|
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)
I. Herstein, Algebra - Editori Riuniti (2010)
D. Dikranjan - M.S. Lucido, Aritmetica e algebra, Liguori.
|
Università Roma Tre