artinian ring (Q6193): Difference between revisions

@@ Property / instance of @@
+mathematical concept
@@ Property / instance of: mathematical concept / rank @@
+Normal rank
@@ Property / subclass of @@
+noetherian ring
@@ Property / subclass of: noetherian ring / rank @@
+Normal rank
@@ Property / subclass of @@
+Artinian module
@@ Property / subclass of: Artinian module / rank @@
+Normal rank
@@ Property / defining formula @@
+ $I^{\oplus k}\to A,\,(y_{1},\dots ,y_{k})\mapsto a_{1}y_{1}+\cdots +a_{k}y_{k}$ 
I^{\oplus k} \to A, \, (y_1, \dots, y_k) \mapsto a_1y_1 + \cdots + a_k y_k
+Normal rank
@@ Property / has quality @@
+descending chain condition
@@ Property / has quality: descending chain condition / rank @@
+Normal rank
@@ Property / has quality: descending chain condition / qualifier @@
+of: ideal

Latest revision as of 20:28, 31 March 2023