Math 2.0

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Computational Commutative Algebra QY63AWA9T2

URIm2://res/QY63AWA9T2
Kindcourse
CreatorsManoj Kummini (instructor)
Date2020-09-18
Scopein

Expressions

e1: edition

Languageen
Date2020-09-18
Contents
  • part 1: Week 1
  • session 1: Definitions
  • session 2: Homomorphisms
  • session 3: Quotient rings
  • session 4: Noetherian rings
  • session 5: Monomials
  • part 2: Week 2
  • session 6: Initial ideals
  • session 7: Division algorithm
  • session 8: Grobner basis
  • session 9: Solving Polynomial Equations
  • session 10: Nullstellensatz - Part 1
  • part 3: Week 3
  • session 11: Nullstellensatz - Part 2
  • session 12: Buchberger criterion
  • session 13: Monomial basis
  • session 14: Elimination
  • session 15: Modules - Part 1
  • part 4: Week 4
  • session 16: Modules - Part 2
  • session 17: Localisation
  • session 18: Nakayama Lemma
  • session 19: Spectrum - Part 1
  • session 20: Spectrum - Part 2
  • part 5: Week 5
  • session 21: Associated primes
  • session 22: Primary Decomposition
  • session 23: Support of a module
  • session 24: Associated primes
  • session 25: Prime avoidance
  • part 6: Week 6
  • session 26: Saturation - Part 1
  • session 27: saturation - Part 2
  • session 28: saturation - Part 3
  • session 29: Morphisms - Part 1
  • session 30: Morphisms - Part 2
  • part 7: Week 7
  • session 31: Integral extensions
  • session 32: Noether normalisation lemma
  • session 33: Noether normalisation lemma
  • session 34: Polynomial rings
  • session 35: Going up theorem
  • part 8: Week 8
  • session 36: Artinian rings
  • session 37: Graded modules
  • session 38: Hilbert polynomial
  • session 39: Hilbert-Samuel polynomial
  • session 40: Artin Rees Lemma
  • part 9: Week 9
  • session 41: Degree of Hilbert-Samuel polynomial
  • session 42: Dimension of noetherian local rings - Part 1
  • session 43: Dimension of noetherian local rings - Part 2
  • session 44: Dimension of polynomial rings
  • session 45: Algebras over a field
  • part 10: Week 10
  • session 46: Graded rings - Part 1
  • session 47: Graded rings - Part 2
  • session 48: Polynomial rings over fields
  • session 49: Hilbert series - Part 1
  • session 50: Hilbert series - Part 2
  • part 11: Week 11
  • session 51: Proj of a graded ring
  • session 52: Homogenization - Part 1
  • session 53: Homogenization - Part 2
  • session 54: More on graded rings
  • session 55: Free resolutions
  • part 12: Week 12
  • session 56: Computing syzygies
  • session 57: Koszul complex
  • session 58: More on Koszul complexes
  • session 59: Castelnuovo Mumford regularity
  • session 60: Castelnuovo Mumford regularity

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