Course Discription |
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*Rings, fields, subrings, subfields, integral domains, subdomains, ideals, prime ideals, maximal ideals and quotient rings, ring-homomorphism, Polynomial rings, Division Algorithm Theorem for polynomials over a field, unique factorization domains, principal ideal domains, Euclidean domains, quotient fields, algebraic and transcendental extension fields, algebraically closed fields, introduction to Galois Theory. |