An Invitation to General Algebra and Universal Constructions

By George M. Bergman

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.

• Format: Paperback
• Language: English
• ISBN: 3319114778
• ISBN13: 9783319114774
• Release Date: March 2015
• Publisher: Springer
• Length: 572 Pages
• Weight: 1.78 lbs.
• Dimensions: 1.2" x 6.1" x 9.2"