CODE 39407 ACADEMIC YEAR 2019/2020 CREDITS 7 cfu anno 1 MATEMATICA 9011 (LM-40) - GENOVA 7 cfu anno 2 MATEMATICA 9011 (LM-40) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/02 LANGUAGE Italian (English on demand) TEACHING LOCATION GENOVA SEMESTER 1° Semester TEACHING MATERIALS AULAWEB 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 ALDO CONCA Ricevimento: To be decided later on when the general timetable will be fixed. Exam Board ALDO CONCA (President) MARIA EVELINA ROSSI MATTEO VARBARO LESSONS LESSONS START The class will start according to the academic calendar. Class schedule HIGHER ALGEBRA 1 EXAMS EXAM DESCRIPTION Oral.
