An Invitation to General Algebra and Universal Constructions by George M. Bergman PDF

By George M. Bergman

ISBN-10: 3319114778

ISBN-13: 9783319114774

Rich in examples and intuitive discussions, this ebook provides normal Algebra utilizing the unifying perspective of different types and functors. beginning with a survey, in non-category-theoretic phrases, of many widely used and not-so-familiar buildings in algebra (plus from topology for perspective), the reader is guided to an figuring out and appreciation of the final ideas and instruments unifying those buildings. issues contain: set idea, lattices, classification idea, the formula of common buildings in category-theoretic phrases, sorts of algebras, and adjunctions. a lot of workouts, from the regimen to the difficult, interspersed throughout the textual content, strengthen the reader's seize of the fabric, show purposes of the final conception to various parts of algebra, and every now and then aspect to remarkable open questions. Graduate scholars and researchers wishing to realize fluency in vital mathematical structures will welcome this rigorously stimulated book.

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

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