HIGHER ALGEBRA 1
OVERVIEW
Lectures are in Italian unless students requires otherwise
AIMS AND CONTENT
LEARNING OUTCOMES
Introduction to commutative algebra: noetherian rings, primary decomposition and Krull dimension.
Teaching methods
Teaching style: In presence
SYLLABUS/CONTENT
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.
RECOMMENDED READING/BIBLIOGRAPHY
D. Eisenbud, Commutative Algebra with a View toward algebraic geometry, Springer 1994
Atiyah MacDonald, Introduction to Commutative Algebra, Addison-Weysley 1969.
TEACHERS AND EXAM BOARD
Ricevimento: To be decided later on when the general timetable will be fixed.
Exam Board
ALDO CONCA (President)
MATTEO VARBARO
MARIA EVELINA ROSSI
LESSONS
Teaching methods
Teaching style: In presence
LESSONS START
The class will start according to the academic calendar.
EXAMS
Exam description
Oral.