Gröbner basis

Summary

Gröbner basis ranks in the top 2% of general entities by monthly Wikipedia readership (338 views/month).^[1]

Key Facts

• Wolfgang Gröbner is named after Gröbner basis^[2].
• Gröbner basis's GND ID is recorded as 4276378-2^[3].
• Gröbner basis's Library of Congress authority ID is recorded as sh92005856^[4].
• Gröbner basis's Bibliothèque nationale de France ID is recorded as 124219399^[5].
• Gröbner basis's IdRef ID is recorded as 033344299^[6].
• Gröbner basis's subclass of is recorded as generating set of a module^[7].
• Gröbner basis's has part is recorded as polynomial^[8].
• Gröbner basis's Freebase ID is recorded as /m/01_0w0^[9].
• Gröbner basis's Stack Exchange tag is recorded as https://stackoverflow.com/tags/groebner-basis^[10].
• Gröbner basis's Stack Exchange tag is recorded as https://mathoverflow.net/tags/groebner-bases^[11].
• Gröbner basis's FAST ID is recorded as 948675^[12].
• Gröbner basis's defining formula is recorded as \begin{aligned}\mathfrak I&=(G)\(\operatorname{lm}(p)\colon p\in\mathfrak I)&=(\operatorname{lm}(p)\colon p\in G)\\operatorname{lm}\left(\sum_{A\subset I}p_A\prod_{i\in A}x_i\right)&\stackrel{\mathrm{def}}=\min_\le\left{\prod_{i\in A}x_i\colon p_A\ne0\right}\end{aligned}^[13].
• Gröbner basis's MathWorld ID is recorded as GroebnerBasis^[14].
• Gröbner basis's Open Library subject ID is recorded as gröbner-basis^[15].
• Gröbner basis's maintained by WikiProject is recorded as WikiProject Mathematics^[16].
• Gröbner basis's Microsoft Academic ID is recorded as 198082693^[17].
• Gröbner basis's ProofWiki ID is recorded as Gröbner_Basis^[18].
• Gröbner basis's in defining formula is recorded as \mathfrak I^[19].
• Gröbner basis's in defining formula is recorded as G^[20].
• Gröbner basis's in defining formula is recorded as \le^[21].
• Gröbner basis's Encyclopedia of Mathematics article ID is recorded as Gröbner_basis^[22].
• Gröbner basis's National Library of Israel J9U ID is recorded as 987007539439305171^[23].
• Gröbner basis's Scholarpedia article ID is recorded as Groebner_basis^[24].
• Gröbner basis's OpenAlex ID is recorded as C198082693^[25].
• Gröbner basis's Yale LUX ID is recorded as concept/36fb00bf-e41e-4ac0-8af1-104afc1ce76e^[26].

Why It Matters

Gröbner basis ranks in the top 2% of general entities by monthly Wikipedia readership (338 views/month).^[1] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.^[27] It is known by 16 alternative names across languages and contexts.^[28]