**An Invitation to General Algebra and Universal Constructions**

by George M. Bergman

**Publisher**: Henry Helson 1998**ISBN/ASIN**: 0965521141**ISBN-13**: 9780965521147**Number of pages**: 398

**Description**:

From the contents: Free groups; A Cook's tour of other universal constructions; 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; Algebra and coalgebra objects in categories, and functors having adjoints.

Download or read it online for free here:

**Download link**

(multiple PS files)

## Similar books

**Smarandache Semirings, Semifields and Semivector Spaces**

by

**W. B. Vasantha Kandasamy**-

**American Research Press**

This is the first book on the Smarandache algebraic structures that have two binary operations. Semirings are algebraic structures with two binary operations enjoying several properties and it is the most generalized structure.

(

**8577**views)

**Hopf Algebras in General and in Combinatorial Physics: a practical introduction**

by

**G.H.E. Duchamp, et al.**-

**arXiv**

This tutorial is intended to give an accessible introduction to Hopf algebras. The mathematical context is that of representation theory, and we also illustrate the structures with examples taken from combinatorics and quantum physics.

(

**5540**views)

**An Introduction to Nonassociative Algebras**

by

**Richard D. Schafer**-

**Project Gutenberg**

Concise study presents in a short space some of the important ideas and results in the theory of nonassociative algebras, with particular emphasis on alternative and (commutative) Jordan algebras. Written as an introduction for graduate students.

(

**9365**views)

**Lie Algebras**

by

**Shlomo Sternberg**

The Campbell Baker Hausdorff formula, sl(2) and its representations, classical simple algebras, Engel-Lie-Cartan-Weyl, conjugacy of Cartan subalgebras, simple finite dimensional algebras, cyclic highest weight modules, Serreās theorem, and more.

(

**13079**views)