MATH2070B - Algebraic Structures - 2021/22

Announcement

• This course will be mainly administered at blackboard.cuhk.edu.hk. Go there for more information.

General Information

Lecturer

• YU Jiu-Kang
  • Office: 411 AB1
  • Tel: 3943-3716
  • Email:
  • Office Hours: TBA

Teaching Assistant

• LIN Zichao
  • Office: 407B AB1
  • Tel: 3943-3720
  • Email:
  • Office Hours: TBA
• SHEN Jianhao
  • Office: 407B AB1
  • Tel: 3943-3720
  • Email:
  • Office Hours: TBA

Course Description

This course is intended as an introduction to modern abstract algebra and the algebraic way of thinking in advanced mathematics. The course focuses on basic algebraic concepts which arise in various areas of advanced mathematics, and emphasizes on the underlying algebraic structures which are common to various concrete mathematical examples.

Topics include: • Group Theory - examples of groups including permutation and dihedral groups, subgroups, the Theorem of Lagrange, group homomorphisms. • Ring Theory - examples of rings including the ring of integers and polynomial rings, integral domains, fields, ring homomorphisms, ideals and quotient rings. • Field Theory - examples of field extensions and finite fields.

Textbooks

• Fraleigh, A First Course in Abstract Algebra, 7th edition, Pearson
• M. Artin: Algebra, 2nd edition, Prentice Hall

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.