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 common Algebra utilizing the unifying perspective of different types and functors. beginning with a survey, in non-category-theoretic phrases, of many established and not-so-familiar buildings in algebra (plus from topology for perspective), the reader is guided to an realizing and appreciation of the final ideas and instruments unifying those buildings. subject matters contain: set concept, lattices, classification concept, the formula of common structures in category-theoretic phrases, sorts of algebras, and adjunctions. quite a few workouts, from the regimen to the tough, interspersed throughout the textual content, advance the reader's clutch of the fabric, express functions of the final concept to various components of algebra, and every now and then element to extraordinary open questions. Graduate scholars and researchers wishing to achieve fluency in very important mathematical buildings will welcome this conscientiously inspired book.

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