Algebra
Groups, Lagrange Theorem, Normal Groups, Quotient and homomorphisms; Rings and Domains, Euclidean Domains, Polynomials, Single Factorization, Ideals and Quotient; Bodies and extensions.
Basic Information
Workload
60 hours
Requirements
Não se aplica
Mandatory:
- Algebra: highlights. Eduardo Tengan and Sérgio Tadao Martins. https://www.ams.org/open-math- notes / files / course-material / OMN-201711-110718-1-Course_notes-v1.pdf
- Gonçalves, Adilson. Introduction to Algebra. IMPA. THE
- bstract Algebra. I. N. Herstein. Wiley.
Complementary:
- Arnaldo Garcia, Yves Lequain, Algebra: an Introduction Course. Euclides Project, IMPA.
- Algebra, Pearson, second edition. Michael Artin.
- Coutinho, S. Collier. Whole Numbers and Cryptography. Computing and Mathematics Collection. IMPA
- Number theory: A walk with cousins and other familiar numbers all over the world. Fabio Brochero Martinez, Carlos Gustavo Tamm de Araujo Moreira, Nicolau Corção Saldanha, and Eduardo Tengan, Euclides Project, IMPA, 2018.
- Serge Lang. Algebra, Graduate Texts in Mathematics 211, Springer-Verlag.