Subfield of an algebra
(Redirected from Maximal subfield)
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In algebra, a subfield of an algebra A over a field F is an F-subalgebra that is also a field. A maximal subfield is a subfield that is not contained in a strictly larger subfield of A.
If A is a finite-dimensional central simple algebra, then a subfield E of A is called a strictly maximal subfield if .
References
[edit | edit source]- Richard S. Pierce. Associative algebras. Graduate texts in mathematics, Vol. 88, Springer-Verlag, 1982, Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
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