MATH2070A - Algebraic Structures - 2021/22

Course Name: 
Course Year: 


  • First Class is Monday September 6th - there will be no tutorial this week.
  • See Blackboard for lecture notes.

General Information


  • Michael McBreen
    • Office: Room 235, Lady Shaw Building
    • Email:
    • Office Hours: TBA

Teaching Assistant

  • Cheung-Chin Ho
    • Email:
    • Office Hours: TBA
  • Ng Ming Ho
    • Email:
    • Office Hours: TBA

Time and Venue

  • Lecture: Mondays 3:30-4:15PM Wu Ho Man Yuen Bldg 301, Wednesdays 2:30-4:15 Wu Ho Man Yuen Bldg 306
  • Tutorial: Mondays 2:30PM - 3:15PM Wu Ho Man Yuen Bldg 301.

Course Description

In this course, you will learn the fundamentals of modern algebra.

Topics include : • Groups - examples of groups such as the permutation group, the dihedral groups and the cyclic groups. Subgroups, Lagrange's theorem and group homomorphisms. • Rings - examples of rings such as the ring of integers and polynomial rings. Integral domains, fields, ring homomorphisms, ideals and quotient rings. • Fields - examples of field extensions and finite fields.

Pre-class Notes

Lecture Notes

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: September 16, 2021 11:28:14