Algebra (470-1-61)

Instructors

John N K Francis

Meeting Info

Lunt Hall 103: 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)

978-0-8218-4781-7
Algebra: Chapter 0
Paolo Aluffi
American Math Society

Class Materials (Suggested)

No suggested materials. See required materials