CODE  25897 

ACADEMIC YEAR  2021/2022 
CREDITS 

SCIENTIFIC DISCIPLINARY SECTOR  MAT/02 
LANGUAGE  Italian 
TEACHING LOCATION 

SEMESTER  1° Semester 
TEACHING MATERIALS  AULAWEB 
Provide basic mathematical language. Introduction to abstract algebraic notions by studying the algebra of integers, polynomials in a rational, real, complex or finite coefficient variable and their quotients. Theoretical notions of groups.
In presence
Introduction to the basic notions: sets, maps, surjectiive, , injective and bijective.
 Binary operation and their properties. Equivalence relations and induced quotients.
 Cardinality: countsble and uncountable sets. Permutations. Induction. Newton binomial formula.
 The integers: Euclidean algorithm and its applications. Prime numbers and unique factorization. The integers mod n.
 Complex numbers.
 Polinomials: with rational, real or complex coefficients. Unique factorization property for polynomials. Irreducibility criteria. Quotients and their properties: zerodivisors, nilpotents and invertible elements.
 Introduction to algebraic structures. Abelian groups. Subgroups, homomorphisms and quotients.
Office hours: By appointment
Office hours: To be decided later on when the general timetable will be fixed.
ALDO CONCA (President)
MARIA EVELINA ROSSI
ALESSANDRO DE STEFANI (President Substitute)
The class will start according to the academic calendar.
All class schedules are posted on the EasyAcademy portal.
The exam consists of a written test and an oral exam.
Date  Time  Location  Type  Notes 

18/01/2022  09:00  GENOVA  Scritto  
20/01/2022  09:00  GENOVA  Orale  
15/02/2022  09:00  GENOVA  Scritto  
17/02/2022  09:00  GENOVA  Orale  
07/06/2022  09:00  GENOVA  Scritto  
08/06/2022  09:00  GENOVA  Orale  
04/07/2022  09:00  GENOVA  Scritto  
05/07/2022  09:00  GENOVA  Orale  
14/09/2022  09:00  GENOVA  Scritto  
15/09/2022  09:00  GENOVA  Orale 