Abstract:The classification of three-dimensional zeropotent algebras over an arbitrary field is given. It is complete up to the individual properties of the ground field.
In the article, we perform a classification of algebras with dimensions $\leq$ 3 and with the property that each element is colinear with its square. The classification is complete up to properties of the ground field.
In the article, we perform a classification of algebras with dimensions $\leq$ 3 and with the property that each element is colinear with its square. The classification is complete up to properties of the ground field.
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