Reduced Gröbner Bases --- CAG L14.2 скачать в хорошем качестве

Reduced Gröbner Bases --- CAG L14.2

We define reduced Gröbner bases which may be seen as the generalization of reduced row echelon form for matrices to polynomials. We show that reduced Gröbner basis exist and are unique for each ideal. 0:00 Intro 0:16 Minimal basis 3:12 Reduced basis 4:17 Existence 6:05 Idea in a picture 8:41 Uniqueness 11:46 Some consequences == Relevant resources == Website for this lecture: https://emresertoz.com/cag/ Book for this section: Ideals, varieties, and algorithms by David Cox, Donal O'Shea, and John Little == General description == This video is part of my "Computational Algebraic Geometry" lecture series taking place in Leibniz University Hannover (Germany). Videos will be uploaded weekly on Monday and Wednesday afternoons during lecture times of the Winter Semester 2021/2022.