By George M. Bergman
Rich in examples and intuitive discussions, this publication provides normal Algebra utilizing the unifying perspective of different types and functors. beginning with a survey, in non-category-theoretic phrases, of many widespread and not-so-familiar buildings in algebra (plus from topology for perspective), the reader is guided to an figuring out and appreciation of the overall thoughts and instruments unifying those buildings. themes contain: set idea, lattices, class thought, the formula of common structures in category-theoretic phrases, sorts of algebras, and adjunctions. a lot of workouts, from the regimen to the demanding, interspersed in the course of the textual content, strengthen the reader's take hold of of the fabric, convey purposes of the final conception to different components of algebra, and on occasion aspect to impressive open questions. Graduate scholars and researchers wishing to realize fluency in vital mathematical structures will welcome this rigorously prompted book.
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An Invitation to General Algebra and Universal Constructions (Universitext) by George M. Bergman