Algebra

Thema PBF

233 tuit · page 4/6
Formal & Physical Sciences Mathematics
EN

Rings and modules 2: Group rings

Richard E Borcherds
23 min
5/5
Group RingsMonoid RingsIdempotents
Formal & Physical Sciences Mathematics
EN

Rings and modules 1 Introduction

Richard E Borcherds
30 min
5/5
Ring TheoryModulesAbstract Algebra
Formal & Physical Sciences Mathematics
EN

Categories 5 Limits and colimits

Richard E Borcherds
31 min
5/5
Category TheoryLimitsColimits
Formal & Physical Sciences Mathematics
EN

Categories 2: Functors

Richard E Borcherds
20 min
5/5
Category TheoryFunctorsMathematics
Formal & Physical Sciences Mathematics
EN

Categories 1 Introduction

Richard E Borcherds
24 min
5/5
Category TheoryMathematicsAlgebra
Formal & Physical Sciences Mathematics
EN

Lie groups: Poincare-Birkhoff-Witt theorem

Richard E Borcherds
30 min
5/5
Lie GroupsPoincaré-Birkhoff-Witt TheoremUniversal Enveloping Algebra
Formal & Physical Sciences Mathematics
EN

Dedekind domains: Introduction

Richard E Borcherds
24 min
5/5
Dedekind DomainsCommutative AlgebraAlgebraic Number Theory
Formal & Physical Sciences Mathematics
EN

Galois theory: Transcendental extensions

Richard E Borcherds
34 min
5/5
Galois TheoryTranscendental ExtensionsTranscendence Basis
Formal & Physical Sciences Mathematics
EN

Galois theory: Hilbert's theorem 90

Richard E Borcherds
35 min
5/5
Galois TheoryHilbert's Theorem 90Group Cohomology
Formal & Physical Sciences Mathematics
EN

Galois theory: Discriminants

Richard E Borcherds
17 min
5/5
Galois TheoryDiscriminantField Extension
Formal & Physical Sciences Mathematics
EN

Galois theory: Norm and trace

Richard E Borcherds
24 min
5/5
Galois TheoryField ExtensionNorm
Formal & Physical Sciences Mathematics
EN

Galois theory: Wedderburn's theorem

Richard E Borcherds
14 min
5/5
Wedderburn's TheoremDivision AlgebraFinite Field
Formal & Physical Sciences Mathematics
EN

Galois theory: Cyclotomic polynomials

Richard E Borcherds
22 min
5/5
Galois TheoryCyclotomic PolynomialsIrreducibility
Formal & Physical Sciences Mathematics
EN

Galois theory: Frobenius automorphism

Richard E Borcherds
21 min
5/5
Galois TheoryFrobenius AutomorphismFinite Fields
Formal & Physical Sciences Mathematics
EN

Galois theory: Cubics and quartics

Richard E Borcherds
17 min
5/5
Galois TheoryCubic EquationsQuartic Equations
Formal & Physical Sciences Mathematics
EN

Galois theory: Kummer extensions

Richard E Borcherds
22 min
5/5
Galois TheoryKummer ExtensionsCyclic Extensions
Formal & Physical Sciences Mathematics
EN

Galois theory: Abel's theorem

Richard E Borcherds
27 min
5/5
Galois TheoryAbel's TheoremQuintic
Formal & Physical Sciences Mathematics
EN

Galois theory: Primitive elements

Richard E Borcherds
15 min
5/5
Galois TheoryPrimitive ElementField Extension
Formal & Physical Sciences Mathematics
EN

Galois theory: Heptadecagon

Richard E Borcherds
23 min
5/5
Galois TheoryConstructible PolygonsHeptadecagon
Formal & Physical Sciences Mathematics
EN

Galois theory: Main theorem

Richard E Borcherds
18 min
5/5
Galois TheoryField TheoryGroup Theory
Formal & Physical Sciences Mathematics
EN

Galois theory: Galois extensions

Richard E Borcherds
27 min
5/5
Galois TheoryField ExtensionsAlgebra
Formal & Physical Sciences Mathematics
EN

Galois theory: Separable extensions

Richard E Borcherds
13 min
5/5
Galois TheorySeparable ExtensionsField Theory
Formal & Physical Sciences Mathematics
EN

Galois theory: Normal extensions

Richard E Borcherds
19 min
5/5
Galois TheoryNormal ExtensionsField Theory
Formal & Physical Sciences Mathematics
EN

Galois theory: Finite fields

Richard E Borcherds
30 min
5/5
Finite FieldsGalois TheorySplitting Fields
Formal & Physical Sciences Mathematics
EN

Galois theory: Algebraic closure

Richard E Borcherds
32 min
5/5
Galois TheoryAlgebraic ClosureField Theory
Formal & Physical Sciences Mathematics
EN

Galois theory: Splitting fields

Richard E Borcherds
23 min
5/5
Galois TheorySplitting FieldField Extension
Formal & Physical Sciences Mathematics
EN

Galois theory: Field extensions

Richard E Borcherds
27 min
5/5
Galois TheoryField ExtensionsAlgebraic Numbers
Formal & Physical Sciences Mathematics
EN

Galois theory: Introduction

Richard E Borcherds
24 min
5/5
Galois TheoryMathematicsAlgebra
Formal & Physical Sciences Mathematics
EN

Commutative algebra 65: Fitting ideals

Richard E Borcherds
21 min
5/5
Commutative AlgebraFitting IdealsModule Theory
Formal & Physical Sciences Mathematics
EN

Commutative algebra 63: Koszul complex

Richard E Borcherds
23 min
5/5
Koszul ComplexRegular SequenceCommutative Algebra