 
Summary: Mathematics 128B
Spring 2004
Instructor: Professor R. Alperin: Office: Duncan 239; Telephone: 9245066;
Office hours: 10:3011:30; 1:303:00TR,
Text: A First Course in Abstract Algebra, J. Fraleigh, 7th Edition, Addison
Wesley
Course: Abstract Algebra
In this course we will continue the study of abstract algebraic structures ini
tiated in Math 128A with an in depth treatment of rings and fields. The
modern theory of rings includes not only the basic homomorphism theorems
and theory of ideals but a study of the important classes of Euclidean rings,
principal ideal domains and unique factorization domains, including appli
cations to number theory. The theory of fields includes the development of
Galois Theory together with important consequences for solving polynomial
equations using radicals, the resolution of several famous ruler and compass
problems of the ancients (trisection of angles, doubling the cube and squaring
the circle), the structure of finite fields and algebraic coding theory.
Prerequisites are Math 42, 128A 129A with grades of C or better. Final
grade based on 350 point total on tests; notebook of homework assignments
to be collected during each exam or when announced in class.
