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square-free element

element of a unique factorization domain that is not divisible by a non-trivial square
Class type of: element Q2509291

Facts

5 properties
Instance of
mathematical concept
Subclass of
element[2]
Defining formula
r=p_1p_2\cdots p_n[4]
Different from
square-free integer[3]
Maintained by WikiProject
WikiProject Mathematics[5]
🏷️ Also known as
en square-free element en square-free cs bezčtvercovost cs bezčtvercový prvek fi Neliövapaa fi Potenssivapaa luku he חופשי מריבועים it elemento privo di quadrati pt elemento livre de quadrados ru без квадратов ru бесквадратный ru бесквадратный элемент ru свободный от квадратов элемент ru элемент, свободный от квадратов
🔖 Identifiers · 2
Freebase ID
/m/08htql
Microsoft Academic ID (discontinued)
2777786868

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Summary

square-free element is a mathematical concept[1].

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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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). square-free element. Retrieved November 4, 2026, from https://4ort.xyz/entity/square-free-element
MLA “square-free element.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Nov. 2026, https://4ort.xyz/entity/square-free-element.
BibTeX @misc{4ortxyz_square-free-element_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{square-free element}}, year = {2026}, url = {https://4ort.xyz/entity/square-free-element}, note = {Accessed: 2026-11-04}}
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