Bahar 2021/Spring 2021
MAT 502: Cebir II
Duyurular.
- Bu ders pandemi nedeni ile Teams üzerinden çevrimiçi olarak yapılmaktadır.
- Ödevler email ile gönderilir.
Ders saatleri. Salı 13.00-14.30, Perşembe 10.30-12.00
Ana Kitap: Thomas Hungerford, Algebra, Springer, 1974.
Diğer Kitaplar: Martin Isaacs, Algebra: A Graduate Course, AMS, 1994.
David S. Dummit, Richard M. Foote, Abstract Algebra,
Wiley, Third Edition, 2004.
Cisimler ve Galois Teorisi için: Ian Stewart, Galois Theory, Chapman & Hall, Third Edition, 2003.
Patrick Morandi, Field and Galois Theory, Springer, 1996.
Antoine Chambert-Loir, A Field Guide to Algebra, Springer, 2005.
Joseph Rotman, Galois Theory, Springer, Second Printing, 1998.
Sınıfta Yapılanlar
Polynomial rings and formal power series, more on UFD's, factorization Theorems.
Field extensions, algebraic elements, minimal polynomials,
extending isomorphisms.
Finite, finitely generated and algebraic extensions. Ruler and compass constructions.
Fundamental Theorem of Galois Theory.
Splitting fields,
algebraic closures,
separability. Galois groups of poynomials.
Finite fields. Primitive roots of unity. Radical extensions, polynomial equations of any degree.
Introduction to modules. Exact sequences of R-modules. Free modules.
Güncelleme: 24 Haziran 2021
Hazırlayan (Prepared by): Ayşe Berkman