Abstract Algebra



                                                 ab - ba = a beautiful mind




WVU Home

Department of Mathematics

Career Links

Undergraduate Catalog Information (pdf)

Graduate Program Infomation

Back to Hong-Jian Lai's Home page

Some words to the students

Lecture Notes

Homework Assignments (to be refreshed frequently)

Solutions (Homework and Exam)

Reschedule of Class Meetings (Effective on and after August 28, 2006)


OFFICE: Armstrong Hall, 308K


OFFICE HOURS: Mondays, Wednesdays and Fridays, 12:30 – 1:30PM


TEXTBOOK: Algebra, by Thomas Hungerford


GOALS: The goals of this sequence of algebra courses are to impact an appreciation of algebra from both applied and pure math view points, and to help students build up the mathematical competence in this essential and important tool of mathematics.


COURSE DESCRIPTION: In the first semester, the following topics will be covered. Groups and the structure of groups (through the discussions on subgroups, normal subgroups, quotient groups, products, centralizers and normalizers, normal sequences, among others), elementary ring theory, factorization, PIDs and UFDs, polynomials and power series, elementary properties of modules and vector spaces.  In the Second semester, some of the topics covered will be the theory of modules, (free, injective and projective modules), field theory and Galois theory. If time permits, we will also discuss other topics including finite fields, modules over finite commutative rings and/or lattice theory.


HOMEWORK and EXAMS: Homework will be assigned and collected every other week. Your homework average will contribute 25% of your grade. There will be three midterm exams (together comprising 50% of your grade) and a final worth 25% of your grade.





90% and up








59% and down








Page Last Modified: 08.16.06