The classification of 2-dimensional rigid algebras
Antonio Jesús CalderónUniversidad de Cádiz. Puerto Real, Cádiz, EspañaAmir Fernández OuaridiUniversidad de Cádiz. Puerto Real, Cádiz, EspañaIvan KaygorodovCMCC, Universidade Federal do ABC, Santo André, Brasil
2018en
ABI
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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