A Classification of 2-dimensional endo-commutative straight algebras of type I
Rings and Algebras
2023-07-06 v1
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.
Keywords
Cite
@article{arxiv.2307.01478,
title = {A Classification of 2-dimensional endo-commutative straight algebras of type I},
author = {Sin-Ei Takahasi and Kiyoshi Shirayanagi and Makoto Tsukada},
journal= {arXiv preprint arXiv:2307.01478},
year = {2023}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:2305.10629