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On commutative isotopes of Jordan algebra of a symmetric bilinear nondegenerate form on a two-dimensional vector space

On commutative isotopes of Jordan algebra of a symmetric bilinear nondegenerate form on a two-dimensional vector space

来源:Arxiv_logoArxiv
英文摘要

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.

Vita Glizburg、Sergey Pchelintsev

数学

Vita Glizburg,Sergey Pchelintsev.On commutative isotopes of Jordan algebra of a symmetric bilinear nondegenerate form on a two-dimensional vector space[EB/OL].(2025-04-01)[2025-04-28].https://arxiv.org/abs/2504.00868.点此复制

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