Basic Modern Algebra with Applications

Basic Modern Algebra with Applications

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The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a way that it encourages independent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that are usually contained in a standard modern algebra text.In addition, it studies semigroup, group action, Hopf's group, topological groups and Lie groups with their actions, applications of ring theory...