An Invitation to General Algebra and Universal Constructions by George M. Bergman
By George M. Bergman
Rich in examples and intuitive discussions, this publication offers basic Algebra utilizing the unifying perspective of different types and functors. beginning with a survey, in non-category-theoretic phrases, of many regularly occurring and not-so-familiar structures in algebra (plus from topology for perspective), the reader is guided to an knowing and appreciation of the overall ideas and instruments unifying those buildings. themes comprise: set idea, lattices, class concept, the formula of common structures in category-theoretic phrases, sorts of algebras, and adjunctions. a number of routines, from the regimen to the hard, interspersed throughout the textual content, improve the reader's take hold of of the cloth, convey purposes of the overall idea to different parts of algebra, and occasionally aspect to striking open questions. Graduate scholars and researchers wishing to realize fluency in vital mathematical structures will welcome this conscientiously inspired book.
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