At the end of this course, students are expected to be able to deal with fundamental concepts and techniques concerning groups, rings and fields.
1) Groups: subgroups; normal subgroups, quotient groups; homomorphism of groups; cyclic groups; direct products, finite abelian groups; finite groups. 2) Rings: subrings, ideals, quotient rings; homomorphism of rings; polynomials; principal ideal domains, euclidean domains; zeros of polynomials 3) Fields: prime fields; extension of fields; splitting fields; finite fields.
SOBRAL, Manuela, Álgebra, Universidade Aberta, 1998.
1) RUI LOJA FERNANDES, MANUEL RICOU, Introdução à Álgebra, ISTPRESS 2) MONTEIRO, António; MATOS, Isabel Teixeira, Álgebra - Um Primeiro Curso, Escolar Editora, 1995
Continuous assessment is privileged: 2 or 3 digital written documents (e-folios) during the semester (40%) and a
presence-based final exam (p-folio) in the end of the semester (60%). In due time, students can alternatively choose to perform one
final presence-based exam (100%).