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

48

Exercise Hours

30

Type of Activity

Core compulsory activities

Teacher	BARROERO FABRIZIO (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) Lecture notes
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	TALAMANCA VALERIO (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) Dispense fornite dal docente
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