Course : P-01. Abstract Algebra
Subject : Mathematics
No. of Modules : 74
| 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 ã¢â€â“ 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 ã¢â€â“ 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 |
