2021/03/23 by Cristina Flaut, Flaut, Cristina, Remus Boboescu +1
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2103.12805
openalex publication_date 2021/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Starting from some ideas given by Bales in [Ba; 09], in this paper we present\nan algorithm for computing the elements of the basis in an algebra obtained by\nthe Cayley-Dickson process. As a consequence of this result, we prove that an\nalgebra obtained by the Cayley-Dickson process is a twisted group algebra for\nthe group G = Zn2 ; n = 2t, t 2 N, over a field K, with charK = 0. In the last\nsection, we give some properties and applications of the quaternion\nnonassociative algebras.\n