basic knowledge in ring theory and field theory.

Algebra1

Groups, rings, fields.
Sylow's theorems. Polynomial rings. Factorization of polynomials: Berlekamp. Field extensions. Algebraic and transcendent extensions. Minimal polynomial. Finite fields.

Jacobson, basi calgebra. Childs An introduction to concrete algebra.

Groups, rings, fields.
Sylow's theorems. Polynomial rings. Finite field. See the site http://www.dmi.units.it/~logar/didattica/algebra2/

lessons

further infos will be available after the beginning of the course on the site http://www.dmi.units.it/~logar/didattica/algebra2/


Any changes to the methods described here, which become necessary toensure the application of the safety protocols related to the COVID19emergency, will be communicated on the websites of the Department ofMathematics and Geoscience - DMG and of the Study Program in Mathematics.

written test and oral part