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
|
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.
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.
Module: Modulo 1
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Written and oral test
Module: Modulo 2
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Written and oral test
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