COMMUTATIVE ALGEBRA
cod. 1000143

Academic year 2022/23
3° year of course - Second semester
Professor
- Andrea APPEL
Academic discipline
Algebra (MAT/02)
Field
A scelta dello studente
Type of training activity
Student's choice
48 hours
of face-to-face activities
6 credits
hub:
course unit
in ITALIAN

Learning objectives

The students will learn the basic definitions, problems, and techniques in modules and Galois theory.

Prerequisites

Algebra (groups, rings, fields) and Linear Algebra.

Course unit content

Building on the courses of Algebra and Linear Algebra, the course covers the theory of modules over rings; algebraic extensions and Galois theory; algebraic spaces.

Full programme

Bibliography

S. Lang, Algebra, Graduate Text in Mathematics, Springer.

Teaching methods

The topics of the course will be discussed during the lectures, together with examples, applications, and exercises.

Assessment methods and criteria

At the end of the course there will be an exam in two parts. The first one will be a one-hour long written exam. The second one will be at the board, where the student will be asked to discuss, explain, and prove the main results of the course.

Other information