Formal & Physical Sciences MathematicsENGalois theory: Normal extensionsRichard E BorcherdsDecember 31, 2020 19 min★ ★ ★ ★ ★ 5/5Galois TheoryNormal ExtensionsField Theory
Formal & Physical Sciences MathematicsENGalois theory: Finite fieldsRichard E BorcherdsDecember 30, 2020 30 min★ ★ ★ ★ ★ 5/5Finite FieldsGalois TheorySplitting Fields
Formal & Physical Sciences MathematicsENGalois theory: Algebraic closureRichard E BorcherdsDecember 29, 2020 32 min★ ★ ★ ★ ★ 5/5Galois TheoryAlgebraic ClosureField Theory
Formal & Physical Sciences MathematicsENGalois theory: Splitting fieldsRichard E BorcherdsDecember 28, 2020 23 min★ ★ ★ ★ ★ 5/5Galois TheorySplitting FieldField Extension
Formal & Physical Sciences MathematicsENGalois theory: Field extensionsRichard E BorcherdsDecember 27, 2020 27 min★ ★ ★ ★ ★ 5/5Galois TheoryField ExtensionsAlgebraic Numbers
Formal & Physical Sciences MathematicsENGalois theory: IntroductionRichard E BorcherdsDecember 26, 2020 24 min★ ★ ★ ★ ★ 5/5Galois TheoryMathematicsAlgebra
Formal & Physical Sciences MathematicsENThe Bernstein Sato polynomial: IntroductionRichard E BorcherdsDecember 21, 2020 27 min★ ★ ★ ★ ★ 5/5Bernstein-Sato PolynomialD-ModulesAlgebraic Analysis
Formal & Physical Sciences MathematicsENCommutative algebra 66: Local complete intersection ringsRichard E BorcherdsDecember 20, 2020 30 min★ ★ ★ ★ ★ 5/5Commutative AlgebraLocal Complete IntersectionGorenstein Rings
Formal & Physical Sciences MathematicsENCommutative algebra 65: Fitting idealsRichard E BorcherdsDecember 19, 2020 21 min★ ★ ★ ★ ★ 5/5Commutative AlgebraFitting IdealsModule Theory
Formal & Physical Sciences MathematicsENCommutative algebra 64: Gorenstein ringsRichard E BorcherdsDecember 18, 2020 32 min★ ★ ★ ★ ★ 5/5Commutative AlgebraGorenstein RingsDuality
Formal & Physical Sciences MathematicsENCommutative algebra 63: Koszul complexRichard E BorcherdsDecember 17, 2020 23 min★ ★ ★ ★ ★ 5/5Koszul ComplexRegular SequenceCommutative Algebra
Formal & Physical Sciences MathematicsENCommutative algebra 62: Cohen Macaulay local ringsRichard E BorcherdsDecember 16, 2020 31 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraCohen-MacaulayLocal Rings
Formal & Physical Sciences MathematicsENCommutative algebra 61: Examples of regular local ringsRichard E BorcherdsDecember 15, 2020 22 min★ ★ ★ ★ ★ 5/5Commutative AlgebraRegular Local RingsAlgebraic Geometry
Formal & Physical Sciences MathematicsENCommutative algebra 60: Regular local ringsRichard E BorcherdsDecember 15, 2020 19 min★ ★ ★ ★ ★ 5/5Commutative AlgebraRegular Local RingsAlgebraic Geometry
Formal & Physical Sciences MathematicsENCommutative algebra 59: Krull's principal ideal theoremRichard E BorcherdsDecember 14, 2020 16 min★ ★ ★ ★ ★ 5/5Commutative AlgebraKrull's Principal Ideal TheoremDimension Theory
Formal & Physical Sciences MathematicsENCommutative algebra 58: System of parameters versus KrullRichard E BorcherdsDecember 13, 2020 18 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraKrull DimensionSystem of Parameters
Formal & Physical Sciences MathematicsENCommutative algebra 57: Krull versus HilbertRichard E BorcherdsDecember 13, 2020 12 min★ ★ ★ ★ ★ 5/5Commutative AlgebraKrull DimensionHilbert Polynomial
Formal & Physical Sciences MathematicsENCommutative algebra 55: Dimension of local ringsRichard E BorcherdsDecember 12, 2020 16 min★ ★ ★ ★ ★ 5/5Commutative AlgebraLocal RingsKrull Dimension
Formal & Physical Sciences MathematicsENCommutative algebra 54: Hilbert polynomialsRichard E BorcherdsDecember 11, 2020 21 min★ ★ ★ ★ ★ 5/5Hilbert PolynomialCommutative AlgebraGraded Modules
Formal & Physical Sciences MathematicsENCommutative algebra 53: Dimension Introductory surveyRichard E BorcherdsDecember 10, 2020 35 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraDimension TheoryKrull Dimension
Formal & Physical Sciences MathematicsENCommutative algebra 52: Flatness of completionsRichard E BorcherdsDecember 9, 2020 18 min★ ★ ★ ★ ★ 5/5Commutative AlgebraFlat ModulesCompletion
Formal & Physical Sciences MathematicsENCommutative algebra 51: Hensel's lemma continuedRichard E BorcherdsDecember 6, 2020 22 min★ ★ ★ ★ ★ 5/5Commutative AlgebraHensel's LemmaP-Adic Numbers
Formal & Physical Sciences MathematicsENCommutative algebra 50: Hensel's lemmaRichard E BorcherdsDecember 5, 2020 26 min★ ★ ★ ★ ★ 5/5Hensel's LemmaCommutative AlgebraP-Adic Numbers
Formal & Physical Sciences MathematicsENScalar Triple Product & Vector Triple Product of Vectors - BSc Physics Series - Shilpy BhullarShilpy BhullarNovember 17, 2020 22 min★ ★ ★ ★ ☆ 4/5Vector AlgebraScalar Triple ProductVector Triple Product
Formal & Physical Sciences MathematicsENCommutative algebra 49: CompletionsRichard E BorcherdsNovember 12, 2020 30 min★ ★ ★ ★ ★ 5/5Commutative AlgebraCompletionsP-Adic Numbers
Formal & Physical Sciences MathematicsENCommutative algebra 48: Limits and exactnessRichard E BorcherdsNovember 8, 2020 25 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraLimitsExact Sequences
Formal & Physical Sciences MathematicsENCommutative algebra 47: Colimits and exactnessRichard E BorcherdsNovember 7, 2020 23 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraColimitsExact Sequences
Formal & Physical Sciences MathematicsENGenesis of vertex algebrasRichard E BorcherdsNovember 6, 2020 34 min★ ★ ★ ★ ★ 5/5Vertex AlgebrasMathematics HistoryRichard Borcherds
Formal & Physical Sciences MathematicsENCommutative algebra 46: Limits and colimits of modulesRichard E BorcherdsNovember 4, 2020 31 min★ ★ ★ ★ ★ 5/5Commutative AlgebraLimitsColimits
Formal & Physical Sciences MathematicsENHomological algebra 6: Injective modulesRichard E BorcherdsOctober 31, 2020 29 min★ ★ ★ ★ ★ 5/5Injective ModulesHomological AlgebraEssential Extensions
Formal & Physical Sciences MathematicsENHomological algebra 5: Ext(A,B)Richard E BorcherdsOctober 28, 2020 27 min★ ★ ★ ★ ★ 5/5Ext GroupsHomological AlgebraDerived Functors
Formal & Physical Sciences MathematicsENHomological algebra 4: Properties of Tor over ringsRichard E BorcherdsOctober 26, 2020 29 min★ ★ ★ ★ ★ 5/5Homological AlgebraTor FunctorCommutative Algebra
Formal & Physical Sciences MathematicsENHomological algebra 3: Tor over ringsRichard E BorcherdsOctober 25, 2020 24 min★ ★ ★ ★ ☆ 4/5Homological AlgebraTor FunctorGroup Homology
Formal & Physical Sciences MathematicsENHomological algebra 2: properties of TorRichard E BorcherdsOctober 24, 2020 27 min★ ★ ★ ★ ★ 5/5Homological AlgebraTor FunctorAbelian Groups
Formal & Physical Sciences MathematicsENHomological algebra 1: Tor for abelian groupsRichard E BorcherdsOctober 23, 2020 22 min★ ★ ★ ★ ★ 5/5Homological AlgebraTor FunctorAbelian Groups
Formal & Physical Sciences MathematicsENCommutative algebra 44 Flat modulesRichard E BorcherdsOctober 19, 2020 16 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraFlat ModulesProjective Modules
Formal & Physical Sciences MathematicsENCommutative algebra 43 (Stalkwise locally free modules)Richard E BorcherdsOctober 18, 2020 11 min★ ★ ★ ★ ★ 5/5Commutative AlgebraStalkwise Locally FreeProjective Modules
Formal & Physical Sciences MathematicsENCommutative algebra 42 Projective modulesRichard E BorcherdsOctober 17, 2020 22 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraProjective ModulesLocally Free Modules
Formal & Physical Sciences MathematicsENCommutative algebra 41 Locally free modulesRichard E BorcherdsOctober 16, 2020 18 min★ ★ ★ ★ ★ 5/5Commutative AlgebraLocally Free ModulesVector Bundles
Formal & Physical Sciences MathematicsENCommutative algebra 40 The Eilenberg Mazur swindleRichard E BorcherdsOctober 12, 2020 16 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraEilenberg-Mazur SwindleStably Free Modules