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arXiv · 2307.01478

A Classification of 2-dimensional endo-commutative straight algebras of type I

Sin-Ei Takahasi·Kiyoshi Shirayanagi·Makoto Tsukada
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Abstract

In this paper, we provide a complete classification of 2-dimensional endo-commutative straight algebras of type I over any field. An endo-commutative algebra is a non-associative algebra in which the square mapping preserves multiplication. Type I denotes a distinguishing characteristic of its structure matrix of rank 2. We list all multiplication tables of these algebras up to isomorphism.

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Sin-Ei Takahasi, Kiyoshi Shirayanagi, Makoto Tsukada. 2023-07-04. A Classification of 2-dimensional endo-commutative straight algebras of type I. https://arxiv.org/abs/2307.01478

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