Algebra (470-2-61)

Instructors

Boris L Tsygan
847/491-5598
Lunt Hall Rm 302

Meeting Info

Lunt Hall 101: Mon, Wed, Fri 12:00PM - 12:50PM

Overview of class

Free, permutation, solvable, simple, and linear groups. Actions of groups on sets; Sylow theorems. Rings and modules: polynomials and power series, Euclidean domains, PIDs, UFDs, and free and projective modules. Field and Galois theory. Extensions: algebraic, transcendental, normal, and integral. Splitting fields. Wedderburn theory. Commutative algebra: prime ideals; localization. Homological algebra: linear algebra, abelian categories, complexes and homology, projective and injective resolutions, homotopies.

Class Materials (Required)

ISBN: 9781470465711
Title: Algebra: Chapter 0
Author: Paolo Aluffi
Publisher: American Mathematical Society

Class Materials (Suggested)

No materials suggested. See required materials