Canonical Form Algorithm and Separating Systems for Two-Dimensional Algebras
H. AhmedUral BekbaevV.I. Romanovski Institute of Mathematics, Uzbekistan Academy of Sciences, UzbekistanI. S. Rakhimov
Ochiq kirishBronza
ABI
Annotatsiya
For a field F, where any polynomial of degree two and three possess a root, we give an algorithm transforming any two-dimensional algebra over F to a "canonical form" in terms of structure constants of the algebra. A system of invariant conditions in form of equalities and non-equalities (inequalities) separating non-isomorphic two-dimensional algebras is given.
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