Last Updated：2025/11/28

(algebra, ring theory) A unique factorization ring which is also an integral domain.

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unique factorization domain

Source Word

unique factorization domain

(algebra, ring theory) A unique factorization ring which is also an integral domain.

Japanese Meaning

一意因数分解整域：環論において、環の元が素因数分解一意性の法則を持つ、積の順序の異なりを除いたなら一意に素因数分解できる整域。

Every polynomial ring over a unique factorization domain has desirable factorization properties that help in solving Diophantine equations.

一意分解整域上の多項式環は、ディオファントス方程式を解くのに役立つ望ましい因数分解の性質を持っています。

Sense（1）

(algebra, ring theory) A unique factorization ring which is also an integral domain.

unique factorization domains

（ plural ）