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arXiv · 1803.07698

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

Antonio Jesús Calderón·Amir Fernández Ouaridi·Ivan Kaygorodov
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Abstract

We give the classification of all $n$-dimensional anticommutative complex algebras with $(n-3)$-dimensional annihilator. Namely, we describe all central extensions of all $3$-dimensional anticommutative complex algebras.

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Antonio Jesús Calderón, Amir Fernández Ouaridi, Ivan Kaygorodov. 2018-03-21. The classification of $n$-dimensional anticommutative algebras with $(n-3)$-dimensional annihilator. https://doi.org/10.1080/00927872.2018.1468909

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