An Invitation to General Algebra and Universal Constructions/

By: Bergman, George MMaterial type: TextTextPublication details: New York: Springer, ISBN: 978-3-319-11478-1Online resources: Click here to access online
Contents:
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
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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

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