ENGLISH

An invitation to general algebra and universal constructions

By George M , Bergman

Book information

Publisher
Springer
Year
2015
ISBN
9783319114774, 9783319114781, 3319114778
Language
english
Format
PDF
Filesize
8 MB (8714793 bytes)
Series
Universitext (Berlin. Print)
Edition
2nd ed
Pages
1 v. (X-572 p.) : illustrations ; 24 cm\574
Time added
2020-07-26 19:24:52
Àlgebra;ÀlgebraUniversal;Algèbre universelle;Algèbre universelle

Description

1 About the course, and these notes.- Part I: Motivation and Examples.- 2 Making Some Things Precise.- 3 Free Groups.- 4 A Cook's Tour.- Part II: Basic Tools and Concepts.- 5 Ordered Sets, Induction, and the Axiom of Choice.- 6 Lattices, Closure Operators, and Galois Connections.- 7 Categories and Functors.- 8 Universal Constructions.- 9 Varieties of Algebras.- Part III: More on Adjunctions.- 10 Algebras, Coalgebras, and Adjunctions.- References.- List of Exercises.- Symbol Index.- Word and Phrase Index.

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