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arXiv · 1810.01636

The classification of $2$-dimensional rigid algebras

Antonio Jesús Calderón·Amir Fernández Ouaridi·Ivan Kaygorodov
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Abstract

Using the algebraic classification of all $2$-dimensional algebras, we give the algebraic classification of all $2$-dimensional rigid, conservative and terminal algebras over an algebraically closed field of characteristic 0. We have the geometric classification of the variety of $2$-dimensional terminal algebras, and based on the geometric classification of these algebras we formulate some open problems.

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Antonio Jesús Calderón, Amir Fernández Ouaridi, Ivan Kaygorodov. 2018-10-03. The classification of $2$-dimensional rigid algebras. https://doi.org/10.1080/03081087.2018.1519009

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