Invitation to general algebra and universal constructions /
x , 572 p. : illustrations ; 24 cm. - (universitext ) Content notes : 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 of Other Universal Constructions --
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 Functions --
8. Universal Constructions in Category - Theoretic Terms --
9. Varieties of Algebras --
Part III: More on Adjunctions --
10. Algebra and Coalgebra Objects in Categories, and Functors Having Adjoints --
References --
List of Exercises --
Symbol Index --
Word and Phrase Index. Universal algebra.
