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CODE 90694
ACADEMIC YEAR 2021/2022
CREDITS
SCIENTIFIC DISCIPLINARY SECTOR MAT/02
LANGUAGE Italian (English on demand)
TEACHING LOCATION
  • GENOVA
SEMESTER 2° Semester
TEACHING MATERIALS AULAWEB

OVERVIEW

Language: English

AIMS AND CONTENT

LEARNING OUTCOMES

The goal of the course is the study of system of polynomial equations via Galois theory and using Groebner bases.

TEACHING METHODS

Teaching style: In presence+computational sections with the use of symbolic computation packages.

SYLLABUS/CONTENT

I - Rings, ideals and modules. Noetherian rings and the Hilbert basis theorem. Polynomials: The ring K [x_1, ..., x_n] of polynomials with coefficientsin a field. Grobner Bases  and the Buchberger algorithm. Systems of polynomial equations and elimination theory.

RECOMMENDED READING/BIBLIOGRAPHY

Computational Commutative Algebra, Kreuzer, Robbiano, Springer, 2004.

TEACHERS AND EXAM BOARD

Exam Board

ALDO CONCA (President)

FRANCESCO VENEZIANO

ANNA MARIA BIGATTI (President Substitute)

EMANUELA DE NEGRI (President Substitute)

ALESSANDRO DE STEFANI (President Substitute)

MARIA EVELINA ROSSI (President Substitute)

MATTEO VARBARO (President Substitute)

LESSONS

LESSONS START

The class will start according to the academic calendar.

EXAMS

EXAM DESCRIPTION

Oral and computer algebra  project