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On commutative isotopes of Jordan algebra of a symmetric bilinear nondegenerate form on a two-dimensional vector space (2504.00868v1)
Published 1 Apr 2025 in math.RA
Abstract: In the article we study the simple unital communitative three-dimensional algebras over an algebraically closed field of characteristic not equal to 2. It is proved that every simple unital communitative three-dimensional algebra of nil-rank 2 is isotopic to Jordan algebra of a symmetric bilinear nondegenerate form on a two-dimensional vector space.
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