Algebra (2007/2008)

Course Not running, not visible

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

Learning outcomes

Module: Modulo 1
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The purpose of the course is to advance in the study of the fundamental algebraic structures: rings, fields and polynomials


Module: Modulo 2
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Elements of Galois theory, with applications to algebraic equations. Complements of group theory.

Syllabus

Module: Modulo 1
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* Rings, subrings, ideals and homomorphisms
* Fields and their structure
* Polynomial rings
* Euclidean rings
* Finite fields
* Applications


Module: Modulo 2
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Normal and separable extensions. Fundamental theorem of Galois theory.
Solvable and nilpotent groups.
Solvability of equations by radicals.
The general n-th degree equation and the symmetric polynomials.

Assessment methods and criteria

Module: Modulo 1
-------
Written and oral test


Module: Modulo 2
-------
Written and oral test

Studying