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

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 favourite and not-so-familiar structures in algebra (plus from topology for perspective), the reader is guided to an knowing and appreciation of the final techniques and instruments unifying those structures. themes comprise: set idea, lattices, type thought, the formula of common structures in category-theoretic phrases, forms of algebras, and adjunctions. loads of workouts, from the regimen to the tough, interspersed in the course of the textual content, strengthen the reader's seize of the fabric, express purposes of the overall idea to different components of algebra, and sometimes aspect to amazing open questions. Graduate scholars and researchers wishing to realize fluency in vital mathematical buildings will welcome this conscientiously inspired book.

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

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