ALGEBRA - II
Rings, Euclidaen domains, PIDs, UFDs, Factorization in Polynomial rings, Prime and maximal ideals, Chinese remainder theorem.
Field Theory: Field extensions, Fundamental theorem of algebra, Normal and Separable extensions, Splitting fields, Galois extensions, Galois group of a polynomial. Fundamental theorem of Galois theory, Solvabality by radicals, Transcendence bases.
Books
- Herstein, I. N., Topics in Algebra, Vikas Pub. 1972.
- Jacobson, N., Basic Algebra � I, II, Hindustan Pub. Co., 1974.
- Lang. S., Algebra, Academic Press.
- Artin, M., Algebra, Prentice-Hall of India, 1994.