Ring Theory Lectures
19 videos • 2,324 views • by For Your Math
Lectures on topics in ring theory. This material is based on a course I took from Professor Gautam at Ohio State University.
1
Ring Lecture 1.1: Preliminary Definitions
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2
Ring Lecture 1.2: Ring Homomorphisms
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3
Ring Lecture 1.3: Ring Isomorphism Theorems
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4
Ring Lecture 2.1: Generated and Principal Ideals
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5
Ring Lecture 2.2: Chinese Remainder Theorem
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6
Ring Lecture 3: Prime and Maximal Ideals
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7
Ring Lecture 4.1: Maximal Ideal Existence
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8
Ring Lecture 4.2: The Nilradical and Local Rings
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9
Ring Lecture 5: Prime Avoidance
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10
Ring Lecture 6.1: Modules and Direct Sums and Products
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11
Ring Lecture 6.2: Module Short Exact Sequences
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12
Ring Lecture 6.3: Tensor Products of Modules
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13
Ring Lecture 7.1: Rings of Fractions
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14
Ring Lecture 7.2: Rings and Modules of Fractions
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15
Ring Lecture 7.3: Localization
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16
Ring Lecture 8.1: Prime Ideals and Exact Sequences of Fractions
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17
Ring Lecture 8.2: Noetherian Rings
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18
Ring Lecture 9.1: Noetherian Modules
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19
Ring Lecture 9.2: Hilbert Basis Theorem Part 1
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