artinian ring (Q6193): Difference between revisions

Revision as of 20:28, 31 March 2023

ring that satisfies the descending chain condition on ideals

Language	Label	Description	Also known as
English	artinian ring	ring that satisfies the descending chain condition on ideals	Artin ring

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I^{\oplus k}\to A,\,(y_{1},\dots ,y_{k})\mapsto a_{1}y_{1}+\cdots +a_{k}y_{k}

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Revision as of 20:27, 31 March 2023 Fire (talk \| contribs) Bureaucrats, Interface administrators, Administrators 132,515 edits ‎Created claim: subclass of (P1): Artinian module (Q6194) ← Older edit	Revision as of 20:28, 31 March 2023 Fire (talk \| contribs) Bureaucrats, Interface administrators, Administrators 132,515 edits ‎Created claim: defining formula (P333): I^{\oplus k} \to A, \, (y_1, \dots, y_k) \mapsto a_1y_1 + \cdots + a_k y_k Newer edit →
	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`
	Property / defining formula: $I^{\oplus k}\to A,\,(y_{1},\dots ,y_{k})\mapsto a_{1}y_{1}+\cdots +a_{k}y_{k}$ / rank
		Normal rank