Formal & Physical Sciences MathematicsENCommutative algebra 28 Geometry of associated primesRichard E BorcherdsAugust 28, 2020 28 min★ ★ ★ ★ ★ 5/5Commutative AlgebraAssociated PrimesSupport of Module
Formal & Physical Sciences MathematicsENCommutative algebra 27 (Associated primes)Richard E BorcherdsAugust 26, 2020 30 min★ ★ ★ ★ ★ 5/5Commutative AlgebraAssociated PrimesNoetherian Rings
Formal & Physical Sciences MathematicsENCommutative algebra 26 (Examples of Artinian rings)Richard E BorcherdsAugust 26, 2020 24 min★ ★ ★ ★ ★ 5/5Commutative AlgebraArtinian RingsLocal Rings
Formal & Physical Sciences MathematicsENCommutative algebra 25 Artinian ringsRichard E BorcherdsAugust 25, 2020 21 min★ ★ ★ ★ ★ 5/5Commutative AlgebraArtinian RingsNoetherian Rings
Formal & Physical Sciences MathematicsENCommutative algebra 24 Artinian modulesRichard E BorcherdsAugust 25, 2020 27 min★ ★ ★ ★ ★ 5/5Commutative AlgebraArtinian ModulesNoetherian Modules
Formal & Physical Sciences MathematicsENCommutative algebra 23 (Flat extensions)Richard E BorcherdsAugust 24, 2020 25 min★ ★ ★ ★ ★ 5/5Commutative AlgebraFlat ModulesTensor Products
Formal & Physical Sciences MathematicsENCommutative algebra 22 Flatness, tensor products, localizationRichard E BorcherdsAugust 23, 2020 24 min★ ★ ★ ★ ★ 5/5Commutative AlgebraFlat ModulesLocalization
Formal & Physical Sciences MathematicsENCommutative algebra 21 Tensor products and exactnessRichard E BorcherdsAugust 22, 2020 21 min★ ★ ★ ★ ★ 5/5Commutative AlgebraTensor ProductExact Sequence
Formal & Physical Sciences MathematicsENCommutative algebra 20 Tensor products reviewRichard E BorcherdsAugust 21, 2020 26 min★ ★ ★ ★ ★ 5/5Commutative AlgebraTensor ProductsModules
Formal & Physical Sciences MathematicsENCommutative algebra 19 Affine schemesRichard E BorcherdsAugust 21, 2020 25 min★ ★ ★ ★ ★ 5/5Commutative AlgebraAffine SchemesSpectrum of a Ring
Formal & Physical Sciences MathematicsENCommutative algebra 18 (Functions on Spec R)Richard E BorcherdsAugust 20, 2020 25 min★ ★ ★ ★ ★ 5/5Commutative AlgebraSpectrumSheaf
Formal & Physical Sciences MathematicsENCommutative algebra 17 (Spec R[1/S])Richard E BorcherdsAugust 20, 2020 27 min★ ★ ★ ★ ★ 5/5Commutative AlgebraSpectrumLocalization
Formal & Physical Sciences MathematicsENCommutative algebra 16 LocalizationRichard E BorcherdsAugust 19, 2020 29 min★ ★ ★ ★ ★ 5/5Commutative AlgebraLocalizationRing Theory
Formal & Physical Sciences MathematicsENCommutative algebra 15 (Noetherian spaces)Richard E BorcherdsAugust 19, 2020 26 min★ ★ ★ ★ ★ 5/5Noetherian SpaceCommutative AlgebraSpectrum of a Ring
Formal & Physical Sciences MathematicsENCommutative algebra 14 (Irreducible subsets of Spec R)Richard E BorcherdsAugust 18, 2020 22 min★ ★ ★ ★ ★ 5/5Commutative AlgebraPrime IdealsSpectrum
Formal & Physical Sciences MathematicsENCommutative algebra 13 (Topology of Spec R)Richard E BorcherdsAugust 18, 2020 23 min★ ★ ★ ★ ★ 5/5Commutative AlgebraSpectrum of a RingZariski Topology
Formal & Physical Sciences MathematicsENCommutative algebra 12: Examples of Spec RRichard E BorcherdsAugust 13, 2020 26 min★ ★ ★ ★ ★ 5/5Commutative AlgebraSpectrum of a RingPrime Ideals
Formal & Physical Sciences MathematicsENCommutative algebra 11 (Spectrum of a ring)Richard E BorcherdsAugust 13, 2020 25 min★ ★ ★ ★ ★ 5/5Commutative AlgebraSpectrum of a RingPrime Ideals
Formal & Physical Sciences MathematicsENCommutative algebra 10 (Weierstrass preparation theorem)Richard E BorcherdsAugust 12, 2020 24 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraWeierstrass Preparation TheoremPower Series
Formal & Physical Sciences MathematicsENCommutative algebra 9 (Euclidean domains)Richard E BorcherdsAugust 10, 2020 25 min★ ★ ★ ★ ★ 5/5Commutative AlgebraEuclidean DomainGaussian Integers
Formal & Physical Sciences MathematicsENCommutative algebra 8 (Noetherian modules)Richard E BorcherdsAugust 9, 2020 30 min★ ★ ★ ★ ★ 5/5Noetherian ModulesCommutative AlgebraInvariants
Formal & Physical Sciences MathematicsENCommutative algebra 7 (Finite generation of invariants)Richard E BorcherdsAugust 8, 2020 23 min★ ★ ★ ★ ★ 5/5Commutative AlgebraInvariant TheoryHilbert's Theorem
Formal & Physical Sciences MathematicsENCommutative algebra 6 (Proof of Hilbert's basis theorem)Richard E BorcherdsAugust 7, 2020 24 min★ ★ ★ ★ ★ 5/5Commutative AlgebraHilbert Basis TheoremNoetherian Rings
Formal & Physical Sciences MathematicsENCommutative algebra 5 (Noetherian rings)Richard E BorcherdsAugust 6, 2020 27 min★ ★ ★ ★ ★ 5/5Noetherian RingsCommutative AlgebraAlgebraic Geometry
Formal & Physical Sciences MathematicsENCommutative algebra 4 (Invariant theory)Richard E BorcherdsAugust 5, 2020 31 min★ ★ ★ ★ ★ 5/5Commutative AlgebraInvariant TheoryHilbert
Formal & Physical Sciences MathematicsENCommutative algebra 3 (What is a syzygy?)Richard E BorcherdsAugust 4, 2020 32 min★ ★ ★ ★ ★ 5/5Commutative AlgebraInvariant TheorySyzygy
Formal & Physical Sciences MathematicsENCommutative algebra 2 (Rings, ideals, modules)Richard E BorcherdsAugust 4, 2020 30 min★ ★ ★ ★ ★ 5/5Commutative AlgebraRingsIdeals
Formal & Physical Sciences MathematicsENCommutative algebra 1 (Introduction)Richard E BorcherdsAugust 3, 2020 17 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraAlgebraic GeometryNumber Theory
Formal & Physical Sciences MathematicsENSchemes 22: Valuation ringsRichard E BorcherdsJuly 16, 2020 24 min★ ★ ★ ★ ★ 5/5Valuation RingsAlgebraic GeometrySchemes
Formal & Physical Sciences MathematicsENGroup theory 10: Burnside's lemmaRichard E BorcherdsJune 26, 2020 19 min★ ★ ★ ★ ★ 5/5Burnside's LemmaGroup TheoryOrbits
Formal & Physical Sciences MathematicsENNon-Prime Fields || @ CMU || Lecture 10c of CS Theory ToolkitRyan O'DonnellMarch 25, 2020 20 min★ ★ ★ ★ ☆ 4/5Finite FieldsPolynomialsIrreducible Polynomials
Formal & Physical Sciences MathematicsENSpring 2015 Lecture 23 Linear Algebra defaultRyan O'DonnellJuly 15, 2017 73 min★ ★ ★ ★ ☆ 4/5Linear AlgebraEigenvaluesEigenvectors
Formal & Physical Sciences MathematicsENSpring 2013 Lecture 15 Polynomials default ee567245Ryan O'DonnellJuly 15, 2017 73 min★ ★ ★ ★ ☆ 4/5PolynomialsFieldsFinite Fields