Algebraic Structures II

Description

Rings, subrings and ring homeomorphisms - Ideals and sum and product of ideals- Isomorphism theorems of rings- Integral domains - Quotient field- The ring of integers, the field of rational numbers- Prime fields- Prime and maximal ideals- Principal ideal domains - Unique factorization domains- Euclidean domains - Polynomial rings - Irreducible polynomials in Q[x], R[x], C[x]- Field extensions - Algebraic and transcendental elements - Algebraic extensions and the minimal polynomial - Field constructions.

Course Coordinators

Books: 
Αλγεβρικές Δομές II του Ε. Ψωμόπουλου
Εισαγωγή στην Άλγεβρα του J. Fraleigh
Αλγεβρικές Δομές II του Ε. Ψωμόπουλου
Semester: 
Units: 
3
Credit Units (ECTS): 
5.5
Hours: 
3ώρες
ID: 
0107
Course Type: 
X