Teaching - Università Roma Tre

AL210 - ALGEBRA 2 (objectives)

Code

20402075

Language

ITA

Type of certificate

Profit certificate

Credits

9

Scientific Disciplinary Sector Code

MAT/02

Contact Hours

60

Exercise Hours

24

Type of Activity

Core compulsory activities

Teacher	TARTARONE FRANCESCA (syllabus) Groups: symmetri, dihedral, cyclic groups. Subgroups. Cosets and Lagrange theorem. Homomorphisms. Normal subgroups and quotient groups. Homomorphism theorems. 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) G.M. Piacentini Cattaneo, Algebra,un approccio algoritmico, Decibel -Zanichelli. 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

Teacher	SPIRITO Dario
Dates of beginning and end of teaching activities	From to
Attendance	not mandatory