CODE 25905 ACADEMIC YEAR 2021/2022 CREDITS 8 cfu anno 2 MATEMATICA 8760 (L-35) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/02 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 1° Semester TEACHING MATERIALS AULAWEB OVERVIEW Language Italian AIMS AND CONTENT LEARNING OUTCOMES Second corse in Algebra devoted to the formal introduction to the basic notoon of groups and rings. TEACHING METHODS Standard. SYLLABUS/CONTENT Groups, homomorphisms of groups, subgroups and quotient groups. Linear groups, permutation groups, finite groups of low order. Group actions on sets. Rings, subrings and ideals. Euclidean rings and factorial rings. Polynomials rings. Filed extensions. Modules. Structure theorem of fg modules over PID RECOMMENDED READING/BIBLIOGRAPHY M. Artin, Algebra, Bollati Boringhieri; Lindsay N. Childs, "Algebra, un'introduzione concreta", (traduzione di Carlo Traverso), ETS Editrice Pisa, 1989. D.Dikranjan, M.Lucido, Aritmetica ed Algebra, Liguori Eds. TEACHERS AND EXAM BOARD MATTEO VARBARO ALDO CONCA Ricevimento: To be decided later on when the general timetable will be fixed. Exam Board MATTEO VARBARO (President) ALESSANDRO DE STEFANI ALDO CONCA (President Substitute) LESSONS LESSONS START The class will start according to the academic calendar. Class schedule ALGEBRA 2 EXAMS EXAM DESCRIPTION Written and oral ASSESSMENT METHODS Written and oral. Exam schedule Data appello Orario Luogo Degree type Note 20/01/2022 10:00 GENOVA Scritto 16/02/2022 10:00 GENOVA Scritto 08/06/2022 10:00 GENOVA Scritto 19/07/2022 10:00 GENOVA Scritto 13/09/2022 10:00 GENOVA Scritto FURTHER INFORMATION Intermediete written tests.