HIGHER ALGEBRA 1

HIGHER ALGEBRA 1

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it ｜ en
Code
39407
ACADEMIC YEAR
2018/2019
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
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. 

Maria Evelina Rossi

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.

ORARI

HIGHER ALGEBRA 1

EXAMS

Exam description

Oral.