Bergman, George M.

An Invitation to General Algebra and Universal Constructions/ - New York: Springer,


About the Course, and These Notes

Motivation and Examples

Making Some Things Precise

Free Groups

A Cook’s Tour of Other Universal Constructions

Basic Tools and Concepts

Ordered Sets, Induction, and the Axiom of Choice

Lattices, Closure Operators, and Galois Connections

Categories and Functors

Universal Constructions in Category-Theoretic Terms

Varieties of Algebras

More on Adjunctions

Algebra and Coalgebra Objects in Categories, and Functors Having Adjoints


978-3-319-11478-1