# Abstract Algebra II

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 |
---|---|---|

Homework 1 Solutions |
Mon, Jan 29 |
Classical Problem of Algebra Preview of Galois' Theorem Field of Fractions of a Domain Quadratic Field Extensions |

Homework 2 Solutions |
Fri, Feb 9 |
Ideals and Quotient Rings Prime and Maximal Ideals Euclidean Domains Unique Prime Factorization |

Homework 3 Solutions |
Fri, Mar 1 |
Evaluation of Polynomials First Isomorphism Theorem for Rings Minimal Polynomials |

Exam 1: Fri, Mar 8 Solutions | ||

Homework 4 Solutions |
Fri, Mar 29 |
Primitive Nth Roots of Unity Cyclotomic Polynomials Existence of Splitting Fields Symmetric Polynomials |

Homework 5 Solutions |
Fri, Apr 12 |
Fundamental Theorem of Algebra Finite Fields Galois Theory of Finite Fields |

Homework 6 Solutions |
Wed, May 8 |
Cyclotomic Fields Galois Theory of Cyclotomic Fields The Gauss-Wantzel Theorem Unsolvability of the Quintic Sketch of Galois Theory |