By George M. Bergman
Rich in examples and intuitive discussions, this booklet provides basic Algebra utilizing the unifying point of view of different types and functors. beginning with a survey, in non-category-theoretic phrases, of many widely used and not-so-familiar buildings in algebra (plus from topology for perspective), the reader is guided to an knowing and appreciation of the final strategies and instruments unifying those structures. subject matters comprise: set conception, lattices, classification conception, the formula of common structures in category-theoretic phrases, forms of algebras, and adjunctions. various workouts, from the regimen to the demanding, interspersed during the textual content, improve the reader's seize of the cloth, convey purposes of the final conception to different components of algebra, and occasionally aspect to awesome open questions. Graduate scholars and researchers wishing to realize fluency in very important mathematical buildings will welcome this conscientiously stimulated book.
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An Invitation to General Algebra and Universal Constructions (Universitext) by George M. Bergman