zero-product property (Q5554): Difference between revisions

Latest revision as of 19:33, 25 March 2023

mathematical property shared by many number systems, that a product cannot be zero unless one of its factors is zero

Language	Label	Description	Also known as
English	zero-product property	mathematical property shared by many number systems, that a product cannot be zero unless one of its factors is zero	rule of zero product null factor law multiplication property of zero nonexistence of nontrivial zero divisors

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a\times b=0\implies a=0\lor b=0

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Revision as of 19:33, 25 March 2023 Fire (talk \| contribs) Bureaucrats, Interface administrators, Administrators 132,236 edits ‎Created claim: instance of (P2): mathematical property (Q139) ← Older edit	Latest revision as of 19:33, 25 March 2023 Fire (talk \| contribs) Bureaucrats, Interface administrators, Administrators 132,236 edits ‎Created claim: defining formula (P333): a \times b = 0 \implies a=0 \lor b=0
	Property / defining formula
		$a\times b=0\implies a=0\lor b=0$ `a \times b = 0 \implies a=0 \lor b=0`
	Property / defining formula: $a\times b=0\implies a=0\lor b=0$ / rank
		Normal rank