Book Details

Basic Notions of Algebra

Publication year: 2005

ISBN: 978-3-540-26474-3

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This book aims to present a general survey of algebra, of its basic notions and main branches.Those parts of the book devoted to the systematic treatment of notions and results of algebra make very limited demands on the reader: we presuppose only that the reader knows calculus, analytic geometry and linear algebra in the form taught in many high schools and colleges. The extent of the prerequisites required in our treatment of examples is harder to state; an acquaintance with projective space, topological spaces, differentiable and complex analytic manifolds and the basic theory of functions of a complex variable is desirable, but the reader should bear in mind that difficulties arising in the treatment of some specific example are likely to be purely local in nature, and not to affect the understanding of the rest of the book.


Subject: Mathematics and Statistics, Category theory, Group representation, Group theory, K-theory, algebra, associative algebra, category, cohomology, commutative ring, groups, homological algebra, homology, homomorphism, modules