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
|
Module: Modulo 1
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The course provides an introduction to ring theory.
Module: Modulo 2
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An introduction to Galois Theory and applications.
Module: Modulo 1
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Rings. Ideals. Homomorphisms.
Principal Ideal Domains. Unique Factorization Domains. Euclidean Rings.
The ring of polynomials.
Module: Modulo 2
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Fields. Algebraic extensions. The splitting field of a polynomial.
Normal extensions. Separable extensions.
Galois theory and applications.
Module: Modulo 1
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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
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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.
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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