Dergiler / International Electronic Journal of Algebra / 2023 / Cilt: 33 - Sayı: 33

Classification of three-dimensional isopotent algebras

Classification of three-dimensional isopotent algebras

Anton CEDILNIK

Sayfa
226–246
DOI
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Abstract

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.

Anahtar kelimeler: Non-associative algebra, multiplication table, classification, isopotent, excess, three-dimensional, zeropotent, isoproduct