Edit Profile (opens in new tab) Kaygorodov, Ivan Co-Author Distance Author ID: kaygorodov.ivan Published as: Kaygorodov, Ivan; Kaĭgorodov, I. B.; Kaygorodov, I. B.; Kaygorodov, I.; Kaĭgorodov, N. B.; Kaĭgorodov, I. more...less Further Spellings: Kaĭgorodov, Ivan; Кайгородов Иван Б External Links: MGP · ORCID · Math-Net.Ru Documents Indexed: 130 Publications since 2007, including 16 Additional arXiv Preprints Reviewing Activity: 46 Reviews Co-Authors: 65 Co-Authors with 114 Joint Publications 928 Co-Co-Authors all top 5 Co-Authors 16 single-authored 18 Popov, Yury 17 Khudoyberdiyev, Abror Kh. 16 Khrypchenko, Mykola S. 11 Volkov, Yuriĭ S. 9 Fernández Ouaridi, Amir 8 Calderón Martín, Antonio Jesús 6 Camacho, Luisa Maria 6 Gorshkov, Il’ya Borisovich 6 Lopes, Samuel A. 5 Abdelwahab, Hani 5 Abdurasulov, Kobiljon K. 5 Ferreira, Bruno Leonardo Macedo 5 Karimjanov, Ikboljon Abdulazizovich 5 Lopatin, Artem A. 4 Alvarez, María Alejandra 4 Ismailov, Nurlan A. 4 Jumaniyozov, Doston 4 Mashurov, Farukh A. 4 Páez-Guillán, Pilar 4 Pozhidaev, Aleksandr Petrovich 3 Beites, Patrícia Damas 3 Fehlberg Júnior, Renato 3 Lopatkin, Viktor 3 Martín González, Cándido 3 Sattarov, Aloberdi 2 Adashev, Jobir Q. 2 Barreiro, Elisabete 2 Kukharev, Andreĭ Valer’evich 2 Ladra González, Manuel 2 Makhlouf, Abdenacer 2 Omirov, Bakhrom A. 2 Salim, Mohamed Ahmed M. 2 Sánchez Delgado, José María 2 Saraiva, Paulo 2 Shermatova, Zarina 2 Voronin, Vasily 2 Zhang, Zerui 1 Abdeljelil, Amine Ben 1 Benayadi, Saïd 1 Castilho de Mello, Thiago 1 Elhamdadi, Mohamed 1 Guo, Xuelian 1 Guzzo, Henrique jun. 1 Hernández, Isabel 1 Kuster, Crislaine 1 Kytmanov, Alexey Alexandrovich 1 Martín Barquero, Dolores 1 Mhamdi, Fahmi 1 Mustafa, Manat 1 Nam, Tran Giang 1 Navarro, Rosa María 1 Okhapkina, Elizaveta 1 Popov, Yu. S. 1 Rakhimov, Isamiddin Sattarovich 1 Sartayev, Bauyrzhan K. 1 Shashkov, Oleg Vladimirovich 1 Shestakov, Ivan Pavlovich 1 Shlëpkin, Alekseĭ Anatol’evich 1 Solijanova, Gulkhayo O. 1 Tang, Liming 1 Umirbaev, Ualbaĭ Utmakhanbetovich 1 Wei, Feng 1 Yuldashev, Inomjon 1 Zhelyabin, Viktor Nikolaevich 1 Zusmanovich, Pasha all top 5 Serials 13 Communications in Algebra 13 Linear and Multilinear Algebra 7 Journal of Algebra 7 Journal of Algebra and its Applications 5 Journal of Geometry and Physics 5 Journal of Pure and Applied Algebra 5 Algebras and Representation Theory 4 Linear Algebra and its Applications 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Communications in Mathematics 3 Results in Mathematics 3 Ricerche di Matematica 2 Mathematical Notes 2 Algebra and Logic 2 Colloquium Mathematicum 2 International Journal of Algebra and Computation 2 Algebra Colloquium 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Izvestiya: Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Bollettino dell’Unione Matematica Italiana 1 Journal of Mathematical Physics 1 Periodica Mathematica Hungarica 1 Algebra i Logika 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 International Journal of Mathematics 1 The New York Journal of Mathematics 1 Revista Matemática Complutense 1 Moscow Mathematical Journal 1 Vestnik Samarskogo Gosudarstvennogo Universitetea. Estestvennonauchnaya Seriya 1 Mediterranean Journal of Mathematics 1 Journal of Generalized Lie Theory and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Carpathian Mathematical Publications 1 Open Mathematics 1 Journal of Siberian Federal University. Mathematics & Physics 1 Electronic Research Archive 1 Portugaliae Mathematica all top 5 Fields 100 Nonassociative rings and algebras (17-XX) 18 Algebraic geometry (14-XX) 18 Associative rings and algebras (16-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 1 General algebraic systems (08-XX) 1 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 107 Publications have been cited 1,169 times in 255 Documents Cited by ▼ Year ▼ The variety of two-dimensional algebras over an algebraically closed field. Zbl 1440.17027 Kaygorodov, Ivan; Volkov, Yury 46 2019 Degenerations of Zinbiel and nilpotent Leibniz algebras. Zbl 1472.17100 Kaygorodov, Ivan; Popov, Yury; Pozhidaev, Alexandre; Volkov, Yury 42 2018 The geometric classification of Leibniz algebras. Zbl 1423.17005 Ismailov, Nurlan; Kaygorodov, Ivan; Volkov, Yury 35 2018 The algebraic and geometric classification of nilpotent binary Lie algebras. Zbl 1473.17086 Abdelwahab, Hani; Calderón, Antonio Jesús; Kaygorodov, Ivan 33 2019 The algebraic and geometric classification of nilpotent anticommutative algebras. Zbl 1460.17047 Kaygorodov, Ivan; Khrypchenko, Mykola; Lopes, Samuel A. 32 2020 Degenerations of binary Lie and nilpotent Malcev algebras. Zbl 1441.17027 Kaygorodov, Ivan; Popov, Yury; Volkov, Yury 32 2018 The algebraic and geometric classification of nilpotent Novikov algebras. Zbl 1460.17049 Karimjanov, Iqboljon; Kaygorodov, Ivan; Khudoyberdiyev, Abror 29 2019 The algebraic and geometric classification of nilpotent bicommutative algebras. Zbl 1487.17003 Kaygorodov, Ivan; Páez-Guillán, Pilar; Voronin, Vasily 29 2020 The classification of 2-dimensional rigid algebras. Zbl 1471.17002 Calderón, Antonio Jesús; Fernández Ouaridi, Amir; Kaygorodov, Ivan 28 2020 Degenerations of Leibniz and anticommutative algebras. Zbl 1477.17020 Ismailov, Nurlan; Kaygorodov, Ivan; Volkov, Yury 27 2019 \(\delta\)-derivations of classical Lie superalgebras. Zbl 1221.17019 Kaĭgorodov, I. B. 25 2009 Degenerations of nilpotent algebras. Zbl 1486.17001 Fernández Ouaridi, Amir; Kaygorodov, Ivan; Khrypchenko, Mykola; Volkov, Yury 25 2022 The classification of \(n\)-dimensional anticommutative algebras with \((n-3)\)-dimensional annihilator. Zbl 1460.17008 Calderón, Antonio Jesús; Fernández Ouaridi, Amir; Kaygorodov, Ivan 25 2019 \(\delta\)-derivations of simple finite-dimensional Jordan superalgebras. Zbl 1164.17020 Kaĭgorodov, N. B. 23 2007 Complete classification of algebras of level two. Zbl 1461.17002 Kaygorodov, Ivan; Volkov, Yury 22 2019 \(\delta \)-superderivations of simple finite-dimensional Jordan and Lie superalgebras. Zbl 1232.17028 Kaĭgorodov, I. B. 21 2010 The variety of dual mock-Lie algebras. Zbl 1490.17003 Camacho, Luisa M.; Kaygorodov, Ivan; Lopatkin, Viktor; Salim, Mohamed A. 21 2020 The geometric classification of nilpotent Tortkara algebras. Zbl 1508.17001 Gorshkov, Ilya; Kaygorodov, Ivan; Khrypchenko, Mykola 20 2020 The algebraic and geometric classification of nilpotent assosymmetric algebras. Zbl 1502.17003 Ismailov, Nurlan; Kaygorodov, Ivan; Mashurov, Farukh 20 2021 The algebraic and geometric classification of nilpotent terminal algebras. Zbl 1471.17005 Kaygorodov, Ivan; Khrypchenko, Mykola; Popov, Yury 19 2021 Non-associative central extensions of null-filiform associative algebras. Zbl 1452.16001 Kaygorodov, Ivan; Lopes, Samuel A.; Páez-Guillán, Pilar 18 2020 Generalized derivations of (color) \(n\)-ary algebras. Zbl 1370.17006 Kaygorodov, Ivan; Popov, Yury 18 2016 A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations. Zbl 1335.17002 Kaygorodov, Ivan; Popov, Yu. 17 2016 The algebraic classification of nilpotent Tortkara algebras. Zbl 1462.17002 Gorshkov, Ilya; Kaygorodov, Ivan; Khrypchenko, Mykola 16 2020 On \((n+1)\)-ary derivations of simple \(n\)-ary Mal’tsev algebras. Zbl 1380.17025 Kaĭgorodov, I. B. 16 2014 Alternative algebras admitting derivations with invertible values and invertible derivations. Zbl 1315.17025 Kaygorodov, I. B.; Popov, Yu S. 16 2014 \((n+1)\)-ary derivations of semisimple Filippov algebras. Zbl 1315.17002 Kaĭgorodov, I. B. 16 2014 Free generic Poisson fields and algebras. Zbl 1434.17027 Kaygorodov, Ivan; Shestakov, Ivan; Umirbaev, Ualbai 16 2018 \(\delta\)-superderivations of semisimple finite-dimensional Jordan superalgebras. Zbl 1376.17043 Kaĭgorodov, I. B. 15 2012 \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras. Zbl 1507.17037 Ferreira, Bruno Leonardo Macedo; Kaygorodov, Ivan; Lopatkin, Viktor 15 2021 Poisson structures on finitary incidence algebras. Zbl 1481.17031 Kaygorodov, Ivan; Khrypchenko, Mykola 15 2021 Generalized derivations of \(n\)-BiHom-Lie algebras. Zbl 1485.17014 Ben Abdeljelil, Amine; Elhamdadi, Mohamed; Kaygorodov, Ivan; Makhlouf, Abdenacer 14 2020 Degenerations of Filippov algebras. Zbl 1471.17012 Kaygorodov, Ivan; Volkov, Yury 14 2020 Degenerations of Jordan superalgebras. Zbl 1477.17096 Alvarez, María Alejandra; Hernández, Isabel; Kaygorodov, Ivan 13 2019 The variety of nilpotent Tortkara algebras. Zbl 1462.17001 Gorshkov, Ilya B.; Kaygorodov, Ivan; Kytmanov, Alexey A.; Salim, Mohamed A. 13 2019 Higher derivations of finitary incidence algebras. Zbl 1456.16026 Kaygorodov, Ivan; Khrypchenko, Mykola; Wei, Feng 13 2019 Generalized derivations of multiplicative \(n\)-ary \(\operatorname{Hom}\text{-}\Omega\) color algebras. Zbl 1464.17007 Beites, P. D.; Kaygorodov, Ivan; Popov, Yury 12 2019 The algebraic classification of nilpotent associative commutative algebras. Zbl 1460.16007 Kaygorodov, Ivan; Rakhimov, Isamiddin; Said Husain, Sh. K. 12 2020 Transposed Poisson structures on Block Lie algebras and superalgebras. Zbl 1516.17002 Kaygorodov, Ivan; Khrypchenko, Mykola 12 2023 On \(\delta\)-derivations of \(n\)-ary algebras. Zbl 1279.17002 Kaĭgorodov, I. B. 11 2012 On the classification of bilinear maps with radical of a fixed codimension. Zbl 1503.15033 Calderón, Antonio Jesús; Fernández Ouaridi, Amir; Kaygorodov, Ivan 11 2022 Transposed Poisson structures on Galilean and solvable Lie algebras. Zbl 1528.17018 Kaygorodov, Ivan; Lopatkin, Viktor; Zhang, Zerui 11 2023 Conservative algebras of 2-dimensional algebras. Zbl 1321.17002 Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury 11 2015 Degenerations of nilpotent associative commutative algebras. Zbl 1453.17004 Kaygorodov, Ivan; Lopes, Samuel A.; Popov, Yury 10 2020 The algebraic and geometric classification of nilpotent noncommutative Jordan algebras. Zbl 1514.17003 Jumaniyozov, Doston; Kaygorodov, Ivan; Khudoyberdiyev, Abror 10 2021 On a ternary generalization of Jordan algebras. Zbl 1465.17007 Kaygorodov, Ivan; Pozhidaev, Alexander; Saraiva, Paulo 10 2019 The algebraic and geometric classification of transposed Poisson algebras. Zbl 1507.17003 Beites, Patrícia Damas; Fernández Ouaridi, Amir; Kaygorodov, Ivan 10 2023 On \(\delta\)-superderivations of simple superalgebras of Jordan brackets. Zbl 1323.17021 Zhelyabin, V. N.; Kaĭgorodov, I. B. 10 2012 Transposed Poisson structures on Witt type algebras. Zbl 1526.17039 Kaygorodov, Ivan; Khrypchenko, Mykola 10 2023 \((n+1)\)-ary derivations of simple \(n\)-ary algebras. Zbl 1261.17002 Kaĭgorodov, I. B. 9 2011 Central extensions of filiform associative algebras. Zbl 1465.16026 Karimjanov, Iqboljon; Kaygorodov, Ivan; Ladra, Manuel 9 2021 Rota-type operators on null-filiform associative algebras. Zbl 1464.16039 Karimjanov, Iqboljon; Kaygorodov, Ivan; Ladra, Manuel 9 2020 Separating invariants for \(2 \times 2\) matrices. Zbl 1397.16019 Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury 9 2018 The geometric classification of 2-step nilpotent algebras and applications. Zbl 1521.17003 Ignatyev, Mikhail; Kaygorodov, Ivan; Popov, Yury 9 2022 The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras. Zbl 1483.17004 Alvarez, María Alejandra; Kaygorodov, Ivan 8 2021 Degenerations of Jordan algebras and “marginal” algebras. Zbl 1478.17031 Gorshkov, Ilya; Kaygorodov, Ivan; Popov, Yury 8 2021 Conservative algebras of 2-dimensional algebras. II. Zbl 1427.17003 Kaygorodov, Ivan; Volkov, Yury 8 2017 Central extensions of filiform Zinbiel algebras. Zbl 1493.17004 Camacho, Luisa M.; Karimjanov, Iqboljon; Kaygorodov, Ivan; Khudoyberdiyev, Abror 8 2022 Central extensions of 3-dimensional Zinbiel algebras. Zbl 1537.17006 Kaygorodov, Ivan; Alvarez, María Alejandra; Castilho de Mello, Thiago 7 2023 Some cohomologically rigid solvable Leibniz algebras. Zbl 1450.17002 Camacho, Luisa M.; Kaygorodov, Ivan; Omirov, Bakhrom; Solijanova, Gulkhayo 7 2020 One-generated nilpotent terminal algebras. Zbl 1471.17006 Kaygorodov, Ivan; Khudoyberdiyev, Abror; Sattarov, Aloberdi 7 2020 The algebraic classification of nilpotent commutative \(\mathfrak{CD}\)-algebras. Zbl 1483.17003 Jumaniyozov, Doston; Kaygorodov, Ivan; Khudoyberdiyev, Abror 7 2021 Algebras of Jordan brackets and generalized Poisson algebras. Zbl 1418.17071 Kaygorodov, Ivan 7 2017 Transposed Poisson structures on generalized Witt algebras and Block Lie algebras. Zbl 1535.17003 Kaygorodov, Ivan; Khrypchenko, Mykola 6 2023 On the Kantor product. Zbl 1419.17002 Kaygorodov, Ivan 6 2017 One-generated nilpotent Novikov algebras. Zbl 1493.17003 Camacho, Luisa M.; Karimjanov, Iqboljon; Kaygorodov, Ivan; Khudoyberdiyev, Abror 6 2022 The universal conservative superalgebra. Zbl 1475.17001 Kaygorodov, Ivan; Popov, Yury; Pozhidaev, Alexandr 5 2019 Commuting maps on alternative rings. Zbl 1497.17042 Ferreira, Bruno Leonardo Macedo; Kaygorodov, Ivan 5 2022 The algebraic and geometric classification of Zinbiel algebras. Zbl 1506.17001 Alvarez, María Alejandra; Fehlberg Júnior, Renato; Kaygorodov, Ivan 5 2022 \(k\)-modules over linear spaces by \(n\)-linear maps admitting a multiplicative basis. Zbl 1447.17007 Barreiro, Elisabete; Kaygorodov, Ivan; Sánchez, José M. 4 2019 Split regular Hom-Leibniz color 3-algebras. Zbl 1477.17046 Kaygorodov, Ivan; Popov, Yury 4 2019 \(\delta\)-derivations of semisimple finite-dimensional structurable algebras. Zbl 1316.17001 Kaygorodov, Ivan; Okhapkina, Elizaveta 4 2014 On anticommutative algebras for which \([R_a,R_b]\) is a derivation. Zbl 1505.17004 Kaygorodov, Ivan; Zusmanovich, Pasha 4 2021 Decompositions of linear spaces induced by \(n\)-linear maps. Zbl 1411.15004 Calderón, Antonio Jesús; Kaygorodov, Ivan; Saraiva, Paulo 4 2019 Lie maps on alternative rings preserving idempotents. Zbl 1485.17033 Ferreira, Bruno Leonardo Macedo; Guzzo, Henrique jun.; Kaygorodov, Ivan 4 2021 Corrigendum to: “Degenerations of Zinbiel and nilpotent Leibniz algebras”. Zbl 1482.17061 Kaygorodov, Ivan; Popov, Yury; Pozhidaev, Alexandre; Volkov, Yury 4 2022 The structure of simple noncommutative Jordan superalgebras. Zbl 1434.17036 Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury 3 2018 The algebraic and geometric classification of nilpotent right commutative algebras. Zbl 1491.17021 Adashev, Jobir; Kaygorodov, Ivan; Khudoyberdiyev, Abror; Sattarov, Aloberdi 3 2021 The geometric classification of nilpotent \(\mathfrak{CD} \)-algebras. Zbl 1505.17003 Kaygorodov, Ivan; Khrypchenko, Mykola 3 2021 Jordan algebras admitting derivations with invertible values. Zbl 1429.17030 Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury 3 2018 \(n\)-ary generalized Lie-type color algebras admitting a quasi-multiplicative basis. Zbl 1461.17007 Barreiro, Elisabete; Calderón, Antonio Jesús; Kaygorodov, Ivan; Sánchez, José María 3 2019 One-generated nilpotent bicommutative algebras. Zbl 1525.17001 Kaygorodov, Ivan; Páez-Guillán, Pilar; Voronin, Vasily 3 2022 The algebraic and geometric classification of antiassociative algebras. Zbl 1497.17001 Fehlberg Júnior, Renato; Kaygorodov, Ivan; Kuster, Crislaine 3 2022 Local derivations of semisimple Leibniz algebras. Zbl 07897664 Kaygorodov, Ivan; Kudaybergenov, Karimbergen; Yuldashev, Inomjon 3 2022 \(\delta\)-derivations of algebras and superalgebras. Zbl 1283.17002 Kaĭgorodov, I. 2 2012 The geometric classification of nilpotent algebras. Zbl 1533.17001 Kaygorodov, Ivan; Khrypchenko, Mykola; Lopes, Samuel A. 2 2023 The algebraic classification of nilpotent commutative algebras. Zbl 1511.17007 Jumaniyozov, Doston; Kaygorodov, Ivan; Khudoyberdiyev, Abror 2 2021 The algebraic and geometric classification of nilpotent left-symmetric algebras. Zbl 1497.17045 Adashev, Jobir; Kaygorodov, Ivan; Khudoyberdiyev, Abror; Sattarov, Aloberdi 2 2021 Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras. Zbl 1482.17002 Calderón, Antonio Jesús; Camacho, Luisa María; Kaygorodov, Ivan; Omirov, Bakhrom 2 2021 Symmetric Zinbiel superalgebras. Zbl 1523.17003 Benayadi, Saïd; Kaygorodov, Ivan; Mhamdi, Fahmi 2 2023 On the Kantor product. II. Zbl 1528.17001 Fehlberg Júnior, R.; Kaygorodov, I. 2 2022 Transposed Poisson structures. Zbl 07812537 Beites, Patrícia Damas; Ferreira, Bruno Leonardo Macedo; Kaygorodov, Ivan 2 2024 Local and 2-local derivations of simple \(n\)-ary algebras. Zbl 07818700 Ferreira, Bruno Leonardo Macedo; Kaygorodov, Ivan; Kudaybergenov, Karimbergen 2 2024 One-generated nilpotent assosymmetric algebras. Zbl 1497.17002 Mashurov, Farukh; Kaygorodov, Ivan 2 2022 Degenerations of noncommutative Heisenberg algebras. Zbl 07719903 Kaygorodov, Ivan; Volkov, Yury 1 2023 Commentary to: “Generalized derivations of Lie triple systems”. Zbl 1405.17005 Kaygorodov, Ivan; Popov, Yury 1 2016 Identities of sum of two PI-algebras in the case of positive characteristic. Zbl 1346.16015 Kaygorodov, Ivan; Lopatin, Artem A.; Popov, Yury 1 2015 Jordan delta-derivations of associative algebras. Zbl 1371.16026 Kaygorodov, Ivan 1 2015 Transposed Poisson structures on solvable and perfect Lie algebras. Zbl 07796339 Kaygorodov, Ivan; Khudoyberdiyev, Abror 1 2024 The geometric classification of nilpotent commutative \(\mathfrak{CD}\)-algebras. Zbl 1505.17002 Jumaniyozov, Doston; Kaygorodov, Ivan; Khudoyberdiyev, Abror 1 2022 Transposed Poisson structures. Zbl 07812537 Beites, Patrícia Damas; Ferreira, Bruno Leonardo Macedo; Kaygorodov, Ivan 2 2024 Local and 2-local derivations of simple \(n\)-ary algebras. Zbl 07818700 Ferreira, Bruno Leonardo Macedo; Kaygorodov, Ivan; Kudaybergenov, Karimbergen 2 2024 Transposed Poisson structures on solvable and perfect Lie algebras. Zbl 07796339 Kaygorodov, Ivan; Khudoyberdiyev, Abror 1 2024 Non-associative algebraic structures: classification and structure. Zbl 07900715 Kaygorodov, Ivan 1 2024 Transposed Poisson structures on Block Lie algebras and superalgebras. Zbl 1516.17002 Kaygorodov, Ivan; Khrypchenko, Mykola 12 2023 Transposed Poisson structures on Galilean and solvable Lie algebras. Zbl 1528.17018 Kaygorodov, Ivan; Lopatkin, Viktor; Zhang, Zerui 11 2023 The algebraic and geometric classification of transposed Poisson algebras. Zbl 1507.17003 Beites, Patrícia Damas; Fernández Ouaridi, Amir; Kaygorodov, Ivan 10 2023 Transposed Poisson structures on Witt type algebras. Zbl 1526.17039 Kaygorodov, Ivan; Khrypchenko, Mykola 10 2023 Central extensions of 3-dimensional Zinbiel algebras. Zbl 1537.17006 Kaygorodov, Ivan; Alvarez, María Alejandra; Castilho de Mello, Thiago 7 2023 Transposed Poisson structures on generalized Witt algebras and Block Lie algebras. Zbl 1535.17003 Kaygorodov, Ivan; Khrypchenko, Mykola 6 2023 The geometric classification of nilpotent algebras. Zbl 1533.17001 Kaygorodov, Ivan; Khrypchenko, Mykola; Lopes, Samuel A. 2 2023 Symmetric Zinbiel superalgebras. Zbl 1523.17003 Benayadi, Saïd; Kaygorodov, Ivan; Mhamdi, Fahmi 2 2023 Degenerations of noncommutative Heisenberg algebras. Zbl 07719903 Kaygorodov, Ivan; Volkov, Yury 1 2023 Degenerations of nilpotent algebras. Zbl 1486.17001 Fernández Ouaridi, Amir; Kaygorodov, Ivan; Khrypchenko, Mykola; Volkov, Yury 25 2022 On the classification of bilinear maps with radical of a fixed codimension. Zbl 1503.15033 Calderón, Antonio Jesús; Fernández Ouaridi, Amir; Kaygorodov, Ivan 11 2022 The geometric classification of 2-step nilpotent algebras and applications. Zbl 1521.17003 Ignatyev, Mikhail; Kaygorodov, Ivan; Popov, Yury 9 2022 Central extensions of filiform Zinbiel algebras. Zbl 1493.17004 Camacho, Luisa M.; Karimjanov, Iqboljon; Kaygorodov, Ivan; Khudoyberdiyev, Abror 8 2022 One-generated nilpotent Novikov algebras. Zbl 1493.17003 Camacho, Luisa M.; Karimjanov, Iqboljon; Kaygorodov, Ivan; Khudoyberdiyev, Abror 6 2022 Commuting maps on alternative rings. Zbl 1497.17042 Ferreira, Bruno Leonardo Macedo; Kaygorodov, Ivan 5 2022 The algebraic and geometric classification of Zinbiel algebras. Zbl 1506.17001 Alvarez, María Alejandra; Fehlberg Júnior, Renato; Kaygorodov, Ivan 5 2022 Corrigendum to: “Degenerations of Zinbiel and nilpotent Leibniz algebras”. Zbl 1482.17061 Kaygorodov, Ivan; Popov, Yury; Pozhidaev, Alexandre; Volkov, Yury 4 2022 One-generated nilpotent bicommutative algebras. Zbl 1525.17001 Kaygorodov, Ivan; Páez-Guillán, Pilar; Voronin, Vasily 3 2022 The algebraic and geometric classification of antiassociative algebras. Zbl 1497.17001 Fehlberg Júnior, Renato; Kaygorodov, Ivan; Kuster, Crislaine 3 2022 Local derivations of semisimple Leibniz algebras. Zbl 07897664 Kaygorodov, Ivan; Kudaybergenov, Karimbergen; Yuldashev, Inomjon 3 2022 On the Kantor product. II. Zbl 1528.17001 Fehlberg Júnior, R.; Kaygorodov, I. 2 2022 One-generated nilpotent assosymmetric algebras. Zbl 1497.17002 Mashurov, Farukh; Kaygorodov, Ivan 2 2022 The geometric classification of nilpotent commutative \(\mathfrak{CD}\)-algebras. Zbl 1505.17002 Jumaniyozov, Doston; Kaygorodov, Ivan; Khudoyberdiyev, Abror 1 2022 The algebraic and geometric classification of nilpotent right alternative algebras. Zbl 1524.17014 Ismailov, Nurla; Kaygorodov, Ivan; Mustafa, Manat 1 2022 The algebraic classification of nilpotent \(\mathfrak{CD}\)-algebras. Zbl 1529.17004 Kaygorodov, Ivan; Khrypchenko, Mykola 1 2022 The algebraic classification of nilpotent algebras. Zbl 1507.17004 Kaygorodov, Ivan; Khrypchenko, Mykola; Lopes, Samuel A. 1 2022 The algebraic and geometric classification of nilpotent assosymmetric algebras. Zbl 1502.17003 Ismailov, Nurlan; Kaygorodov, Ivan; Mashurov, Farukh 20 2021 The algebraic and geometric classification of nilpotent terminal algebras. Zbl 1471.17005 Kaygorodov, Ivan; Khrypchenko, Mykola; Popov, Yury 19 2021 \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras. Zbl 1507.17037 Ferreira, Bruno Leonardo Macedo; Kaygorodov, Ivan; Lopatkin, Viktor 15 2021 Poisson structures on finitary incidence algebras. Zbl 1481.17031 Kaygorodov, Ivan; Khrypchenko, Mykola 15 2021 The algebraic and geometric classification of nilpotent noncommutative Jordan algebras. Zbl 1514.17003 Jumaniyozov, Doston; Kaygorodov, Ivan; Khudoyberdiyev, Abror 10 2021 Central extensions of filiform associative algebras. Zbl 1465.16026 Karimjanov, Iqboljon; Kaygorodov, Ivan; Ladra, Manuel 9 2021 The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras. Zbl 1483.17004 Alvarez, María Alejandra; Kaygorodov, Ivan 8 2021 Degenerations of Jordan algebras and “marginal” algebras. Zbl 1478.17031 Gorshkov, Ilya; Kaygorodov, Ivan; Popov, Yury 8 2021 The algebraic classification of nilpotent commutative \(\mathfrak{CD}\)-algebras. Zbl 1483.17003 Jumaniyozov, Doston; Kaygorodov, Ivan; Khudoyberdiyev, Abror 7 2021 On anticommutative algebras for which \([R_a,R_b]\) is a derivation. Zbl 1505.17004 Kaygorodov, Ivan; Zusmanovich, Pasha 4 2021 Lie maps on alternative rings preserving idempotents. Zbl 1485.17033 Ferreira, Bruno Leonardo Macedo; Guzzo, Henrique jun.; Kaygorodov, Ivan 4 2021 The algebraic and geometric classification of nilpotent right commutative algebras. Zbl 1491.17021 Adashev, Jobir; Kaygorodov, Ivan; Khudoyberdiyev, Abror; Sattarov, Aloberdi 3 2021 The geometric classification of nilpotent \(\mathfrak{CD} \)-algebras. Zbl 1505.17003 Kaygorodov, Ivan; Khrypchenko, Mykola 3 2021 The algebraic classification of nilpotent commutative algebras. Zbl 1511.17007 Jumaniyozov, Doston; Kaygorodov, Ivan; Khudoyberdiyev, Abror 2 2021 The algebraic and geometric classification of nilpotent left-symmetric algebras. Zbl 1497.17045 Adashev, Jobir; Kaygorodov, Ivan; Khudoyberdiyev, Abror; Sattarov, Aloberdi 2 2021 Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras. Zbl 1482.17002 Calderón, Antonio Jesús; Camacho, Luisa María; Kaygorodov, Ivan; Omirov, Bakhrom 2 2021 The algebraic and geometric classification of nilpotent anticommutative algebras. Zbl 1460.17047 Kaygorodov, Ivan; Khrypchenko, Mykola; Lopes, Samuel A. 32 2020 The algebraic and geometric classification of nilpotent bicommutative algebras. Zbl 1487.17003 Kaygorodov, Ivan; Páez-Guillán, Pilar; Voronin, Vasily 29 2020 The classification of 2-dimensional rigid algebras. Zbl 1471.17002 Calderón, Antonio Jesús; Fernández Ouaridi, Amir; Kaygorodov, Ivan 28 2020 The variety of dual mock-Lie algebras. Zbl 1490.17003 Camacho, Luisa M.; Kaygorodov, Ivan; Lopatkin, Viktor; Salim, Mohamed A. 21 2020 The geometric classification of nilpotent Tortkara algebras. Zbl 1508.17001 Gorshkov, Ilya; Kaygorodov, Ivan; Khrypchenko, Mykola 20 2020 Non-associative central extensions of null-filiform associative algebras. Zbl 1452.16001 Kaygorodov, Ivan; Lopes, Samuel A.; Páez-Guillán, Pilar 18 2020 The algebraic classification of nilpotent Tortkara algebras. Zbl 1462.17002 Gorshkov, Ilya; Kaygorodov, Ivan; Khrypchenko, Mykola 16 2020 Generalized derivations of \(n\)-BiHom-Lie algebras. Zbl 1485.17014 Ben Abdeljelil, Amine; Elhamdadi, Mohamed; Kaygorodov, Ivan; Makhlouf, Abdenacer 14 2020 Degenerations of Filippov algebras. Zbl 1471.17012 Kaygorodov, Ivan; Volkov, Yury 14 2020 The algebraic classification of nilpotent associative commutative algebras. Zbl 1460.16007 Kaygorodov, Ivan; Rakhimov, Isamiddin; Said Husain, Sh. K. 12 2020 Degenerations of nilpotent associative commutative algebras. Zbl 1453.17004 Kaygorodov, Ivan; Lopes, Samuel A.; Popov, Yury 10 2020 Rota-type operators on null-filiform associative algebras. Zbl 1464.16039 Karimjanov, Iqboljon; Kaygorodov, Ivan; Ladra, Manuel 9 2020 Some cohomologically rigid solvable Leibniz algebras. Zbl 1450.17002 Camacho, Luisa M.; Kaygorodov, Ivan; Omirov, Bakhrom; Solijanova, Gulkhayo 7 2020 One-generated nilpotent terminal algebras. Zbl 1471.17006 Kaygorodov, Ivan; Khudoyberdiyev, Abror; Sattarov, Aloberdi 7 2020 On Thompson’s conjecture for finite simple exceptional groups of Lie type. Zbl 1484.20018 Gorshkov, I. B.; Kaygorodov, I. B.; Kukharev, A. V.; Shlepkin, A. A. 1 2020 The variety of two-dimensional algebras over an algebraically closed field. Zbl 1440.17027 Kaygorodov, Ivan; Volkov, Yury 46 2019 The algebraic and geometric classification of nilpotent binary Lie algebras. Zbl 1473.17086 Abdelwahab, Hani; Calderón, Antonio Jesús; Kaygorodov, Ivan 33 2019 The algebraic and geometric classification of nilpotent Novikov algebras. Zbl 1460.17049 Karimjanov, Iqboljon; Kaygorodov, Ivan; Khudoyberdiyev, Abror 29 2019 Degenerations of Leibniz and anticommutative algebras. Zbl 1477.17020 Ismailov, Nurlan; Kaygorodov, Ivan; Volkov, Yury 27 2019 The classification of \(n\)-dimensional anticommutative algebras with \((n-3)\)-dimensional annihilator. Zbl 1460.17008 Calderón, Antonio Jesús; Fernández Ouaridi, Amir; Kaygorodov, Ivan 25 2019 Complete classification of algebras of level two. Zbl 1461.17002 Kaygorodov, Ivan; Volkov, Yury 22 2019 Degenerations of Jordan superalgebras. Zbl 1477.17096 Alvarez, María Alejandra; Hernández, Isabel; Kaygorodov, Ivan 13 2019 The variety of nilpotent Tortkara algebras. Zbl 1462.17001 Gorshkov, Ilya B.; Kaygorodov, Ivan; Kytmanov, Alexey A.; Salim, Mohamed A. 13 2019 Higher derivations of finitary incidence algebras. Zbl 1456.16026 Kaygorodov, Ivan; Khrypchenko, Mykola; Wei, Feng 13 2019 Generalized derivations of multiplicative \(n\)-ary \(\operatorname{Hom}\text{-}\Omega\) color algebras. Zbl 1464.17007 Beites, P. D.; Kaygorodov, Ivan; Popov, Yury 12 2019 On a ternary generalization of Jordan algebras. Zbl 1465.17007 Kaygorodov, Ivan; Pozhidaev, Alexander; Saraiva, Paulo 10 2019 The universal conservative superalgebra. Zbl 1475.17001 Kaygorodov, Ivan; Popov, Yury; Pozhidaev, Alexandr 5 2019 \(k\)-modules over linear spaces by \(n\)-linear maps admitting a multiplicative basis. Zbl 1447.17007 Barreiro, Elisabete; Kaygorodov, Ivan; Sánchez, José M. 4 2019 Split regular Hom-Leibniz color 3-algebras. Zbl 1477.17046 Kaygorodov, Ivan; Popov, Yury 4 2019 Decompositions of linear spaces induced by \(n\)-linear maps. Zbl 1411.15004 Calderón, Antonio Jesús; Kaygorodov, Ivan; Saraiva, Paulo 4 2019 \(n\)-ary generalized Lie-type color algebras admitting a quasi-multiplicative basis. Zbl 1461.17007 Barreiro, Elisabete; Calderón, Antonio Jesús; Kaygorodov, Ivan; Sánchez, José María 3 2019 When the group ring of a finite simple group is serial. Zbl 1428.16004 Kukharev, A.; Kaygorodov, I.; Gorshkov, I. 1 2019 Degenerations of Zinbiel and nilpotent Leibniz algebras. Zbl 1472.17100 Kaygorodov, Ivan; Popov, Yury; Pozhidaev, Alexandre; Volkov, Yury 42 2018 The geometric classification of Leibniz algebras. Zbl 1423.17005 Ismailov, Nurlan; Kaygorodov, Ivan; Volkov, Yury 35 2018 Degenerations of binary Lie and nilpotent Malcev algebras. Zbl 1441.17027 Kaygorodov, Ivan; Popov, Yury; Volkov, Yury 32 2018 Free generic Poisson fields and algebras. Zbl 1434.17027 Kaygorodov, Ivan; Shestakov, Ivan; Umirbaev, Ualbai 16 2018 Separating invariants for \(2 \times 2\) matrices. Zbl 1397.16019 Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury 9 2018 The structure of simple noncommutative Jordan superalgebras. Zbl 1434.17036 Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury 3 2018 Jordan algebras admitting derivations with invertible values. Zbl 1429.17030 Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury 3 2018 Conservative algebras of 2-dimensional algebras. II. Zbl 1427.17003 Kaygorodov, Ivan; Volkov, Yury 8 2017 Algebras of Jordan brackets and generalized Poisson algebras. Zbl 1418.17071 Kaygorodov, Ivan 7 2017 On the Kantor product. Zbl 1419.17002 Kaygorodov, Ivan 6 2017 Generalized derivations of (color) \(n\)-ary algebras. Zbl 1370.17006 Kaygorodov, Ivan; Popov, Yury 18 2016 A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations. Zbl 1335.17002 Kaygorodov, Ivan; Popov, Yu. 17 2016 Commentary to: “Generalized derivations of Lie triple systems”. Zbl 1405.17005 Kaygorodov, Ivan; Popov, Yury 1 2016 Conservative algebras of 2-dimensional algebras. Zbl 1321.17002 Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury 11 2015 Identities of sum of two PI-algebras in the case of positive characteristic. Zbl 1346.16015 Kaygorodov, Ivan; Lopatin, Artem A.; Popov, Yury 1 2015 Jordan delta-derivations of associative algebras. Zbl 1371.16026 Kaygorodov, Ivan 1 2015 On \((n+1)\)-ary derivations of simple \(n\)-ary Mal’tsev algebras. Zbl 1380.17025 Kaĭgorodov, I. B. 16 2014 Alternative algebras admitting derivations with invertible values and invertible derivations. Zbl 1315.17025 Kaygorodov, I. B.; Popov, Yu S. 16 2014 \((n+1)\)-ary derivations of semisimple Filippov algebras. Zbl 1315.17002 Kaĭgorodov, I. B. 16 2014 \(\delta\)-derivations of semisimple finite-dimensional structurable algebras. Zbl 1316.17001 Kaygorodov, Ivan; Okhapkina, Elizaveta 4 2014 On generalized \(\delta\)-derivations. Zbl 1327.17003 Kaygorodov, I. B. 1 2013 \(\delta\)-superderivations of semisimple finite-dimensional Jordan superalgebras. Zbl 1376.17043 Kaĭgorodov, I. B. 15 2012 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 241 Authors 94 Kaygorodov, Ivan 18 Popov, Yury 17 Khrypchenko, Mykola S. 16 Khudoyberdiyev, Abror Kh. 14 Calderón Martín, Antonio Jesús 13 Silvestrov, Sergei D. 13 Volkov, Yuriĭ S. 11 Fernández Ouaridi, Amir 11 Ferreira, Bruno Leonardo Macedo 10 Alvarez, María Alejandra 8 Lopatin, Artem A. 7 Karimjanov, Ikboljon Abdulazizovich 7 Mabrouk, Sami 6 Camacho, Luisa Maria 6 Cho, Ilwoo 6 Ismailov, Nurlan A. 6 Lopes, Samuel A. 5 Abdelwahab, Hani 5 Adashev, Jobir Q. 5 Barreiro, Elisabete 5 Mashurov, Farukh A. 5 Wei, Feng 5 Zusmanovich, Pasha 4 Bai, Chengming 4 Gorshkov, Il’ya Borisovich 4 Guo, Li 4 Jumaniyozov, Doston 4 Kitouni, Abdennour 4 Laraiedh, Ismail 4 Pozhidaev, Aleksandr Petrovich 4 Rakhimov, Isamiddin Sattarovich 3 Ahmed, Houida 3 Arzikulov, Farhodjon Nematjonovich 3 Beites, Patrícia Damas 3 Bekbaev, Ural Dj. 3 Ben Hassine, Abdelkader 3 Gao, Xing 3 Hernández, Isabel 3 Lopatkin, Viktor 3 Ncib, Othmen 3 Sattarov, Aloberdi 3 Shestakov, Alekseĭ Ivanovich 3 Xiao, Zhankui 3 Yang, Yuping 2 Abdurasulov, Kobiljon K. 2 Anza, Yerko 2 Bakayoko, Ibrahima 2 Ceballos, Manuel 2 Chen, Lizhen 2 Domokos, Mátyás 2 Drensky, Vesselin 2 Fehlberg Júnior, Renato 2 Ferreira, Ruth Nascimento 2 Gaye, Babacar 2 Guzzo, Henrique jun. 2 Jørgensen, Palle E. T. 2 Khalili, Valiollah 2 Konyaev, Andreĭ Yu. 2 La Rosa, Gianmarco 2 Ladra González, Manuel 2 Liu, Guilai 2 Makhlouf, Abdenacer 2 Mancini, Manuel 2 Mustafa, Manat 2 Navarro Izquierdo, Francisco J. 2 Omirov, Bakhrom A. 2 Páez-Guillán, Pilar 2 Reimers, Fabian 2 Saeedi, Farshid 2 Saha, Ripan 2 Salim, Mohamed Ahmed M. 2 Sánchez Delgado, José María 2 Saraiva, Paulo 2 Sheng, Yunhe 2 Towers, David A. 2 Yusupov, Bakhtiyor 2 Zargeh, Chia 2 Zhang, Zerui 2 Zhelyabin, Viktor Nikolaevich 1 Abdallah, Nancy 1 Abdaoui, Elkadri 1 Abdaoui, Kadri 1 Abdelwanis, Ahmed Yunis 1 Abdujabborov, N. G. 1 Aboubakr, Ahmed 1 Abramov, Viktor 1 Agore, Ana-Loredana 1 Ahmed, Yaqoub 1 Al-Rawashdeh, Ahmad Saleh 1 Alfaro Arancibia, B. 1 Arfa, Anja 1 Arutyunov, Andronick Aramovich 1 Asif, Sania 1 Bai, Ruipu 1 Bai, Yuxiu 1 Baklouti, Amir 1 Benali, Karima 1 Benayadi, Saïd 1 Blum-Smith, Ben 1 Bolsinov, Alexey V. ...and 141 more Authors all top 5 Cited in 82 Serials 30 Communications in Algebra 22 Linear and Multilinear Algebra 18 Journal of Algebra 12 Communications in Mathematics 11 Linear Algebra and its Applications 11 Journal of Algebra and its Applications 9 Journal of Pure and Applied Algebra 7 Algebras and Representation Theory 6 Journal of Geometry and Physics 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Mediterranean Journal of Mathematics 4 Results in Mathematics 4 Advances in Applied Clifford Algebras 4 Open Mathematics 3 Rocky Mountain Journal of Mathematics 3 Algebra and Logic 3 Ricerche di Matematica 3 Bulletin of the Iranian Mathematical Society 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Mathematical Notes 2 Siberian Mathematical Journal 2 International Journal of Algebra and Computation 2 St. Petersburg Mathematical Journal 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Operators and Matrices 2 Asian-European Journal of Mathematics 2 São Paulo Journal of Mathematical Sciences 2 Advances in Group Theory and Applications 2 Bollettino dell’Unione Matematica Italiana 2 Electronic Research Archive 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Beiträge zur Algebra und Geometrie 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Proceedings of the American Mathematical Society 1 Journal of Symbolic Computation 1 Extracta Mathematicae 1 Forum Mathematicum 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Russian Mathematics 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal 1 Filomat 1 Finite Fields and their Applications 1 The New York Journal of Mathematics 1 Journal of Lie Theory 1 Revista Matemática Complutense 1 Communications in Contemporary Mathematics 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Lobachevskii Journal of Mathematics 1 Journal of Nonlinear Mathematical Physics 1 Boletim da Sociedade Paranaense de Matemática. 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Mathematics & Physics 1 Ural Mathematical Journal 1 Portugaliae Mathematica all top 5 Cited in 21 Fields 204 Nonassociative rings and algebras (17-XX) 57 Associative rings and algebras (16-XX) 25 Algebraic geometry (14-XX) 16 Commutative algebra (13-XX) 15 Operator theory (47-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 11 Group theory and generalizations (20-XX) 8 Functional analysis (46-XX) 6 Combinatorics (05-XX) 6 Differential geometry (53-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 Number theory (11-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 General algebraic systems (08-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year