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单词 Fixed field
释义

Fixed field

英语百科

Fixed-point subring

(重定向自Fixed field)

In algebra, the fixed-point subring R^{f} of an automorphism f of a ring R is the subring of the fixed points of f:

More generally, if G is a group acting on R, then the subring of R:

is called the fixed subring or, more traditionally, the ring of invariants. In Galois theory, when R is a field and G is a group of field automorphisms, the fixed ring is a subfield called the fixed field of the automorphism group; see Fundamental theorem of Galois theory.

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更新时间:2025/6/22 2:28:46