Algebra (470-3-61)

Instructors

John N K Francis

Meeting Info

Lunt Hall 101: Tues, Thurs 12:30PM - 1:50PM

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: 978-0-8218-4781-7
TITLE: Algebra: Chapter 0
AUTHOR: Aluffi
PUBLISHER: American Mathematical Society

Class Materials (Suggested)

No suggested materials. See required materials