CODE 39407 ACADEMIC YEAR 2021/2022 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 In presence (accordingly with restrictions due to Covid-19 countermeasures) 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 ALESSANDRO DE STEFANI Ricevimento: By appointment EMANUELA DE NEGRI Ricevimento: By appointment. Exam Board ALESSANDRO DE STEFANI (President) EMANUELA DE NEGRI LESSONS LESSONS START Accordingly with the academic calendar. Class schedule HIGHER ALGEBRA 1 EXAMS EXAM DESCRIPTION Oral examination
