2009 Fall MATH 251-01
Bulletin Course Description Groups including nilpotent and solvable groups, p-groups and Sylow theorems; rings and modules including classification of modules over a PID and applications to linear algebra; fields including extensions and Galois theory. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title GROUPS RINGS & FIELDS Department MATH Course Number 2009 Fall 251 Section Number 01 Primary Instructor Miller,Ezra Prerequisites Prerequisite: Mathematics 201 or equivalent.
Synopsis of course content
Elementary group theory. Rings: ideals and finitenes conditions; principal ideal domains and unique factorization domains; modules. Field theory: finite, normal, separable, algebraic, and transcendental extensions; finite fields; Galois theory.
Textbooks
Text will be one of the following:
Abstract Algebra, by Dummit and Foote or
Algebra, by Michael Artin or
Algebra, by Serge Lang
Assignments
Biweekly written assignments
Exams
Midtem and Final
Grade to be based on
homework and exams
