principal ideal domain

Noun

(algebra) An integral domain in which every ideal is a principal ideal.

Japanese Meaning

すべてのイデアルが主イデアルとなる整域。

When working with modules over a principal ideal domain, the structure theorem simplifies many classification problems.

主イデアル整域上の加群を扱うとき、構造定理は多くの分類問題を単純化する。

Sense（1）

(algebra) An integral domain in which every ideal is a principal ideal.

principal ideal domains

（ plural ）