Algebra

Thema PBF

249 tuit · page 4/7
Rings 16 Factorization of polynomials
Formal & Physical Sciences Mathematics
EN

Rings 16 Factorization of polynomials

Richard E Borcherds
25 min
★ ★ ★ ★ ★ 5/5
Polynomial FactorizationIrreducibilityEisenstein's Criterion
RIngs 15 Polynomials
Formal & Physical Sciences Mathematics
EN

RIngs 15 Polynomials

Richard E Borcherds
29 min
★ ★ ★ ★ ★ 5/5
PolynomialsUnique FactorizationRings
RIngs 14 Limits and exactness
Formal & Physical Sciences Mathematics
EN

RIngs 14 Limits and exactness

Richard E Borcherds
22 min
★ ★ ★ ★ ★ 5/5
RingsModulesLimits
Rings 13 Colimits and exactness
Formal & Physical Sciences Mathematics
EN

Rings 13 Colimits and exactness

Richard E Borcherds
33 min
★ ★ ★ ★ ★ 5/5
Category TheoryColimitsExact Sequences
Categories 6 Monoidal categories
Formal & Physical Sciences Mathematics
EN

Categories 6 Monoidal categories

Richard E Borcherds
23 min
★ ★ ★ ★ ★ 5/5
Monoidal CategoriesCategory TheorySymmetric Monoidal Categories
Rings 9 Projective modules
Formal & Physical Sciences Mathematics
EN

Rings 9 Projective modules

Richard E Borcherds
34 min
★ ★ ★ ★ ★ 5/5
Projective ModulesHomological AlgebraVector Bundles
Rings 8 Free modules
Formal & Physical Sciences Mathematics
EN

Rings 8 Free modules

Richard E Borcherds
21 min
★ ★ ★ ★ ★ 5/5
Free ModulesRing TheoryRank
RIngs 7: Localization
Formal & Physical Sciences Mathematics
EN

RIngs 7: Localization

Richard E Borcherds
23 min
★ ★ ★ ★ ★ 5/5
LocalizationRing TheoryCommutative Algebra
Rings 6 Prime and maximal ideals
Formal & Physical Sciences Mathematics
EN

Rings 6 Prime and maximal ideals

Richard E Borcherds
29 min
★ ★ ★ ★ ★ 5/5
Prime IdealsMaximal IdealsSpectrum of a Ring
Rings and modules 4 Unique factorization
Formal & Physical Sciences Mathematics
EN

Rings and modules 4 Unique factorization

Richard E Borcherds
38 min
★ ★ ★ ★ ★ 5/5
Unique FactorizationIntegral DomainsEuclidean Domains
Rings and modules 2: Group rings
Formal & Physical Sciences Mathematics
EN

Rings and modules 2: Group rings

Richard E Borcherds
23 min
★ ★ ★ ★ ★ 5/5
Group RingsMonoid RingsIdempotents
Rings and modules 1 Introduction
Formal & Physical Sciences Mathematics
EN

Rings and modules 1 Introduction

Richard E Borcherds
30 min
★ ★ ★ ★ ★ 5/5
Ring TheoryModulesAbstract Algebra
Categories 5 Limits and colimits
Formal & Physical Sciences Mathematics
EN

Categories 5 Limits and colimits

Richard E Borcherds
31 min
★ ★ ★ ★ ★ 5/5
Category TheoryLimitsColimits
Categories 2: Functors
Formal & Physical Sciences Mathematics
EN

Categories 2: Functors

Richard E Borcherds
20 min
★ ★ ★ ★ ★ 5/5
Category TheoryFunctorsMathematics
Categories 1 Introduction
Formal & Physical Sciences Mathematics
EN

Categories 1 Introduction

Richard E Borcherds
24 min
★ ★ ★ ★ ★ 5/5
Category TheoryMathematicsAlgebra
Lie groups: Poincare-Birkhoff-Witt theorem
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
Dedekind domains: Introduction
Formal & Physical Sciences Mathematics
EN

Dedekind domains: Introduction

Richard E Borcherds
24 min
★ ★ ★ ★ ★ 5/5
Dedekind DomainsCommutative AlgebraAlgebraic Number Theory
Galois theory: Transcendental extensions
Formal & Physical Sciences Mathematics
EN

Galois theory: Transcendental extensions

Richard E Borcherds
34 min
★ ★ ★ ★ ★ 5/5
Galois TheoryTranscendental ExtensionsTranscendence Basis
Galois theory: Hilbert's theorem 90
Formal & Physical Sciences Mathematics
EN

Galois theory: Hilbert's theorem 90

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

Galois theory: Discriminants

Richard E Borcherds
17 min
★ ★ ★ ★ ★ 5/5
Galois TheoryDiscriminantField Extension
Galois theory: Norm and trace
Formal & Physical Sciences Mathematics
EN

Galois theory: Norm and trace

Richard E Borcherds
24 min
★ ★ ★ ★ ★ 5/5
Galois TheoryField ExtensionNorm
Galois theory: Wedderburn's theorem
Formal & Physical Sciences Mathematics
EN

Galois theory: Wedderburn's theorem

Richard E Borcherds
14 min
★ ★ ★ ★ ★ 5/5
Wedderburn's TheoremDivision AlgebraFinite Field
Galois theory: Cyclotomic polynomials
Formal & Physical Sciences Mathematics
EN

Galois theory: Cyclotomic polynomials

Richard E Borcherds
22 min
★ ★ ★ ★ ★ 5/5
Galois TheoryCyclotomic PolynomialsIrreducibility
Galois theory: Frobenius automorphism
Formal & Physical Sciences Mathematics
EN

Galois theory: Frobenius automorphism

Richard E Borcherds
21 min
★ ★ ★ ★ ★ 5/5
Galois TheoryFrobenius AutomorphismFinite Fields
Galois theory: Cubics and quartics
Formal & Physical Sciences Mathematics
EN

Galois theory: Cubics and quartics

Richard E Borcherds
17 min
★ ★ ★ ★ ★ 5/5
Galois TheoryCubic EquationsQuartic Equations
Galois theory: Kummer extensions
Formal & Physical Sciences Mathematics
EN

Galois theory: Kummer extensions

Richard E Borcherds
22 min
★ ★ ★ ★ ★ 5/5
Galois TheoryKummer ExtensionsCyclic Extensions
Galois theory: Abel's theorem
Formal & Physical Sciences Mathematics
EN

Galois theory: Abel's theorem

Richard E Borcherds
27 min
★ ★ ★ ★ ★ 5/5
Galois TheoryAbel's TheoremQuintic
Galois theory: Primitive elements
Formal & Physical Sciences Mathematics
EN

Galois theory: Primitive elements

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

Galois theory: Heptadecagon

Richard E Borcherds
23 min
★ ★ ★ ★ ★ 5/5
Galois TheoryConstructible PolygonsHeptadecagon
Galois theory: Main theorem
Formal & Physical Sciences Mathematics
EN

Galois theory: Main theorem

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

Galois theory: Galois extensions

Richard E Borcherds
27 min
★ ★ ★ ★ ★ 5/5
Galois TheoryField ExtensionsAlgebra
Galois theory: Separable extensions
Formal & Physical Sciences Mathematics
EN

Galois theory: Separable extensions

Richard E Borcherds
13 min
★ ★ ★ ★ ★ 5/5
Galois TheorySeparable ExtensionsField Theory