Vidinli algebras
Year: 2026
Type: preprint
Abstract: A new class of nonassociative algebras, Vidinli algebras, is defined based on recent work of Coşkun 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.
Source: arXiv (Cornell University)
Authors: Elduque, Alberto, Rández-Ibáñez, Javier
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7127066078
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