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

By George M. Bergman

Rich in examples and intuitive discussions, this e-book offers basic Algebra utilizing the unifying standpoint of different types and functors. beginning with a survey, in non-category-theoretic phrases, of many common and not-so-familiar structures in algebra (plus from topology for perspective), the reader is guided to an knowing and appreciation of the overall techniques and instruments unifying those buildings. subject matters comprise: set conception, lattices, class thought, the formula of common structures in category-theoretic phrases, types of algebras, and adjunctions. a great number of routines, from the regimen to the hard, interspersed throughout the textual content, enhance the reader's snatch of the fabric, show functions of the final idea to various parts of algebra, and in certain cases element to striking open questions. Graduate scholars and researchers wishing to achieve fluency in very important mathematical structures will welcome this conscientiously stimulated book.

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

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