HIGHER ALGEBRA 1

HIGHER ALGEBRA 1

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Last update 28/07/2020 15:55
Code
39407
ACADEMIC YEAR
2020/2021
CREDITS
7 credits during the 1st year of 9011 Mathematics (LM-40) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/02
LANGUAGE
Italian (English on demand)
TEACHING LOCATION
GENOVA (Mathematics)
semester
1° Semester
Teaching materials

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

ALESSANDRO DE STEFANI

ALESSIO CAMINATA

MARIA EVELINA ROSSI (President Substitute)

LESSONS

Teaching methods

Teaching style: In presence

LESSONS START

The class will start according to the academic calendar.

EXAMS

Exam description

Oral.