Course: MAT 451 3.0 Fields and Galois Theory (Compulsory)
Course Content:
Field Extensions and the Tower Law, Splitting Fields, Algebraically Closed Fields, Separable Extensions, Simple Extension and Primitive Element Theorem, Normal Extensions, Constructability, Galois Theory, Radical Extensions and Solvability by Radicals
Recommended Readings:
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- Fundamentals of Abstract Algebra, D. S. Malik, John N. Mordeson, M.K. Sen.
- Basic Abstract Algebra, P. B. Bhattacharya, S. K. Jain, S. R. Nagpaul.
- Modern Abstract Algebra, Surjeet Sing, Qazi Zameeruddin.