New models of four dimensional absolute valued algebras

Document Type : Research Paper

Authors

1 Laboratory of mathematics sciences and applications, faculty of sciences dhar el mahraz, sidi mohamed ben abdellah university fez morocco

2 Laboratory of Algebra and it’s Applications (LAA), Faculty of Sciences Abdelmalek Essaˆadi Tetouan, Morocco

3 CRMEF Casablanca-Settat, Annexe provinciale Settat

Abstract

A classification of all 4-dimensional absolute valued algebras with left omnipresent unit is given. We also construct, by algebraic methods some new models of 4-dimensional
absolute valued algebras with left omnipresent unit. These new algebras contain at least one 2-dimensional sub-algebra, and aren’t isomorphic to H (quaternion algebra

Keywords

Journal of Algebra and Related Topics

Articles in Press, Accepted Manuscript
Available Online from 04 December 2024

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