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Communications in Algebra Volume 47, 2019 - Issue 1
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Original Articles

The classification of n-dimensional anticommutative algebras with (n − 3)-dimensional annihilator

Antonio Jesús CalderónUniversidad de Cádiz, Cádiz, Spain; View further author information
,
Amir Fernández OuaridiUniversidad de Cádiz, Cádiz, Spain; View further author information
&
Ivan KaygorodovCMCC, Universidade Federal do ABC, Santo André, BrazilCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-2084-9215View further author information
ORCID Icon
Pages 173-181 | Received 03 Apr 2018, Accepted 10 Apr 2018, Published online: 11 Dec 2018

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Ivan Kaygorodov & Mykola Khrypchenko. (2022) The algebraic classification of nilpotent ℭ𝔇-algebras. Linear and Multilinear Algebra 70:19, pages 3840-3886.
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Antonio Jesús Calderón, Amir Fernández Ouaridi & Ivan Kaygorodov. (2022) On the classification of bilinear maps with radical of a fixed codimension. Linear and Multilinear Algebra 70:18, pages 3553-3576.
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Luisa M. Camacho, Iqboljon Karimjanov, Ivan Kaygorodov & Abror Khudoyberdiyev. (2022) Central extensions of filiform Zinbiel algebras. Linear and Multilinear Algebra 70:8, pages 1479-1495.
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Luisa M. Camacho, Iqboljon Karimjanov, Ivan Kaygorodov & Abror Khudoyberdiyev. (2022) One-generated nilpotent Novikov algebras. Linear and Multilinear Algebra 70:2, pages 331-365.
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Iqboljon Karimjanov, Ivan Kaygorodov & Manuel Ladra. (2021) Central extensions of filiform associative algebras. Linear and Multilinear Algebra 69:6, pages 1083-1101.
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Doston Jumaniyozov, Ivan Kaygorodov & Abror Khudoyberdiyev. (2021) The algebraic classification of nilpotent commutative -algebras. Communications in Algebra 49:4, pages 1464-1494.
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Ilya Gorshkov, Ivan Kaygorodov & Mykola Khrypchenko. (2020) The algebraic classification of nilpotent Tortkara algebras. Communications in Algebra 48:8, pages 3608-3623.
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Articles from other publishers (15)

Hani Abdelwahab, Elisabete Barreiro, Antonio J. Calderón & Amir Fernández Ouaridi. (2023) The algebraic classification and degenerations of nilpotent Poisson algebras. Journal of Algebra 615, pages 243-277.
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Hani Abdelwahab, Elisabete Barreiro, Antonio J. Calderón & Amir Fernández Ouaridi. (2022) The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 117:1.
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Hani Abdelwahab, Elisabete Barreiro, Antonio J. Calderón & Amir Fernández Ouaridi. (2022) The classification of nilpotent Lie-Yamaguti algebras. Linear Algebra and its Applications 654, pages 339-378.
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Amir Fernández Ouaridi, Ivan Kaygorodov, Mykola Khrypchenko & Yury Volkov. (2022) Degenerations of nilpotent algebras. Journal of Pure and Applied Algebra 226:3, pages 106850.
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Farukh Mashurov & Ivan Kaygorodov. (2020) One-generated nilpotent assosymmetric algebras. Journal of Algebra and Its Applications 21:02.
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Ivan Kaygorodov, María Alejandra Alvarez & Thiago Castilho de Mello. (2021) Central extensions of 3-dimensional Zinbiel algebras. Ricerche di Matematica.
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Nurlan Ismailov, Ivan Kaygorodov & Farukh Mashurov. (2020) The Algebraic and Geometric Classification of Nilpotent Assosymmetric Algebras. Algebras and Representation Theory 24:1, pages 135-148.
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Ivan Kaygorodov, Pilar Páez-Guillán & Vasily Voronin. (2020) The Algebraic and Geometric Classification of Nilpotent Bicommutative Algebras. Algebras and Representation Theory 23:6, pages 2331-2347.
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Ivan Kaygorodov, Isamiddin Rakhimov & Sh. K. Said Husain. (2019) The algebraic classification of nilpotent associative commutative algebras. Journal of Algebra and Its Applications 19:11, pages 2050220.
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Hani Abdelwahab, Antonio J. Calderón Martín & Amir Fernández Ouaridi. (2020) Central extensions of 4-dimensional binary Lie algebras. Rocky Mountain Journal of Mathematics 50:5.
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Ivan Kaygorodov, Samuel A. Lopes & Pilar Páez-Guillán. (2020) Non-associative central extensions of null-filiform associative algebras. Journal of Algebra 560, pages 1190-1210.
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Ivan Kaygorodov, Mykola Khrypchenko & Samuel A. Lopes. (2020) The algebraic and geometric classification of nilpotent anticommutative algebras. Journal of Pure and Applied Algebra 224:8, pages 106337.
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Nurlan Ismailov, Ivan Kaygorodov & Yury Volkov. (2019) Degenerations of Leibniz and Anticommutative Algebras. Canadian Mathematical Bulletin 62:3, pages 539-549.
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Hani Abdelwahab, Antonio Jesús Calderón & Ivan Kaygorodov. (2019) The algebraic and geometric classification of nilpotent binary Lie algebras. International Journal of Algebra and Computation 29:06, pages 1113-1129.
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Iqboljon Karimjanov, Ivan Kaygorodov & Abror Khudoyberdiyev. (2019) The algebraic and geometric classification of nilpotent Novikov algebras. Journal of Geometry and Physics 143, pages 11-21.
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