Modern Algebra Lecture Notes

This course note
focuses on traditional algebra topics that have found greatest application in
science and engineering as well as in mathematics. Major topics covered
includes: Groups, Subgroups, Cosets, Cyclic Groups, Permutation Groups,
Conjugation in Sn, Isomorphisms, Homomorphisms and Kernels, Quotient Groups, The
Isomorphism Theorems, Presentations and Groups of Small Order, Sylow Theorems
and Applications, Rings, Ring Homomorphisms and Ideals, Field of Fractions,
Euclidean Domains, Polynomial Rings.

**Author(s):** Prof. James McKernan

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