Gröbner basis

particular generating subset of an ideal in a polynomial ring
Thing general Q1551631
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Gröbner basis

Summary

Gröbner basis ranks in the top 2% of general entities by monthly Wikipedia readership (986 views/month).[1]

Key Facts

  • Wolfgang Gröbner is named after Gröbner basis[2].
  • Gröbner basis is a type of generating set of a module[3].
  • Gröbner basis comprises polynomial[4].
  • Gröbner basis's Stack Exchange tag is recorded as https://stackoverflow.com/tags/groebner-basis[5].
  • Gröbner basis's Stack Exchange tag is recorded as https://mathoverflow.net/tags/groebner-bases[6].
  • Gröbner basis's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

Gröbner basis is a type of generating set of a module[3].

Origins

Wolfgang Gröbner is named after Gröbner basis[2].

Use and Application

Gröbner basis comprises polynomial[4].

Why It Matters

Gröbner basis ranks in the top 2% of general entities by monthly Wikipedia readership (986 views/month).[1] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[8] It is known by 16 alternative names across languages and contexts.[9]

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APA 4ort.xyz Knowledge Graph. (2026). Gröbner basis. Retrieved April 10, 2026, from https://4ort.xyz/entity/gr-bner-basis
MLA “Gröbner basis.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/gr-bner-basis.
BibTeX @misc{4ortxyz_gr-bner-basis_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Gröbner basis}}, year = {2026}, url = {https://4ort.xyz/entity/gr-bner-basis}, note = {Accessed: 2026-04-10}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 5d ago · Tholzheim · 2026-05-26 view diff on Wikidata ↗
    Factgrid item id Q1752889
    Has part(s) polynomial
    Has parts
    Subclass of
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:1||1 */ [[Property:P8168]]: Q1752889, adds FactGrid ID"
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