English

The classification of $2$-dimensional rigid algebras

Rings and Algebras 2018-10-04 v1

Abstract

Using the algebraic classification of all 22-dimensional algebras, we give the algebraic classification of all 22-dimensional rigid, conservative and terminal algebras over an algebraically closed field of characteristic 0. We have the geometric classification of the variety of 22-dimensional terminal algebras, and based on the geometric classification of these algebras we formulate some open problems.

Keywords

Cite

@article{arxiv.1810.01636,
  title  = {The classification of $2$-dimensional rigid algebras},
  author = {Antonio Jesús Calderón and Amir Fernández Ouaridi and Ivan Kaygorodov},
  journal= {arXiv preprint arXiv:1810.01636},
  year   = {2018}
}
R2 v1 2026-06-23T04:26:54.707Z