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Anyway, I'm looking for a book that covers introductory abstract algebra. The course outline is:

- (commutative) rings, fields, Z, Q, R, C, Z

*, polynomial rings, properties of Z.*

- division algorithm, Euclidean algorithm, primes, congruences, Fermat & Euler theorems, unique factorization, linear and other congruence equations, Chinese Remainder Theorem

- sets, well-ordering, functions, equivalence relations, proof by induction, cardinality, existence of transcendentals

- finite fields, fundamental theorem of algebra, complex numbers

- polynomial rings, rational roots, irreducible polynomials, unique factorization

Thank you.

- division algorithm, Euclidean algorithm, primes, congruences, Fermat & Euler theorems, unique factorization, linear and other congruence equations, Chinese Remainder Theorem

- sets, well-ordering, functions, equivalence relations, proof by induction, cardinality, existence of transcendentals

- finite fields, fundamental theorem of algebra, complex numbers

- polynomial rings, rational roots, irreducible polynomials, unique factorization

Thank you.