zero-product property

mathematical property shared by many number systems, that a product cannot be zero unless one of its factors is zero
Thing mathematical_property Q2248306
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zero-product property

Summary

zero-product property is a mathematical property[1]. It draws 30 Wikipedia views per month (mathematical_property category, ranking #13 of 26).[2]

Key Facts

  • zero-product property's instance of is recorded as mathematical property[3].
  • zero-product property's said to be the same as is recorded as Q122052153[4].
  • zero-product property's Freebase ID is recorded as /m/0bg53n[5].
  • zero-product property's statement describes is recorded as zero divisor[6].
  • zero-product property's defining formula is recorded as a \times b = 0 \implies a=0 \lor b=0[7].
  • zero-product property's MathWorld ID is recorded as ZeroProductProperty[8].
  • zero-product property's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • zero-product property's Microsoft Academic ID is recorded as 74778308[10].
  • zero-product property's Treccani's Enciclopedia della Matematica ID is recorded as annullamento-del-prodotto-legge-di[11].

Why It Matters

zero-product property draws 30 Wikipedia views per month (mathematical_property category, ranking #13 of 26).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[12] It is known by 7 alternative names across languages and contexts.[13]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . math.mun.ca. math.mun.ca. Provenance: wikidata.org.
  3. [5] . Freebase Data Dumps. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . MathWorld. mathworld.wolfram.com. Provenance: wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] . Wikidata sitelinks. wikidata.org.
  3. [13] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). zero-product property. Retrieved May 3, 2026, from https://4ort.xyz/entity/zero-product-property
MLA “zero-product property.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/zero-product-property.
BibTeX @misc{4ortxyz_zero-product-property_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{zero-product property}}, year = {2026}, url = {https://4ort.xyz/entity/zero-product-property}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): zero-product property — https://4ort.xyz/entity/zero-product-property (retrieved 2026-05-03)

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