zero-product property
mathematical property shared by many number systems, that a product cannot be zero unless one of its factors is zero
| rdfs:label |
"zero-product property"@en
|
|
skos:alt |
"multiplication property of zero"@en
"nonexistence of nontrivial zero divisors"@en
"null factor law"@en
"rule of zero product"@en
|
| schema:description |
"mathematical property shared by many number systems, that a product cannot be zero unless one of its factors is zero"@en
|
|
schema:date |
"2026-09-07T08:17:53+00:00"^^xsd:dateTime |
| schema:version | 2541587608 |
| wikibase:identifiers | 4 |
| wikibase:sitelinks | 8 |
| wikibase:statements | 9 |
| p:P2384 | wd:statement/Q2248306-11fcc0ae-4f00-776a-d940-78fed37e8a3b |
| p:P2534 | wd:statement/Q2248306-02cd4f6d-4050-3683-7d5d-0e63564dcb53 |
| p:P2812 | wd:statement/Q2248306-07b3e86b-4e4e-557c-6118-486f33b5063e |
| p:P31 | wd:statement/Q2248306-6bec8b26-43bc-d67c-cc7b-b7d1bdff9de9 |
| p:P460 | wd:statement/Q2248306-edd4edc4-481d-2f0a-6bf9-31837faa1223 |
| p:P6104 | wd:statement/Q2248306-327B964D-3691-4392-888C-C6DB24531714 |
| p:P6366 | wd:statement/Q2248306-355AB74D-C9B4-4810-869E-18333BE11653 |
| p:P646 | wd:statement/Q2248306-63779CDF-0301-4124-8964-4702F029183E |
| p:P9621 | wd:statement/Q2248306-041300EE-ABB2-4980-A536-9ABE71429EBC |
|
p:direct- |
<https:/ |
| wdt:P2384 | zero divisor |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>a</mi><mo stretchy="false">×</mo><mi>b</mi><mo stretchy="false">=</mo><mn>0</mn><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mo>⟹</mo><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mi>a</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">∨</mo><mi>b</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2812 | "ZeroProductProperty" |
| wdt:P31 | mathematical property |
| wdt:P460 | Hankelian property |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "74778308" |
| wdt:P646 | "/m/0bg53n" |
| wdt:P9621 | "annullamento-del-prodotto-legge-di" |
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