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Algebraic Structures on Two-Dimensional Vector Space Over Any Basic Field

I. S. RakhimovV.I. Romanovsky Institute of Mathematics of the Academy of Sciences of Uzbekistan
2024en
ABI

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In the paper we utilize a new approach to the classification problem of finite-dimensional algebras. We give a complete classifications of associative and diassociative algebra structures on two-dimensional vector space over any basic field.

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