IMM Pakistan Student 2025 - 2027
LEARN MORE
IMM Pakistan / 2024 - 2025
Advanced Algebra (M1)
TEACHING TEAM
Content
Course description
The aim of this course is to introduce students to the foundations of modern algebra. Modern algebra is the study of algebraic structures, which are constructed by endowing sets with specific operations acting on their elements. Examples of such structures are groups, rings, fields and vector spaces. To study these structures it's particularly instructive to look at homomorphisms between such structures, which are maps that preserve the algebraic structure of the objects.
In the course we cover groups, group actions, rings, modules, fields and Galois theory.
Materials
References
References
The main reference for Group theory:
Stevenhagen, P. (2025). Algebra 1 (R. Erné, Trans., preliminary version) [Course notes]. Leiden University.
The main reference for Field theory:
Stevenhagen, P. (2020). Algebra 3 (R. Erné, Trans.) [Course notes]. Leiden University.
These lecture notes can be found on the following website
LEARN MORE ABOUT
INTERNATIONAL MATHEMATICS MASTER
FACULTY
STUDENTS
CAMPUS
EVENTS CALENDAR
SUCCESS STORIES
ADMISSIONS
Applicants Are Divided Into Two Groups: "International Applicants" Who Have Foreign Citizenship And "Pakistani Applicants" Who Either Hold Pakistani Citizenship, Have Dual Citizenship, Or Are Pakistanis Residing Outside The Country.
