| Full text | |
| Author(s): |
Solis, Victor Hugo Lopez
;
Shestakov, Ivan
Total Authors: 2
|
| Document type: | Journal article |
| Source: | REVISTA MATEMATICA IBEROAMERICANA; v. 38, n. 4, p. 20-pg., 2022-01-01. |
| Abstract | |
We prove a coordinatization theorem for unital alternative algebras containing 2 x 2 matrix algebra with the same identity element 1. This solves an old problem announced by Nathan Jacobson on the description of alternative algebras containing a generalized quaternion algebra H with the same 1, for the case when the algebra H is split. In particular, this is the case when the basic field is finite or algebraically closed. (AU) | |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |