Course: MAT 375 3.0 Ring Theory (Compulsory)
Course Content:
Integral Domains, Ideals and Factor Rings, Homomorphisms, Isomorphism Theorems, Maximal ideals, Prime ideals, Prime rings, and applications. Factorization in Commutative Rings (Prime elements, irreducible elements, unique factorization domains, Euclidean domains). Local rings, Rings of Polynomials, Factorization in Polynomial Rings.
Recommend Readings:
- Abstract Algebra, David S. Dummit & Richard M. Foote (any edition)
- Algebra, Thomas W. Hungerford (any edition)
- A First Course in Abstract Algebra, John B. Fraleigh (any edition)
- Topics in Algebra, I. N. Herstein (any edition)
- Algebra, Michael Artin (any edition)