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New models of four dimensional absolute valued algebras | ||
Journal of Algebra and Related Topics | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 14 آذر 1403 | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2024.25857.1592 | ||
نویسندگان | ||
N. Motya* 1؛ A. Es sadiq2؛ M. Louzari2؛ A. Moutassim3 | ||
1Laboratory of mathematics sciences and applications, faculty of sciences dhar el mahraz, sidi mohamed ben abdellah university fez morocco | ||
2Laboratory of Algebra and it’s Applications (LAA), Faculty of Sciences Abdelmalek Essaˆadi Tetouan, Morocco | ||
3CRMEF Casablanca-Settat, Annexe provinciale Settat | ||
چکیده | ||
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 | ||
کلیدواژهها | ||
Absolute valued algebra؛ pre-Hilbert algebra؛ left omnipresent unit | ||
آمار تعداد مشاهده مقاله: 42 |