Explore: Bases De Gröbner

the theory of Gröbner bases for polynomial rings was developed by his student Bruno Buchberger in 1965, who named them for Gröbner. Gröbner is also known

In computer algebra, the Gröbner fan of an ideal in the ring of polynomials is a concept in the theory of Gröbner bases. It is defined to be a fan consisting

this involve Gröbner basis computation. The algorithms which are not based on Gröbner bases use regular chains but may need Gröbner bases in some exceptional

Their connection to the theory of Gröbner bases was discussed by Bernd Sturmfels. The algorithmic theory of Graver bases and its application to integer programming

Gröbner bases implies that the Module has a unique reduced Gröbner basis for a given order of power products in polynomials. If we define the Gröbner

Gröbner bases and their applications, in particular, in cryptology. With his collaborators, he has devised the FGLM algorithm for computing Gröbner bases;

generalization, introduced by Macaulay, of the usual resultant. It is, with Gröbner bases, one of the main tools of elimination theory. The resultant of two univariate

(12): 1475–1486. doi:10.1109/82.809533. S2CID 16382561. Grobner bases, Bruno (1985). "Gröbner Bases: An Algorithmic Method in Polynomial Ideal Theory". Multidimensional

that permit to develop a noncommutative extension of the theory of Gröbner bases. An Ore extension of a domain is a domain. An Ore extension of a skew

Sala; Teo Mora; Ludovic Perret; Shojiro Sakata; Carlo Traverso (eds.). Gröbner Bases, Coding, and Cryptography. Springer Science & Business Media. ISBN 978-3-540-93806-4