Algebra (2008/2009)

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Course code
4S00022
Credits
6
Coordinator
Lidia Angeleri
Teaching is organised as follows:
Unit Credits Academic sector Period Academic staff
Modulo 1 3 MAT/02-ALGEBRA 1° Q Lidia Angeleri
Modulo 2 3 MAT/02-ALGEBRA 1° Q Lidia Angeleri

Learning outcomes

Module: Modulo 1
-------
The course provides an introduction to ring theory.


Module: Modulo 2
-------
An introduction to Galois Theory and applications.

Syllabus

Module: Modulo 1
-------
Rings. Ideals. Homomorphisms.
Principal Ideal Domains. Unique Factorization Domains. Euclidean Rings.
The ring of polynomials.


Module: Modulo 2
-------
Fields. Algebraic extensions. The splitting field of a polynomial.
Normal extensions. Separable extensions.
Galois theory and applications.

Assessment methods and criteria

Module: Modulo 1
-------
There is one exam concerning the first and second part of the course. It consists of a written test and an oral examination. For the ammission to the oral examination it is required to pass the written test.


Module: Modulo 2
-------
There is one exam concerning the first and second part of the course. It consists of a written test and an oral examination. For the ammission to the oral examination it is required to pass the written test.

Reference books
Author Title Publisher Year ISBN Note
S. Bosch Algebra Springer Unitext 2003 978-88-470-0221-0
I. N. Herstein Algebra Editori Riuniti 2003

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