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An Invitation to General Algebra and Universal Constructions

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Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.

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Detail Information

Series Title

Universitext

Call Number

512 BER i

Publisher

Cham, Switzerland : Springer Cham., 2015

Collation

X, 572

Language

English

ISBN/ISSN

978-3-319-11478-1

Classification

512

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

Ed. 1

Subject(s)

Category Theory
General Algebraic Systems

Specific Detail Info

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Statement of Responsibility

George M. Bergman

Other Information

Cataloger

umi

Source

https://link.springer.com/content/pdf/10.1007/978-3-319-11478-1.pdf?pdf=button

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