Lectures are in Italian unless students requires otherwise
Introduction to commutative algebra: noetherian rings, primary decomposition and Krull dimension.
In presence (accordingly with restrictions due to Covid-19 countermeasures)
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: By appointment
Ricevimento: By appointment.
ALESSANDRO DE STEFANI (President)
EMANUELA DE NEGRI
Accordingly with the academic calendar.
HIGHER ALGEBRA 1
Oral examination