Abstract Algebra II
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Here is is a textbook that I wrote for MTH 561 and 562.
Office Hours: via Zoom, Wed and Thurs at 3-4pm Here is the syllabus. | ||
| Assignment | Due Date | Topics |
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Homework 1 Solutions |
Mon, Jan 29 |
Classical Problem of Algebra Preview of Galois' Theorem Field of Fractions of a Domain Quadratic Field Extensions |
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Homework 2 Solutions |
Fri, Feb 9 |
Ideals and Quotient Rings Prime and Maximal Ideals Euclidean Domains Unique Prime Factorization |
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Homework 3 Solutions |
Fri, Mar 1 |
Evaluation of Polynomials First Isomorphism Theorem for Rings Minimal Polynomials |
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Exam 1: Fri, Mar 8 Solutions | ||
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Homework 4 |
Fri, Mar 29 |
Primitive Nth Roots of Unity Cyclotomic Polynomials Existence of Splitting Fields Symmetric Polynomials |
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Homework 5 |
Fri, Apr 12 |
Fundamental Theorem of Algebra Finite Fields |
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Homework 6 |
Wed, May 8 |
Cyclotomic Fields Galois Groups The Gauss-Wantzel Theorem Intro to Galois Theory |