Unitary associative algebra structures on \(\mathbb{R}^n\) and applications. (Les structures d’algèbres associatives unitaires sur \(\mathbb{R}^n\) et applications.) (French. English summary) Zbl 1208.16020
Summary: We study the structures of unitary and associative algebras on the vector space \(\mathbb{R}^n\) (resp. \(\mathbb{C}^n\)) and some of their applications.
MSC:
| 16P10 | Finite rings and finite-dimensional associative algebras |
| 15A03 | Vector spaces, linear dependence, rank, lineability |
| 16D70 | Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) |
| 17B35 | Universal enveloping (super)algebras |
