Englisch-Portugiesisch Übersetzung für splitting field
Definition für splitting field
Anwendungsbeispiele
- The terminology "splitting field of a K-algebra" is motivated by the same terminology regarding a polynomial. A splitting field of a K-algebra A is a field extension K\mapsto L such that A\otimes_K L is split; in the special case A=K[x]/f(x) this is the same as a splitting field of the polynomial f(x
- Every finite dimensional central simple algebra has a splitting field: moreover, if said CSA is a division algebra, then a maximal subfield of it is a splitting field
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