**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

**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.

(

**5913**views)

**Algebraic Invariants**

by

**Leonard E. Dickson**-

**J. Wiley & Sons**

This introduction to the classical theory of invariants of algebraic forms is divided into three parts: linear transformations; algebraic properties of invariants and covariants; symbolic notation of Aronhold and Clebsch.

(

**6375**views)

**An introduction to Algebra and Topology**

by

**Pierre Schapira**-

**University of Luxemburg**

These lecture notes are an elementary introduction to the language of categories and sheaves. From the table of contents: Linear algebra over a ring; The language of categories; Sheaves (Flabby sheaves and soft sheaves, Cohomology of sheaves).

(

**7286**views)

**Set Theoretic Approach to Algebraic Structures in Mathematics**

by

**W. B. Vasantha Kandasamy, Florentin Smarandache**-

**Educational Publisher**

This book brings out how sets in algebraic structures can be used to construct the most generalized algebraic structures, like set linear algebra / vector space, set ideals in groups and rings and semigroups, and topological set vector spaces.

(

**6867**views)