词条 | P-basis |
释义 |
In algebra, a p-basis is a generalization of the notion of a separating transcendence basis for a field extension of characteristic p, introduced by {{harvtxt|Teichmüller|1936}}. DefinitionSuppose k is a field of characteristic p and K is a field extension. A p-basis is a set of elements xi of K such that the elements dxi form a basis for the K-vector space ΩK/k of differentials. Examples
References
|last=Mac Lane|first=Saunders |title=Modular fields. I. Separating transcendence bases |journal=Duke Math. J. |volume=5 |year=1939|issue= 2|pages= 372–393|doi=10.1215/S0012-7094-39-00532-6}}
1 : Field theory |
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