Some remarks and properties of algebras obtained by the Cayley-Dickson\n process

2021/01/17 by Cristina Flaut, Flaut, Cristina, Delia Mustaca +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.2101.06789

openalex publication_date 2021/01/17 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

Finding identities in nonassociative algebras plays an important role in the\nstudy of properties of these algebras. In this paper, we present some\nidentities in alternative algebras and in algebras obtained by the\nCayley-Dickson process. Moreover, the spectrum of matrices with coefficients in\nsuch algebras are investigated.\n

Citations

• Quaternions and matrices of quaternions

Related

• About some properties of algebras obtained by the Cayley-Dickson process
• Some identities in algebras obtained by the Cayley-Dickson process
• Structure of the Cayley-Dickson algebras
• Some remarks about the levels and sublevels of algebras obtained by the\n Cayley-Dickson process
• Values for the levels and sublevels of algebras obtained by the Cayley-Dickson process