Associative Algebras Satisfying Quadratic Equations
Year: 2025
Type: article
Abstract: This work classifies associative algebras over a field K that are generated by a finite set G and satisfy a polynomial identity of the form X2 = aX + b, where a and b are elements of K and X varies either over all elements of the algebra or over all elements of the multiplicative semigroup S generated by G. The results obtained were validated computationally using the GAP system.
Author: Josimar da Silva Rocha
Institution: Universidade Tecnológica Federal do Paraná
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411418224