A Course in Universal Algebra - Graduate Texts in Mathematics 78 (Paperback)
  • A Course in Universal Algebra - Graduate Texts in Mathematics 78 (Paperback)
zoom

A Course in Universal Algebra - Graduate Texts in Mathematics 78 (Paperback)

(author), (author)
£69.99
Paperback 276 Pages / Published: 21/10/2011
  • Temporarily unavailable

Currently unavailable to order

Email me when available

Stay one step ahead and let us notify you when this item is next available to order

Universal algebra has enjoyed a particularly explosive growth in the last twenty years, and a student entering the subject now will find a bewildering amount of material to digest. This text is not intended to be encyclopedic; rather, a few themes central to universal algebra have been developed sufficiently to bring the reader to the brink of current research. The choice of topics most certainly reflects the authors' interests. Chapter I contains a brief but substantial introduction to lattices, and to the close connection between complete lattices and closure operators. In particular, everything necessary for the subsequent study of congruence lattices is included. Chapter II develops the most general and fundamental notions of uni versal algebra-these include the results that apply to all types of algebras, such as the homomorphism and isomorphism theorems. Free algebras are discussed in great detail-we use them to derive the existence of simple algebras, the rules of equational logic, and the important Mal'cev conditions. We introduce the notion of classifying a variety by properties of (the lattices of) congruences on members of the variety. Also, the center of an algebra is defined and used to characterize modules (up to polynomial equivalence). In Chapter III we show how neatly two famous results-the refutation of Euler's conjecture on orthogonal Latin squares and Kleene's character ization of languages accepted by finite automata-can be presented using universal algebra. We predict that such "applied universal algebra" will become much more prominent.

Publisher: Springer-Verlag New York Inc.
ISBN: 9781461381327
Number of pages: 276
Weight: 462 g
Dimensions: 235 x 155 x 16 mm
Edition: 1981 ed.

You may also be interested in...

Edexcel Award in Algebra Level 3 Workbook
Added to basket
Linear Algebra For Dummies
Added to basket
Linear Algebra
Added to basket
£35.49
Paperback
Galois Theory
Added to basket
Schaum's Outline of Matrix Operations
Added to basket
Interest Rate Modeling. Volume 2
Added to basket
An Introduction to the Theory of Numbers
Added to basket
The Manga Guide To Linear Algebra
Added to basket
Linear Algebra
Added to basket
£43.99
Paperback
Introduction to Algebra
Added to basket
Conceptual Mathematics
Added to basket
Interest Rate Modeling. Volume 1
Added to basket
Linear Algebra Done Right
Added to basket

Please sign in to write a review

Your review has been submitted successfully.