Communications in Algebra, 46:11 (2018), 4929-4941
40.	Ivan Kaygorodov, “On (reverse) $(\alpha, \beta, \gamma)$-derivations of associative algebras”, Bollettino dell’Unione Matematica Italiana, 8:3 (2015), 181-187
41.	Ivan Kaygorodov, “Jordan $\delta$-derivations of associative algebras”, Journal of Generalized Lie Theory and Applications, s1 (2015), 003
42.	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
43.	И. Б. Кайгородов, “Некоторые свойства сверхсовершенных чисел”, Вестник Кузбасского Государственного Технического Университета, 4:3 (2000), 90–93
44.	I. B. Gorshkov, I. B. Kaygorodov, A. V. Kukharev, A. A. Shlepkin, “On Thompson's conjecture for finite simple exceptional groups of Lie type”, Вопросы теории представлений алгебр и групп. 34, Зап. научн. сем. ПОМИ, 478, ПОМИ, СПб., 2019, 100–107 ;
45.	А. В. Кухарев, И. Б. Кайгородов, И. Б. Горшков, “Когда групповое кольцо простой конечной группы полуцепное”, Вопросы теории представлений алгебр и групп. 32, Зап. научн. сем. ПОМИ, 460, ПОМИ, СПб., 2017, 168–189 ; 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

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