Classification of three-dimensional isopotent algebras

Authors : Anton CEDILNIK

Pages : 226-246

Doi:10.24330/ieja.1217445

View : 35 | Download : 12

Publication Date : 2023-01-09

Article Type : Research Paper

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.
Keywords : Non associative algebra, multiplication table, classification, isopotent, excess, three dimensional, zeropotent, isoproduct

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