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Linear and Multilinear Algebra Volume 67, 2019 - Issue 6
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Original Articles

On a ternary generalization of Jordan algebras

Ivan KaygorodovCMCC, Universidade Federal do ABC, Santo Andre, Brazil.Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-2084-9215View further author information
ORCID Icon,
Alexander PozhidaevNovosibirsk State University, Novosibrsk, Russia.;Sobolev Institute of Mathematics, Novosibirsk, Russia.View further author information
&
Paulo SaraivaCMUC e FEUC, CeBER, Universidade de Coimbra, Coimbra, Portugal.ORCID Iconhttp://orcid.org/0000-0002-2856-5033View further author information
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Pages 1074-1102 | Received 21 Oct 2017, Accepted 18 Feb 2018, Published online: 05 Mar 2018

Citations (10)

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Read on this site (4)

Anja Arfa, Abdelkader Ben Hassine & Sami Mabrouk. (2022) Ternary Hom-Jordan algebras induced by Hom-Jordan algebras. Linear and Multilinear Algebra 70:19, pages 3944-3968.
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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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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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Antonio Jesús Calderón, Ivan Kaygorodov & Paulo Saraiva. (2019) Decompositions of linear spaces induced by n-linear maps. Linear and Multilinear Algebra 67:6, pages 1250-1268.
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Articles from other publishers (6)

Nelson Martins-Ferreira & Rui A. P. Perdigão. (2024) Towards a Generalized Cayley–Dickson Construction through Involutive Dimagmas. Mathematics 12:7, pages 996.
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Taoufik Chtioui, Atef Hajjaji & Sami Mabrouk. (2022) 𝒪-operators of ternary Jordan algebras and ternary Jordan Yang–Baxter equations. Asian-European Journal of Mathematics 16:02.
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Doston Jumaniyozov, Ivan Kaygorodov & Abror Khudoyberdiyev. (2022) The geometric classification of nilpotent commutative $$\mathfrak {CD}$$-algebras. Bollettino dell'Unione Matematica Italiana 15:3, pages 465-481.
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Ivan Kaygorodov & Mykola Khrypchenko. (2020) The geometric classification of nilpotent ℭ𝔇-algebras. Journal of Algebra and Its Applications 20:11.
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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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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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