Download e-book for kindle: An Invitation to General Algebra and Universal Constructions by George M. Bergman

By George M. Bergman

Rich in examples and intuitive discussions, this ebook provides normal Algebra utilizing the unifying standpoint of different types and functors. beginning with a survey, in non-category-theoretic phrases, of many prevalent and not-so-familiar buildings in algebra (plus from topology for perspective), the reader is guided to an knowing and appreciation of the final options and instruments unifying those buildings. issues comprise: set conception, lattices, type concept, the formula of common structures in category-theoretic phrases, forms of algebras, and adjunctions. a number of routines, from the regimen to the difficult, interspersed in the course of the textual content, strengthen the reader's take hold of of the cloth, convey purposes of the overall conception to assorted components of algebra, and often times element to amazing open questions. Graduate scholars and researchers wishing to realize fluency in very important mathematical buildings will welcome this conscientiously prompted book.

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

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