A Book of Abstract Algebra — Pinter

Charles C. Pinter, 2nd Edition

Groups, subgroups, homomorphisms, rings, integral domains, fields, polynomial rings, extension fields, and finite (Galois) fields. The algebraic foundation for prime power fields (\(\mathbb{F}_{p^k}\)) underlying RSA, elliptic curve cryptography, and error correcting codes.

Chapters

Exercises added as I work through each chapter.