An Invitation to General Algebra and Universal Constructions - download pdf or read online

By George M. Bergman

ISBN-10: 3319114778

ISBN-13: 9783319114774

Rich in examples and intuitive discussions, this publication offers normal Algebra utilizing the unifying point of view of different types and functors. beginning with a survey, in non-category-theoretic phrases, of many accepted and not-so-familiar buildings in algebra (plus from topology for perspective), the reader is guided to an realizing and appreciation of the final techniques and instruments unifying those buildings. issues contain: set conception, lattices, class thought, the formula of common structures in category-theoretic phrases, types of algebras, and adjunctions. quite a few routines, from the regimen to the demanding, interspersed during the textual content, increase the reader's snatch of the fabric, express functions of the final conception to assorted parts of algebra, and in certain cases aspect to extraordinary open questions. Graduate scholars and researchers wishing to achieve fluency in vital mathematical buildings will welcome this rigorously inspired book.

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An Invitation to General Algebra and Universal Constructions (Universitext) by George M. Bergman

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