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
Formal & Physical Sciences MathematicsENCommutative algebra 39 (Stably free modules)Richard E BorcherdsOctober 10, 2020 24 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraStably Free ModulesProjective Modules
Formal & Physical Sciences MathematicsENCommutative algebra 37 Blowup algebrasRichard E BorcherdsOctober 7, 2020 22 min★ ★ ★ ★ ★ 5/5Commutative AlgebraBlowup AlgebrasRees Algebra
Formal & Physical Sciences MathematicsENCommutative algebra 36 Artin Rees lemmaRichard E BorcherdsOctober 5, 2020 18 min★ ★ ★ ★ ★ 5/5Commutative AlgebraArtin-Rees LemmaNoetherian Rings
Formal & Physical Sciences MathematicsENCommutative algebra 35 Nakayama's lemmaRichard E BorcherdsOctober 4, 2020 17 min★ ★ ★ ★ ★ 5/5Nakayama's LemmaCommutative AlgebraLocal Rings
Formal & Physical Sciences MathematicsENCommutative algebra 34 Geometry of normalizationsRichard E BorcherdsOctober 3, 2020 23 min★ ★ ★ ★ ★ 5/5Commutative AlgebraAlgebraic GeometryNormalization
Formal & Physical Sciences MathematicsENScaler Product of Two Vectors: Introduction & Properties - BSc Physics Series - by Shilpy BhullarShilpy BhullarSeptember 12, 2020 28 min★ ★ ★ ★ ☆ 4/5Scalar ProductDot ProductVector Algebra
Formal & Physical Sciences MathematicsENPositive definite matrix and the Taylor expansionDr. Eitan FarchiSeptember 7, 2020 21 min★ ★ ★ ★ ☆ 4/5Positive Definite MatrixTaylor ExpansionHessian Matrix
Formal & Physical Sciences MathematicsENCommutative algebra 33 (Integral elements)Richard E BorcherdsSeptember 2, 2020 27 min★ ★ ★ ★ ★ 5/5Commutative AlgebraIntegral ElementsIntegral Closure
Formal & Physical Sciences MathematicsENCommutative algebra 32 Zariski's lemmaRichard E BorcherdsSeptember 1, 2020 23 min★ ★ ★ ★ ★ 5/5Commutative AlgebraZariski's LemmaNullstellensatz
Formal & Physical Sciences MathematicsENLecture 1 (1st Semester) - Basic Concepts of Vector AlgebraPhysics for UnderGraduatesAugust 31, 2020 43 min★ ★ ☆ ☆ ☆ 2/5Vector AlgebraPhysicsUndergraduate
Formal & Physical Sciences MathematicsENCommutative algebra 31 (Nullstellensatz)Richard E BorcherdsAugust 31, 2020 27 min★ ★ ★ ★ ★ 5/5Commutative AlgebraNullstellensatzAlgebraic Geometry
Formal & Physical Sciences MathematicsENCommutative algebra 30 Symbolic powersRichard E BorcherdsAugust 30, 2020 22 min★ ★ ★ ★ ★ 5/5Commutative AlgebraPrimary IdealsSymbolic Powers
Formal & Physical Sciences MathematicsENCommutative algebra 29 The Lasker Noether theoremRichard E BorcherdsAugust 29, 2020 24 min★ ★ ★ ★ ★ 5/5Commutative AlgebraLasker-Noether TheoremPrimary Decomposition