Studying at the University of Verona

Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.

Study Plan

A.A. 2024/2025 A.A. 2023/2024 A.A. 2022/2023 A.A. 2021/2022 A.A. 2020/2021 A.A. 2019/2020 A.A. 2018/2019 A.A. 2017/2018 A.A. 2016/2017 A.A. 2015/2016 A.A. 2014/2015 A.A. 2013/2014 A.A. 2012/2013 A.A. 2011/2012 A.A. 2010/2011 A.A. 2009/2010

This information is intended exclusively for students already enrolled in this course.
If you are a new student interested in enrolling, you can find information about the course of study on the course page:

Laurea in Matematica applicata - Enrollment from 2025/2026

The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.

The Study plan 2008/2009 will be available by May 2nd. While waiting for it to be published, consult the Study plan for the current academic year at the following link.

Legend | Type of training activity (TTA)

TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.

A Basic activities
B Characterizing activities
C Related or complementary activities
D Activities to be chosen by the student
E Final examination
F Other training activities
S Placements in companies, public or private institutions and professional associations

Algebra  (2009/2010)

Teaching code

4S00022

Teacher

Lidia Angeleri

Coordinator

Lidia Angeleri

Credits

6

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/02 - ALGEBRA

Period

1st Semester dal Oct 1, 2009 al Jan 31, 2010.

Location

VERONA

Web page

http://profs.sci.univr.it/~angeleri/lehre.html

Seminars 0

Learning outcomes

The course provides an introduction to modern algebra. After presenting and discussing the main algebraic structures (groups, rings, fields), the focus is on Galois theory. Also some applications are discussed, in particular results on solvability of polynomial equations by radicals.

Program

Groups, subgroups, cyclic groups. The symmetric group. Solvable groups. Rings. Ideals. Homomorphisms. Principal ideal domains. Unique factorization domains. Euclidean rings. The ring of polynomials. Fields. Algebraic field extensions. The splitting field of a polynomial. Normal extensions. Separable extensions. Galois theory. Theorem of Abel-Ruffini.

Prerequisites: Linear Algebra

Reference texts
Author Title Publishing house Year ISBN Notes
S. Bosch Algebra Springer Unitext 2003 978-88-470-0221-0
I. N. Herstein Algebra Editori Riuniti 2003

Examination Methods

The exam consists of a written examination and an oral examination. Only students who have passed the written exam will be admitted to the oral examination.

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE

Teaching materials e documents