Classifies noncommutative affine pencils of conics in relation to four-dimensional Frobenius algebras, suggesting a deep connection.
In this paper, we define and study noncommutative affine pencils of conics, and give a complete classification result. We also fully classify four-dimensional Frobenius algebras. It turns out that the classification of noncommutative affine pencils of conics is the same as the classification of four-dimensional Frobenius algebras.
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Hu et al. (2026) studied this question.
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