English Dictionary

adele

名詞

(mathematics) A member of a self-dual topological ring built on the field of rational numbers (or, more generally, any algebraic number field), and involving in a symmetric way all the completions of the field.

日本語の意味

数学において、アデールとは、有理数体または任意の代数数体の全ての完備化体（すなわち、各極小素や無限大の場所での局所体）を対称的に組み合わせた自己双対な位相環の構成要素を指す。

The seminar explained how an adele links all the completions of a number field into a single self-dual topological ring.

セミナーは、数体のすべての完備化の制限直積の元が、それらを単一の自己双対位相環に結びつける方法を説明した。

意味（1）

(mathematics) A member of a self-dual topological ring built on the field of rational numbers (or, more generally, any algebraic number field), and involving in a symmetric way all the completions of the field.

adeles （ plural ）