Last Updated
：2025/12/04
polynomial basis
Noun
of a finite field
Japanese Meaning
（代数学、環論）多項式環の基底。すなわち、係数体上のベクトル空間または係数環上の自由加群として見なす多項式環における基底を指す。
Sense（1）
（ plural ）
Quizzes for review
(algebra, ring theory) A basis of a polynomial ring (said ring being viewed either as a vector space over the field of coefficients or as a free module over the ring of coefficients).
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polynomial basis
When studying the structure of k[x], the professor emphasized that choosing a polynomial basis simplifies many proofs about linear independence.
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When studying the structure of k[x], the professor emphasized that choosing a polynomial basis simplifies many proofs about linear independence.
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