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Module Details

Course : P-01. Abstract Algebra

Subject : Mathematics

No. of Modules : 74

Level : PG

Source : E-PG Pathshala

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Sr. No. Title E-Text Video URL Metadata
1 M-04. the fundamental theorem of finite abelian groups: existence - Click Here
2 M-03. primary decomposition theorem for finite abelian groups - Click Here
3 M-02. internal direct product of groups - Click Here
4 M-01. external direct product of groups - Click Here
5 M-05. fundamental theorem of finite abelian groups : uniqueness - Click Here
6 M-07. cauchy's theorem and it's consequences - Click Here
7 M-10. sylow's second and third theorems - Click Here
8 M-11. applications of sylow theorems - Click Here
9 M-09. sylow's first theorem - Click Here
10 M-06. conjugacy class equation - Click Here
11 M-13. solvable group - i - Click Here
12 M-12. nilpotent groups - Click Here
13 M-08. group action - Click Here
14 M-19. irreducibility of polynomials over a field - Click Here
15 M-17. division algorithm and its consequences - Click Here
16 M-22. divisibility in commutative rings - Click Here
17 M-16. introduction to polynomials - Click Here
18 M-20. maximal ideals - Click Here
19 M-21. prime ideals - Click Here
20 M-18. from arithmetic to polynomials - Click Here
21 M-14. solvable groups ii - Click Here
22 M-15. jordan-holder theorem - Click Here
23 M-23. prime and irreducible elements - Click Here
24 M-26. the ring of gaussian integers - Click Here
25 M-24. euclidean and principal ideal domains - Click Here
26 M-30. splitting fields of a polynomial - Click Here
27 M-31. uniqueness of splitting fields - Click Here
28 M-25. unique factorization domains - Click Here
29 M-27. extensions of fields - Click Here
30 M-28. minimal polynomials - Click Here
31 M-29. algebraic extensions - Click Here
32 M-37. wedderburn's theorem on finite division rings - Click Here
33 M-33. existence and uniqueness of galois fields - Click Here
34 M-35. constructions with straightedge and compass - Click Here
35 M-34. characterizations of galois fields - Click Here
36 M-36. constructibility of real numbers - Click Here
37 M-32. separability of polynomials - Click Here
38 M-04. the fundamental theorem of finite abelian groups: existence - Click Here
39 M-05. fundamental theorem of finite abelian groups : uniqueness - Click Here
40 M-03. primary decomposition theorem for finite abelian groups - Click Here
41 M-07. cauchy's theorem and it's consequences - Click Here
42 M-02. internal direct product of groups - Click Here
43 M-01. external direct product of groups - Click Here
44 M-06. conjugacy class equation - Click Here
45 M-08. group action - Click Here
46 M-17. division algorithm and its consequences - Click Here
47 M-16. introduction to polynomials - Click Here
48 M-10. sylow's second and third theorems - Click Here
49 M-11. applications of sylow theorems - Click Here
50 M-09. sylow's first theorem - Click Here
51 M-14. solvable groups ii - Click Here
52 M-15. jordan-holder theorem - Click Here
53 M-13. solvable group - i - Click Here
54 M-12. nilpotent groups - Click Here
55 M-19. irreducibility of polynomials over a field - Click Here
56 M-22. divisibility in commutative rings - Click Here
57 M-23. prime and irreducible elements - Click Here
58 M-20. maximal ideals - Click Here
59 M-21. prime ideals - Click Here
60 M-26. the ring of gaussian integers - Click Here
61 M-24. euclidean and principal ideal domains - Click Here
62 M-18. from arithmetic to polynomials - Click Here
63 M-25. unique factorization domains - Click Here
64 M-33. existence and uniqueness of galois fields - Click Here
65 M-35. constructions with straightedge and compass - Click Here
66 M-30. splitting fields of a polynomial - Click Here
67 M-34. characterizations of galois fields - Click Here
68 M-31. uniqueness of splitting fields - Click Here
69 M-32. separability of polynomials - Click Here
70 M-27. extensions of fields - Click Here
71 M-28. minimal polynomials - Click Here
72 M-29. algebraic extensions - Click Here
73 M-37. wedderburn's theorem on finite division rings - Click Here
74 M-36. constructibility of real numbers - Click Here