Vidinli algebras
Rings and Algebras
2026-02-02 v1
Abstract
A new class of nonassociative algebras, Vidinli algebras, is defined based on recent work of Co\c{s}kun and Eden. These algebras are conic (or quadratic) algebras with the extra restriction that the commutator of any two elements is a scalar multiple of the unity. Over fields of characteristic not 2, Vidinli algebras may be considered as generalizations of the Jordan algebras of Clifford type. However, in characteristic 2, the class of Vidinli algebras is much larger and include the unitizations of anticommutative algebras.
Cite
@article{arxiv.2601.22839,
title = {Vidinli algebras},
author = {Alberto Elduque and Javier Rández-Ibáñez},
journal= {arXiv preprint arXiv:2601.22839},
year = {2026}
}
Comments
14 pages