noetherian ring (Q6184): Difference between revisions

Latest revision as of 20:20, 31 March 2023

algebraic structure

Language	Label	Description	Also known as
English	noetherian ring	algebraic structure

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I_{1}\subseteq \cdots \subseteq I_{k-1}\subseteq I_{k}\subseteq I_{k+1}\subseteq \cdots

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@@ Property / subclass of @@
+ring
@@ Property / subclass of: ring / rank @@
+Normal rank
@@ Property / subclass of @@
+Noetherian module
@@ Property / subclass of: Noetherian module / rank @@
+Normal rank
@@ Property / defining formula @@
+ $I_{1}\subseteq \cdots \subseteq I_{k-1}\subseteq I_{k}\subseteq I_{k+1}\subseteq \cdots$ 
I_1\subseteq\cdots \subseteq I_{k-1}\subseteq I_{k}\subseteq I_{k+1}\subseteq\cdots
+Normal rank
@@ Property / has quality @@
+ascending chain condition
@@ Property / has quality: ascending chain condition / rank @@
+Normal rank
@@ Property / has quality: ascending chain condition / qualifier @@
+of: ideal