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

By George M. Bergman

ISBN-10: 3319114778

ISBN-13: 9783319114774

Rich in examples and intuitive discussions, this booklet provides common Algebra utilizing the unifying point of view of different types and functors. beginning with a survey, in non-category-theoretic phrases, of many established and not-so-familiar structures in algebra (plus from topology for perspective), the reader is guided to an figuring out and appreciation of the final suggestions and instruments unifying those buildings. issues comprise: set thought, lattices, classification conception, the formula of common structures in category-theoretic phrases, types of algebras, and adjunctions. a number of workouts, from the regimen to the hard, interspersed in the course of the textual content, boost the reader's grab of the cloth, show purposes of the final concept to varied parts of algebra, and from time to time aspect to impressive open questions. Graduate scholars and researchers wishing to realize fluency in very important mathematical buildings 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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