Lectures are in Italian unless students requires otherwise
Introduction to commutative algebra: noetherian rings, primary decomposition and Krull dimension.
Teaching style: In presence
Rings, Ideal, modules. Rings and modules of fractions. Tensor products of modules. Primary decomposition, integral dependence and valuations, Chain conditions, Noetherian and Artinian rings. Dimension theory. Krullhauptidealssatz.
D. Eisenbud, Commutative Algebra with a View toward algebraic geometry, Springer 1994
Atiyah MacDonald, Introduction to Commutative Algebra, Addison-Weysley 1969.
Ricevimento: To be decided later on when the general timetable will be fixed.
ALDO CONCA (President)
ALESSIO CAMINATA
ALESSANDRO DE STEFANI
MATTEO VARBARO
MARIA EVELINA ROSSI (President Substitute)
The class will start according to the academic calendar.
HIGHER ALGEBRA 1
Oral.