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mod12lec57 - Koszul complex
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Computational Commutative Algebra
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- 1 Computational Commutative Algebra - Intro video
- 2 mod01lec01 - Definitions
- 3 mod01lec02 - Homomorphisms
- 4 mod01lec03 - Quotient rings
- 5 mod01lec04 - Noetherian rings
- 6 mod01lec05 - Monomials
- 7 mod02lec06 - Initial ideals
- 8 mod02lec07 - Division algorithm
- 9 mod02lec08 - Grobner basis
- 10 mod02lec09 - Solving Polynomial Equations
- 11 mod02lec10 - Nullstellensatz - Part 1
- 12 mod03lec11 - Nullstellensatz - Part 2
- 13 mod03lec12 - Buchberger criterion
- 14 mod03lec13 - Monomial basis
- 15 mod03lec14 - Elimination
- 16 mod03lec15 - Modules - Part 1
- 17 mod04lec16 - Modules - Part 2
- 18 mod04lec17 - Localisation
- 19 mod04lec18 - Nakayama Lemma
- 20 mod04lec19 - Spectrum - Part 1
- 21 mod04lec20 - Spectrum - Part 2
- 22 mod05lec21 - Associated primes
- 23 mod05lec22 - Primary Decomposition
- 24 mod05lec23 - Support of a module
- 25 mod05lec24 - Associated primes
- 26 mod05lec25 - Prime avoidance
- 27 mod06lec26 - Saturation - Part 1
- 28 mod06lec27 - saturation - Part 2
- 29 mod06lec28 - saturation - Part 3
- 30 mod06lec29 - Morphisms - Part 1
- 31 mod06lec30 - Morphisms - Part 2
- 32 mod07lec31 - Integral extensions
- 33 mod07lec32 - Noether normalisation lemma
- 34 mod07lec33 - Noether normalisation lemma
- 35 mod07lec34 - Polynomial rings
- 36 mod07lec35 - Going up theorem
- 37 mod08lec36 - Artinian rings
- 38 mod08lec37 - Graded modules
- 39 mod08lec38 - Hilbert polynomial
- 40 mod08lec39 - Hilbert-Samuel polynomial
- 41 mod08lec40 - Artin Rees Lemma
- 42 mod09lec41 - Degree of Hilbert-Samuel polynomial
- 43 mod09lec42 - Dimension of noetherian local rings - Part 1
- 44 mod09lec43 - Dimension of noetherian local rings - Part 2
- 45 mod09lec44 - Dimension of polynomial rings
- 46 mod09lec45 - Algebras over a field
- 47 mod10lec46 - Graded rings - Part 1
- 48 mod10lec47 - Graded rings - Part 2
- 49 mod10lec48 - Polynomial rings over fields
- 50 mod10lec49 - Hilbert series - Part 1
- 51 mod10lec50 - Hilbert Series - Part 2
- 52 mod11lec51 - Proj of a graded ring
- 53 mod11lec52 - Homogenization - Part 1
- 54 mod11lec53 - Homogenization - Part 2
- 55 mod11lec54 - More on graded rings
- 56 mod11lec55 - Free resolutions
- 57 mod12lec56 - Computing syzygies
- 58 mod12lec57 - Koszul complex
- 59 mod12lec58 - More on Koszul complexes
- 60 mod12lec59 - Castelnuovo Mumford regularity - Part 1
- 61 mod12lec60 - Castelnuovo Mumford regularity - Part 2
