CODE 90694 ACADEMIC YEAR 2016/2017 CREDITS 7 cfu anno 1 MATEMATICA 9011 (LM-40) - 7 cfu anno 3 MATEMATICA 8760 (L-35) - 7 cfu anno 2 MATEMATICA 9011 (LM-40) - SCIENTIFIC DISCIPLINARY SECTOR MAT/02 LANGUAGE Italiano (Inglese a richiesta) TEACHING LOCATION SEMESTER 2° Semester TEACHING MATERIALS AULAWEB OVERVIEW Language: English AIMS AND CONTENT TEACHING METHODS Teaching style: In presence 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. II - Review of field extensions. Splitting fields of polynomials with coefficients in a field of characteristic 0, normal extensions and their basic properties. Fundamental Theorem of Galois theory. The Galois group of a polynomial. Applications: cyclotomic fields, solvability by radicals of algebraic equations. TEACHERS AND EXAM BOARD ALDO CONCA STEFANO VIGNI ANNA MARIA BIGATTI Exam Board ANNA MARIA BIGATTI (President) ALDO CONCA (President) STEFANO VIGNI (President) LESSONS LESSONS START February 27, 2017 Class schedule BASICS OF HIGHER ALGEBRA EXAMS Exam schedule Data appello Orario Luogo Degree type Note 05/06/2017 10:00 GENOVA Orale 23/06/2017 10:00 GENOVA Orale 12/07/2017 10:00 GENOVA Orale 04/09/2017 10:00 GENOVA Orale
