Classification in a rotational flow of two-dimensional algebras
Commutative Algebra
2024-01-22 v3
Abstract
In this paper, we examine a time-dependent family of two-dimensional algebras. We investigate the conditions under which any two algebras from this family, formed at different times, are isomorphic. Our findings reveal that the flow comprises of uncountable pairwise non-isomorphic algebras, including one commutative algebra. Additionally, we compare our results with a previously established classification of 2-dimensional real algebras.
Cite
@article{arxiv.2204.13910,
title = {Classification in a rotational flow of two-dimensional algebras},
author = {U. A. Rozikov and M. V. Velasco and B. A. Narkuziev},
journal= {arXiv preprint arXiv:2204.13910},
year = {2024}
}