Copyright © 2026 Kotomora. All Rights Reserved.

Words Kanji Guides About

ネーター環 (ネーターかん) Japanese meaning | Kotomora

ネーター環かん

Meanings

1

noun

Noetherian ring

mathematics

A ring satisfying the ascending chain condition on ideals. Named after Emmy Noether. Used in commutative algebra and algebraic geometry.

可か換かん環かんがネーター環かんであるとは、そのイデアルの昇しょう鎖さ律りつが成なり立たつことをいう。
A commutative ring is a Noetherian ring if it satisfies the ascending chain condition on ideals.

Kanji

環ring, circle, loop

Similar words

アルティン環かん
Artinian ring, which satisfies the descending chain condition on ideals, in contrast to the ascending chain condition for Noetherian rings.

Etymology

From the name of mathematician Emmy Noether (ネーター) and 環 (ring).