Mathematics

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Formal & Physical Sciences Mathematics
EN

RIngs 22 Hensel's lemma

Richard E Borcherds
18 min
5/5
Hensel's LemmaP-Adic NumbersPower Series
Formal & Physical Sciences Mathematics
EN

Rings 21 Formal power series

Richard E Borcherds
38 min
5/5
Formal Power SeriesNoetherian RingsUnique Factorization Domain
Formal & Physical Sciences Mathematics
EN

Rings 20 Resultants

Richard E Borcherds
23 min
5/5
ResultantDiscriminantSylvester Matrix
Formal & Physical Sciences Mathematics
EN

RIngs 19 Symmetric functions

Richard E Borcherds
27 min
5/5
Symmetric FunctionsElementary Symmetric PolynomialsNewton's Identities
Formal & Physical Sciences Mathematics
EN

Rings 18 Hilbert's theorems

Richard E Borcherds
30 min
5/5
Hilbert's Basis TheoremNoetherian RingsInvariant Theory
Formal & Physical Sciences Mathematics
EN

Rings 17 Noetherian rings

Richard E Borcherds
27 min
5/5
Noetherian RingsCommutative AlgebraRing Theory
Formal & Physical Sciences Mathematics
EN

Rings 16 Factorization of polynomials

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

RIngs 15 Polynomials

Richard E Borcherds
29 min
5/5
PolynomialsUnique FactorizationRings
Formal & Physical Sciences Mathematics
EN

RIngs 14 Limits and exactness

Richard E Borcherds
22 min
5/5
RingsModulesLimits
Formal & Physical Sciences Mathematics
EN

Rings 13 Colimits and exactness

Richard E Borcherds
33 min
5/5
Category TheoryColimitsExact Sequences
Formal & Physical Sciences Mathematics
EN

Categories 6 Monoidal categories

Richard E Borcherds
23 min
5/5
Monoidal CategoriesCategory TheorySymmetric Monoidal Categories
Formal & Physical Sciences Mathematics
EN

Rings 9 Projective modules

Richard E Borcherds
34 min
5/5
Projective ModulesHomological AlgebraVector Bundles
Formal & Physical Sciences Mathematics
EN

Rings 8 Free modules

Richard E Borcherds
21 min
5/5
Free ModulesRing TheoryRank
Formal & Physical Sciences Mathematics
EN

RIngs 7: Localization

Richard E Borcherds
23 min
5/5
LocalizationRing TheoryCommutative Algebra
Formal & Physical Sciences Mathematics
EN

Rings 6 Prime and maximal ideals

Richard E Borcherds
29 min
5/5
Prime IdealsMaximal IdealsSpectrum of a Ring
Formal & Physical Sciences Mathematics
EN

Rings and modules 4 Unique factorization

Richard E Borcherds
38 min
5/5
Unique FactorizationIntegral DomainsEuclidean Domains
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 4 Adjoint functors

Richard E Borcherds
15 min
5/5
Category TheoryAdjoint FunctorsFree Functor
Formal & Physical Sciences Mathematics
EN

Categories 3 Natural transformations

Richard E Borcherds
15 min
5/5
Category TheoryNatural TransformationsNatural Isomorphisms
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

Ali Enayat: Tight Theories

Ali Enayat
55 min
4/5
Mathematical LogicInterpretabilityPeano Arithmetic