MA 314: Topics in Commutative Algebra

Credits: 3:0

Abstract relations and Dickson’s Lemma; Hilbert Basis theorem, Buchberger Criterion for Grobner Bases and Elimination Theorem; Field Extensions and the Hilbert Nullstellensatz; Decomposition, Radical, and Zeroes of Ideals; Syzygies, Grobner Bases for Modules, Computation of Hom, Free Resolutions; Universal Grobner Bases and Toric Ideals.

Suggested books and references:

  1. T. Becker and V. Weispfenning, Grobner Bases–a Computational Approach to Commutative Algebra, Springer 1993.
  2. W.W. Adams and P. Loustaunau, An Introduction to Grobner Bases, Graduate Studies in Mathematics, Vol. 3, American Mathematical Society, 1994.
  3. B. Sturmfels, Grobner bases and convex polytopes, American Mathematical Society 1996.

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Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 28 Nov 2023