Class Notes for Modern Algebra - Spring 2003
Math 5530
Chapter I: Rings, Modules, and Algebras
Section 1: Definitions, Examples. (
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- February 4, 2003)
Section 2: Ideals and Homomorphisms. (
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- February 4, 2003)
Section 3: Quotient Rings and the Ring Isomorphism Theorems. (
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- February 4, 2003)
Section 4: Polynomials Rings I: R[[x]] and R[x]. (
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- February 4, 2003)
Section 5: Modules. (
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- February 4, 2003)
Section 6: Free Modules. (
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- February 4, 2003)
Section 7: Appendix: Some Linear Algebra -- Coordinates. (
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- February 4, 2003)
Section 8: Appendix: Qualifier Problems. (
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- February 11, 2003)
Chapter II: Rings and Modules -- Beyond Basic Properties
Section 1: Overview: Polynomial Rings, polynomial equations, and Algebraic Geometry. (
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- February 11, 2003)
Section 2: Noetherian Rings and Modules. (
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- February 18, 2003)
Section 3: Localization. (
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- February 18, 2003)
Section 4: Factorization. (
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- February 25, 2003)
Section 5: Semisimple Rings and Modules. (
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- April 17, 2003)
Chapter III: Field Theory
Section 1: (Pretty crude notes...) (
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- April 30, 2003)
Complete notes so far. (
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- April 17, 2003)
Course notes from Math 5530, Spring 1997. (
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- contains a few errors)
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Last modified: Wed Apr 30 16:04:55 CDT 2003