多項式環
Sign in to saveAlso known as polynomial algebra, algebra of the polynomials, ring of the polynomials
ring of polynomials (with one or several variables) with coefficients in a given ring
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Within Vinony's link graph, 多項式環 is referenced by 430 other articles, and connects out to polynomial, integral domain and time complexity.
It is catalogued under topics including Commutative algebra, Free algebraic structures and Invariant theory.
Its subject is documented across 26 Wikipedia language editions.
Wikidata facts
- Subclass of
- free object
- Has parts of class
- polynomial
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- studied by
- category theory
- maintained by WikiProject
- WikiProject Mathematics
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Article · 日本語
数学、殊に抽象代数学における多項式環（たこうしきかん、英語: polynomial ring）は環に係数を持つ一変数または多変数の多項式の全体の集合が成す環である。多項式環はヒルベルトの基底定理や分解体の構成、線型作用素の理解など数学のかなり広い分野に影響をもつ概念である。のような多くの重要な予想が、他の環の研究に影響をもち群環や形式冪級数環のようなほかの環の定義にさえ影響を及ぼしている。
Abstract from DBpedia / Wikipedia · CC BY-SA
Connections
polynomial
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integral domain
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time complexity
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formal power series
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polynomial greatest common divisor
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natural number
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field
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coprime
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algebraic variety
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p-adic number
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algebra over a field
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algebraically closed field
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unique factorization domain
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semiring
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associative algebra
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factorization of polynomials
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multiplicity
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adjoint functor
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derivation
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free algebra
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