**Title of the course: **Introduction to Module Theory**
Instructor: **Prof. Ali Nesin

**İstanbul Bilgi Ü.**

Institution:

Institution:

**28 August – 10 September 2017**

Dates:

Dates:

**Familiarity with ring theory**

Prerequisites:

Prerequisites:

**Math majors, 3rd year and above, and graduate students**

Level:

Level:

**Definition and basic properties. Examples: Direct sums and products, vector spaces,**

Abstract:

Abstract:

group rings as modules, the concept of algebra. Submodules. Generators and linear independence.

Quotient module. Homomorphisms. Free modules. Fundamental theorem of modules and its applications.

Bases and free modules. Some classification theorems of modules over PID's. Classification of divisible abelian groups.

**Depending on the audience English or Turkish**

Language:

Language: