Modules / Lectures

Sl.No Chapter Name MP4 Download
2Group AxiomsDownload
3Order and ConjugacyDownload
5Problem solvingDownload
6Group ActionsDownload
8Group HomomorphismsDownload
9Normal subgroupsDownload
10Qutient GroupsDownload
11Product and Chinese Remainder TheoremDownload
12Dihedral GroupsDownload
13Semidirect productsDownload
14Problem solving Download
15The Orbit Counting TheoremDownload
16Fixed points of group actionsDownload
17Second application: Fixed points of group actionsDownload
18Sylow Theorems - a preliminary propositionDownload
19Sylow Theorem IDownload
20Problem solving IDownload
21Problem solving IIDownload
22Sylow Theorem IIDownload
23Sylow Theorem IIIDownload
24Problem solving I Download
25Problem solving II Download
26Free Groups IDownload
27Free Groups IIaDownload
28Free Groups IIbDownload
29Free Groups IIIDownload
30Free Groups IVDownload
31Problem Solving/ExamplesDownload
32Generators and relations for symmetric groups – IDownload
33Generators and relations for symmetric groups – IIDownload
34Definition of a RingDownload
35Euclidean DomainsDownload
36Gaussian IntegersDownload
37The Fundamental Theorem of ArithmeticDownload
38Divisibility and IdealsDownload
39Factorization and the Noetherian ConditionDownload
40Examples of Ideals in Commutative RingsDownload
41Problem Solving/Examples Download
42The Ring of Formal Power SeriesDownload
43Fraction FieldsDownload
44Path Algebra of a QuiverDownload
45Ideals In Non-Commutative RingsDownload
46Product of RingsDownload
47Ring HomomorphismsDownload
48Quotient RingsDownload
49Problem solving Download
50Tensor and Exterior AlgebrasDownload
51Modules : definitionDownload
52Modules over polynomial rings $K[x]$Download
53Modules: alternative definitionDownload
54Modules: more examplesDownload
56General constructions of submodulesDownload
57Problem- SolvingDownload
58Quotient modulesDownload
59Homomorphisms Download
60More examples of homomorphismsDownload
61First isomorphism theoremDownload
62Direct sums of modulesDownload
63Complementary submodulesDownload
64Change of ringDownload
65Problem solvingDownload
66Free Modules (finitely generated)Download
68Primary DecompositionDownload
69Problem solving Download
70Finitely generated modules and the Noetherian conditionDownload
71Counterexamples to the Noetherian conditionDownload
72Generators and relations for Finitely Generated ModulesDownload
73General Linear Group over a Commutative RingDownload
74Equivalence of MatricesDownload
75Smith Canonical Form for a Euclidean domainDownload
77Smith Canonical Form for PIDDownload
78Structure of finitely generated modules over a PIDDownload
79Structure of a finitely generated abelian groupDownload
80Similarity of MatricesDownload
81Deciding SimilarityDownload
82Rational Canonical FormDownload
83Jordan Canonical FormDownload

Sl.No Chapter Name English
2Group AxiomsDownload
3Order and ConjugacyDownload
5Problem solvingDownload
6Group ActionsPDF unavailable
7CosetsPDF unavailable
8Group HomomorphismsPDF unavailable
9Normal subgroupsPDF unavailable
10Qutient GroupsPDF unavailable
11Product and Chinese Remainder TheoremPDF unavailable
12Dihedral GroupsPDF unavailable
13Semidirect productsPDF unavailable
14Problem solving PDF unavailable
15The Orbit Counting TheoremPDF unavailable
16Fixed points of group actionsPDF unavailable
17Second application: Fixed points of group actionsPDF unavailable
18Sylow Theorems - a preliminary propositionPDF unavailable
19Sylow Theorem IPDF unavailable
20Problem solving IPDF unavailable
21Problem solving IIPDF unavailable
22Sylow Theorem IIPDF unavailable
23Sylow Theorem IIIPDF unavailable
24Problem solving I PDF unavailable
25Problem solving II PDF unavailable
26Free Groups IPDF unavailable
27Free Groups IIaPDF unavailable
28Free Groups IIbPDF unavailable
29Free Groups IIIPDF unavailable
30Free Groups IVPDF unavailable
31Problem Solving/ExamplesPDF unavailable
32Generators and relations for symmetric groups – IPDF unavailable
33Generators and relations for symmetric groups – IIPDF unavailable
34Definition of a RingPDF unavailable
35Euclidean DomainsPDF unavailable
36Gaussian IntegersPDF unavailable
37The Fundamental Theorem of ArithmeticPDF unavailable
38Divisibility and IdealsPDF unavailable
39Factorization and the Noetherian ConditionPDF unavailable
40Examples of Ideals in Commutative RingsPDF unavailable
41Problem Solving/Examples PDF unavailable
42The Ring of Formal Power SeriesPDF unavailable
43Fraction FieldsPDF unavailable
44Path Algebra of a QuiverPDF unavailable
45Ideals In Non-Commutative RingsPDF unavailable
46Product of RingsPDF unavailable
47Ring HomomorphismsPDF unavailable
48Quotient RingsPDF unavailable
49Problem solving PDF unavailable
50Tensor and Exterior AlgebrasPDF unavailable
51Modules : definitionPDF unavailable
52Modules over polynomial rings $K[x]$PDF unavailable
53Modules: alternative definitionPDF unavailable
54Modules: more examplesPDF unavailable
55SubmodulesPDF unavailable
56General constructions of submodulesPDF unavailable
57Problem- SolvingPDF unavailable
58Quotient modulesPDF unavailable
59Homomorphisms PDF unavailable
60More examples of homomorphismsPDF unavailable
61First isomorphism theoremPDF unavailable
62Direct sums of modulesPDF unavailable
63Complementary submodulesPDF unavailable
64Change of ringPDF unavailable
65Problem solvingPDF unavailable
66Free Modules (finitely generated)PDF unavailable
67DeterminantsPDF unavailable
68Primary DecompositionPDF unavailable
69Problem solving PDF unavailable
70Finitely generated modules and the Noetherian conditionPDF unavailable
71Counterexamples to the Noetherian conditionPDF unavailable
72Generators and relations for Finitely Generated ModulesPDF unavailable
73General Linear Group over a Commutative RingPDF unavailable
74Equivalence of MatricesPDF unavailable
75Smith Canonical Form for a Euclidean domainPDF unavailable
76solved_problems1PDF unavailable
77Smith Canonical Form for PIDPDF unavailable
78Structure of finitely generated modules over a PIDPDF unavailable
79Structure of a finitely generated abelian groupPDF unavailable
80Similarity of MatricesPDF unavailable
81Deciding SimilarityPDF unavailable
82Rational Canonical FormPDF unavailable
83Jordan Canonical FormPDF unavailable

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