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New models of four dimensional absolute valued algebras | ||
| Journal of Algebra and Related Topics | ||
| دوره 13، شماره 1، مهر 2025، صفحه 1-14 اصل مقاله (134.93 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.25857.1592 | ||
| نویسندگان | ||
| N. Motya* 1؛ M. Hakima1؛ A. Moutassim2 | ||
| 1Department of Mathematics, Sidi Mohamed Ben Abdellah University, Faculty of Scinces Dhar El Mahraz, Fez-Atlas, Morocco | ||
| 2Regional Center For Education And Training Professions, Casablanca-Settat, Morocco | ||
| چکیده | ||
| This paper deals with some results concerning the 4-dimensional absolute valued algebras with left omnipresent unit. 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 $\mathbb{H}$ ( The quaternion algebra). | ||
| کلیدواژه‌ها | ||
| Absolute valued algebra؛ Pre-Hilbert algebra؛ Left omnipresent unit | ||
| مراجع | ||
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