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Lecture
1
(May 02, 2003)
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Rings |
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Lecture
2 (May 05, 2003)
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Rings -- Continued
--Prime rings |
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Lecture
3 (May 07, 2003)
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Modules |
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Lecture
4 (May 09, 2003)
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Submodules -- Generating
Systems, minimal generating systems |
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Lecture
5 (May 12, 2003) |
Set Theory -- Zorn's
lemma and applications |
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Lecture
6 (May 14, 2003)
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Ideals, Submodules
-- Maximal ideals, maximal submodules, Krull's theorem |
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Lecture
7 (May 16, 2003)
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Linear equations
-- Gauss Elimination |
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Lecture
8 (May 19, 2003) |
Linear independence,
Bases, Free Modules
-- Bases of vector spaces, Dimension of vector spaces |
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Lecture
9 (May
21, 2003) |
Rank of free
modules over commutative rings |
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Lecture
10 (May
23, 2003) |
Algebras over commutative rings |
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Lecture 11
(May 26, 2003) |
Homomorphisms of
rings and modules |
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Lecture 12
(May 28, 2003) |
Isomorphism theorem
for rings --Comaximal
ideals, Chinese remainder theorem |
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Lecture 13
(May 30, 2003) |
Quotient rings -- Real
number fields |
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Lecture 14
(June
02, 2003) |
Homomorphisms of
modules -- Rank
theorem, Quotient modules, Isomorphism theorems |
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Lecture 15
(June
05, 2003) |
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