Last Updated
：2025/12/04
Frobenius endomorphism
Noun
Japanese Meaning
フロベニウス準同型: 素数 p の特性を持つ可換環 R において、各要素 x を x^p に写す環の自己準同型（自己準同型写像）
（ plural ）
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(algebra, commutative algebra, field theory) Given a commutative ring R with prime characteristic p, the endomorphism that maps x → xᵖ for all x ∈ R.
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Frobenius endomorphism
In characteristic p, the Frobenius endomorphism often determines the behavior of ideals and their closures.
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In characteristic p, the Frobenius endomorphism often determines the behavior of ideals and their closures.
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