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An Invitation to General Algebra and Universal Constructions
Paperback
Series: Universitext, Book 351
ISBN13: 9783319114774
Publisher: Springer
Published: Mar 5 2015
Pages: 572
Weight: 1.78
Height: 1.18 Width: 6.14 Depth: 9.21
Language: English
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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