Word.ws English Dictionary

Gröbner basis

Gröbner basis proper noun: a particular kind of generating set of an ideal in a polynomial ring K[x1, ..,xn] over a field K. It allows many important properties of the ideal and the associated algebraic variety to be deduced easily, such as the dimension and the number of zeros when it is finite.

Proper noun

Gröbner basis (plural Gröbner bases)

  1. A particular kind of generating set of an ideal in a polynomial ring K[x1, ..,xn] over a field K. It allows many important properties of the ideal and the associated algebraic variety to be deduced easily, such as the dimension and the number of zeros when it is finite.

Forms of Gröbner basis

pluralGröbner bases

Origin of Gröbner basis

Introduced in 1965 by Austrian mathematician Bruno Buchberger, who named them after his academic advisor Wolfgang Gröbner.

Questions about Gröbner basis

What does Gröbner basis mean?
Gröbner basis means a particular kind of generating set of an ideal in a polynomial ring K[x1, ..,xn] over a field K. It allows many important properties of the ideal and the associated algebraic variety to be deduced easily, such as the dimension and the number of zeros when it is finite.
What part of speech is Gröbner basis?
Gröbner basis is a proper noun.

Words near Gröbner basis in the dictionary

  1. Grímnismál
  2. Grímsey
  3. Grógaldr
  4. Grójec
  5. Gröbner bases
  6. Gröbner basis
  7. Gröde
  8. Grötzsch graph
  9. Grötzsch graphs
  10. Grötzsch's theorem
  11. grünerite

Source and license

Adapted from Wiktionary: Gröbner basis (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “Gröbner basis.” Word.ws, https://word.ws/gr%C3%B6bner_basis. Based on Wiktionary, CC BY-SA 4.0.