Studying Gröbner bases and some applications


Abstract in English

Grobner Bases(GB) are considered as one of the new mathematical tools that motivate the researchers in all mathematical domains.They use in solving many of mathematical problems. A Grobner basis is a set of multivariate polynomials that has desirable algorithmic properties. Every set of polynomials can be transformed into a Grobner basis.

References used

N. K. Bose, J. P. Guiver, (1985), Multidimensional Systems Theory: progress, directions, and open problems in multidimensional systems , ch.6, 184-232
B. Buchberger, (2001), Gröbner Bases: A Short Introduction for Systems Theorist, Computer Aided Systems Theory — EUROCAST 2001, Lecture Notes in Computer Science, 2178, 1-19
M. Elkadi, B. Mourrain, (1998), Some Applications of Bezoutians in Effective Algebraic Geometry, inria-00073109, version 1

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