COMPLETE CLASSIFICATION OF TWO-DIMENSIONAL ALGEBRAS OVER THE FIELD OF RATIONAL NUMBERS
Keywords:
algebra, group, homomorphism, isomorphism, matrix of structure constantsAbstract
A full classification, up to isomorphism, of two-dimensional algebras over the field of rational numbers is presented. The provided in this paper method can be successfully used to classify two-dimensional algebras over the quotient field of any factorial ring as well.
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