Module code: MTH6106
Credits: 15.0
Semester: SEM1
Contact: Dr Lubna Shaheen
Prerequisite: Before taking this module you must take MTH4104 and take at least 1 and no more than 99 modules from level 5 matching mth
This is a second module in algebraic structures, covering more advanced aspects of group theory and ring theory as well as introducing the theory of modules. There is a strong emphasis on abstract thinking and proof. The group theory portion includes the basics of group actions, finite p-groups, Sylow theorems and applications, and the Jordan-Holder theorem. In ring theory, matrix rings and Noetherian rings are studied. After studying the basic theory of modules, the structure of finitely generated modules over Euclidean domains is determined.
Connected course(s): UDF DATA
Assessment: 80.0% Examination, 20.0% Coursework
Level: 6