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An Invitation to General Algebra and Universal Constructions

Author: George M. Bergman
Url: http://math.berkeley.edu/~gbergman/245/
Format: Ps
Category: Algebra
Pages: 398
Clicks: 365

Contents: Chapter 0, About the course, and these notes; Chapter 1, Making some things precise. Chapter 2, Free groups Chapter 3, A Cook's tour of other universal constructions Chapter 4, Ordered sets, induction, and the Axiom of Choice Chapter 5, Lattices, closure operators, and Galois connections Chapter 6, Categories and functors Rotated diagram to go on p.152. Chapter 7, Universal constructions in category-theoretic terms Chapter 8, Varieties of algebras Chapter 9, Algebra and coalgebra objects in categories, and functors having adjoints.

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