On a problem by Nathan Jacobson
نویسندگان
چکیده
We prove a coordinatization theorem for unital alternative algebras containing $2\\times 2$ matrix algebra with the same identity element 1. This solves an old problem announced by Nathan Jacobson on description of generalized quaternion $\\mathbb{H}$ 1, case when is split. In particular, this basic field finite or algebraically closed.
منابع مشابه
Nathan Jacobson (1910–1999), Volume 47, Number 9
When a colleague was explaining how a mathematician can be recognized to have reached the summit of recognition by his peers, he used the metaphor, " He has become part of the furniture. " That is, his contributions have become a part of the daily vocabulary and working equipment of many of us. Such is certainly the status of Nathan Jacobson. As my fellow authors will show more specifically, he...
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ژورنال
عنوان ژورنال: Revista Matematica Iberoamericana
سال: 2021
ISSN: ['2235-0616', '0213-2230']
DOI: https://doi.org/10.4171/rmi/1299