Second corse in Algebra devoted to the formal introduction to the basic notoon of groups and rings.
Groups, homomorphisms of groups, subgroups and quotient groups. Linear groups, permutation groups, finite groups of low order. Group actions on sets. Rings, subrings and ideals. Euclidean rings and factorial rings. Polynomials rings. Filed extensions. Modules. Structure theorem of fg modules over PID
M. Artin, Algebra, Bollati Boringhieri;
Lindsay N. Childs, "Algebra, un'introduzione concreta", (traduzione di Carlo Traverso), ETS Editrice Pisa, 1989.
D.Dikranjan, M.Lucido, Aritmetica ed Algebra, Liguori Eds.
The class will start according to the academic calendar.
Written and oral
Written and oral.
Intermediete written tests.