Noetherian ring
(algebra, ring theory) A ring which is either: (a) a commutative ring in which every ideal is finitely generated, or (b) a noncommutative ring that is both left-Noetherian (every left ideal is finitely generated) and right-Noetherian (every right ideal is finitely generated).
A village and seaside resort in North Devon district, Devon, England (OS grid ref SS4543).
(biochemistry) A proteolytic enzyme found in the papaw, resembling papain in its action.
A loaf of sandwich bread. / A party food served to a group, consisting of a loaf of bread cut horizontally and presented as a stack with layers of various fillings.
イデアルがすべて有限生成される環上の加群を扱うとき、多くの部分加群の上昇鎖は安定し、分類問題がより扱いやすくなります。
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