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Modern Algebra Lecture Notes
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Modern Algebra Lecture Notes
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Description
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.
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