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HIGHER ALGEBRA 1

CODE 39407
ACADEMIC YEAR 2021/2022
CREDITS
  • 7 cfu during the 1st year of 9011 MATEMATICA(LM-40) - GENOVA
  • 7 cfu during the 2nd year of 9011 MATEMATICA(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

    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