Description
This is a textbook that is designed to help first-year graduate students understand fundamental concepts in abstract algebra. It covers linear algebra, number theory, group theory, commutative rings, and linear transformations.
Realizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra-establishing a clear understanding of basic linear algebra and number, group, and commutative ring theory and progressing to sophisticated discussions on Galois and Sylow theory, the structure of abelian groups, the Jordan canonical form, and linear transformations and their matrix representations.
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