Dept Banner
Dept Banner

Course Descriptions

16:640:552 - Abstract Algebra II

This is a standard course for second semester graduate students. It covers fields and Galois Theory, basic Ring & Module theory, and elementary homological algebra.

Prerequisites:

Algebra I (640:551) or its equivalent


Basic Field Theory: Galois groups, separable and inseparable extensions, solutions of equations, finite fields.
Noetherian rings: chain conditions, Hilbert Basis Theorem, Noether normalization, Hilbert Nullstellensatz.
Basic module theory: Tensor Product, Projective and injective modules, resolutions, baby homological algebra.
Finite-dimensional algebras: Simple and semisimple algebras, Artin-Wedderburn Theorem, group rings.


Main Text: N. Jacobson, Basic Algebra I, II

Last Updated: May 2015


Current Semester:


Sections Taught This Semester:

For more information on instructors and sections for this course, please see our Teaching Schedule Page


Previous Semesters

Contact Us

HillCenter small

Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530