English Explanatory Dictionary

Gröbner basis

English dictionary entry

Meanings

name
  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.

Word forms

Gröbner basis Gröbner bases

Etymology

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

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