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The course on Algebra is a 5 credit course for the Undergraduate programme. In this course, we have given basic algebraic structure required to understand Modern Algebra. Also we have covered the basic concepts of group theory and ring theory as extensively as possible. This course will serve as a useful tool to any learner who wishes to learn Algebra, Linear Algebra, Topology and Algebraic Number Theory. Also, this course is essential for all learners planning for advance degree in mathematics or planning to enter the teaching profession.