| AL210 - ALGEBRA 2
(objectives)
Introduce the basic notions and techniques of abstract algebra through the study of the first properties of fundamental algebraic structures: groups, rings and fields.
|
|
Code
|
20402075 |
|
Language
|
ITA |
|
Type of certificate
|
Profit certificate
|
|
Credits
|
9
|
|
Scientific Disciplinary Sector Code
|
MAT/02
|
|
Contact Hours
|
48
|
|
Exercise Hours
|
30
|
|
Type of Activity
|
Core compulsory activities
|
|
Teacher
|
TARTARONE FRANCESCA
(syllabus)
Actions of a group on a set. Orbits and stabilizers theorems. Sylow theorems and their applications. Rings: Rings, domains and fields. Sub-rings, subfields and ideals. Homomorphisms. Quotient rings. Homomorphism theorems. Prime and maximum ideals. The quotient field of a domain. Divisibility in a domain. Fields: Field extensions (simple, algebraic and transcendental). Splitting field of a polynomial. Finite fields.
(reference books)
D. Dikranjan - M.S. Lucido, Aritmetica e algebra, Liguori.
I. Herstein, Algebra - Editori Riuniti (2010)
|
|
Dates of beginning and end of teaching activities
|
From to |
|
Delivery mode
|
Traditional
At a distance
|
|
Attendance
|
not mandatory
|
|
Evaluation methods
|
Written test
Oral exam
|
|
Teacher
|
MEROLA FRANCESCA
(syllabus)
Actions of a group on a set. Orbits and stabilizers theorems. Sylow theorems and their applications. Rings: Rings, domains and fields. Sub-rings, subfields and ideals. Homomorphisms. Quotient rings. Homomorphism theorems. Prime and maximum ideals. The quotient field of a domain. Divisibility in a domain. Fields: Field extensions (simple, algebraic and transcendental). Splitting field of a polynomial. Finite fields.
(reference books)
I. Herstein, Algebra - Editori Riuniti (2010)
D. Dikranjan - M.S. Lucido, Aritmetica e algebra, Liguori.
|
|
Dates of beginning and end of teaching activities
|
From to |
|
Delivery mode
|
Traditional
|
|
Attendance
|
not mandatory
|
|
Evaluation methods
|
Written test
Oral exam
|
|
|
Università Roma Tre