| e99 Store |
Help |
| Store Home Search: Books - universal algebra (Keywords) |
| 1-10 of 189 Results Next |
|
|
1. Universal Algebra and Coalgebra by Klaus Denecke, Shelly L. Wismath 
Product Description The purpose of this book is to study the structures needed to model objects in universal algebra, universal coalgebra and theoretical computer science. Universal algebra is used to describe different kinds of algebraic structures, while coalgebras are used to model state-based machines in computer science. The connection between algebras and coalgebras provides a way to connect static data-oriented systems with dynamical behavior-oriented systems. Algebras are used to describe data types and coalgebras describe abstract systems or machines. The book presents a clear overview of the area, from which further study may proceed. ... Read moreCustomer Reviews
|
![@new[19] out of 5 stars](http://g-images.amazon.com/images/G/01/detail//stars-1-0.gif){kind=small}
Based on 1 reviews.|
2. Universal Algebra by George Grätzer
Product Description Universal Algebra heralded as ". . . the standard reference in a field notorious for the lack of standardization . . .", has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well selected additional bibliography of over 1250 papers and books which makes this an indispensable new edition for students, faculty, and workers in the field. "This book will certainly be, in the years to come, the basic reference to the subject." --- The American Mathematical Monthly (First Edition) "In this reviewer's opinion [the author] has more than succeeded in his aim. The problems at the end of each chapter are well-chosen; there are more than 650 of them. The book is especially suitable for self-study, as the author frequently provides ample explanation not only of what he is proving, but also of how and why he is proving it. As a reference work for the specialist or a text for the student, the book is highly recommended." --- Mathematical Reviews (First Edition) "Since the first day of its appearance in 1968, this book has been the standard reference in universal algebra, and no book since has reached its quality." --- Journal of Symbolic Logic (Second Edition) ... Read moreSimilar Items: 1. Topoi: The Categorial Analysis of Logic (Dover Books on Mathematics) 2. Lattice Theory: First Concepts and Distributive Lattices (Dover Books on Mathematics) 3. General Lattice Theory: Volume 1: The Foundation 4. The Princeton Companion to Mathematics 5. Abstract and Concrete Categories: The Joy of Cats . |
|
3. A Course in Universal Algebra (Graduate Texts in Mathematics) by S. Burris, H. P. Sankappanavar, H.P. Sankappanavar
Customer Reviews
Favourite Lists:
|
![@new[19] out of 5 stars](http://g-images.amazon.com/images/G/01/detail//stars-5-0.gif){kind=small}
Based on 3 reviews.|
4. Further Algebra and Applications by Paul M. Cohn
Product Description Further Algebra and Applications is the second volume of a new and revised edition of P.M. Cohn's classic three-volume text "Algebra" which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students. The first volume, "Basic Algebra", covers the important results of algebra; this companion volume focuses on the applications and covers the more advanced parts of topics such as: - groups and algebras - homological algebra - universal algebra - general ring theory - representations of finite groups - coding theory - languages and automata The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks. Keywords: Algebra, PI-rings, Skew fields, Universal algebra Contents: Conventions on Terminology.- Preface.- Universal Algebra.- Homological Algebra.- Further Group Theory.- Algebras.- Central Simple Algebras.- Representation Theory of Finite Groups.- Noetherian Rings and Polynomial Identities.- Rings without Finiteness Assumptions.- Skew Fields.- Coding Theory.- Languages and Automata.- Bibliography.- List of Notations.- Author Index.- Subject Index ... Read moreSimilar Items: 1. Basic Algebra 2. The Princeton Companion to Mathematics 3. Abstract Algebra 4. Lie Groups and Lie Algebras: Chapters 1-3 5. Lie Groups: An Approach through Invariants and Representations (Universitext) . Favourite Lists:
|
|
5. A Treatise on Universal Algebra: With Applications (Cambridge Library Collection - Mathematics) by Alfred North Whitehead
Product Description Alfred North Whitehead (1861-1947) was equally celebrated as a mathematician, a philosopher and a physicist. He collaborated with his former student Bertrand Russell on the first edition of Principia Mathematica (published in three volumes between 1910 and 1913), and after several years teaching and writing on physics and the philosophy of science at University College London and Imperial College, was invited to Harvard to teach philosophy and the theory of education. A Treatise on Universal Algebra was published in 1898, and was intended to be the first of two volumes, though the second (which was to cover quaternions, matrices and the general theory of linear algebras) was never published. This book discusses the general principles of the subject and covers the topics of the algebra of symbolic logic and of Grassmann's calculus of extension. ... Read more |
|
6. A Treatise On Universal Algebra: With Applications, Volume 1 by Alfred North Whitehead
Product Description This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more |
|
7. Universal Algebra for Computer Scientists (Monographs in Theoretical Computer Science. An EATCS Series) by Wolfgang Wechler
Product Description A new model-theoretic approach to universal algebra is offered in this book. Written for computer scientists, it presents a systematic development of the methods and results of universal algebra that are useful in a variety of applications in computer science. The notation is simple and the concepts are clearly presented. The book concerns the algebraic characterization of axiomatic classes of algebras (equational, implicational, and universal Horn classes) by closure operators generalizing the famous Birkhoff Variety Theorem, and the algebraic characterization of the related theories. The book also presents a thorough study of term rewriting systems. Besides basic notions, the Knuth-Bendix completion procedure and termination proof methods are considered. A third main topic is that of fixpoint techniques and complete ordered algebras. Algebraic specifications of abstract data types and algebraic semantics of recursive program schemes are treated as applications. The book is self-contained and suitable both as a textbook for graduate courses and as a reference for researchers. ... Read more |
8. Hopf Algebras: Butcher Group, Group Scheme, Hopf Algebra, Universal Enveloping Algebra, Steenrod Algebra
Product Description Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Butcher Group, Group Scheme, Hopf Algebra, Universal Enveloping Algebra, Steenrod Algebra, Representation Theory of Hopf Algebras, Group Hopf Algebra, Braided Hopf Algebra, Yetter-Drinfeld Category, Quasitriangular Hopf Algebra, H-Space, K-Poincaré Group, Supergroup, Ribbon Hopf Algebra, Augmentation Ideal, K-Poincaré Algebra. Excerpt: In algebra , an augmentation ideal is an ideal in any group ring . If G is a group and R a commutative ring , there is a ring homomorphism , called the augmentation map , from the group ringR to R , defined by taking a sumtoHere r i is an element of R and g i an element of G . The sums are finite, by definition of the group ring. In less formal terms,is defined as 1R whatever the element g in G , and is then extended to a homomorphism of R -modules in the obvious way. The augmentation ideal is the kernel of , and is therefore a two-sided ideal in R . It is generated by the differencesg g 'of group elements.Furthermore it is also generated bywhich is a basis for the augmentation ideal as a free R module.For R and G as above, the group ring R is an example of an augmented R -algebra. Such an algebra comes equipped with a ring homomorphism to R . The kernel of this homomorphism is the augmentation ideal of the algebra.Another class of examples of augmentation ideal can be the kernel of the counit of any Hopf algebra .The augmentation ideal plays a basic role in group cohomology , amongst other applications.References (URLs online) A hyperlinked version of this chapter is at In mathematics a braided Hopf algebra is a Hopf algebra in a braided monoidal category . The most common braided Hopf algebras are objects in a Yetter-Drinfel'd category of a Hopf algebra H .Definition Let H be a Hopf algebra over a field k , and assume that the antipode of H is ... ... Read more |
|
9. Topics in Universal Algebra (Lecture Notes in Mathematics) by B. Jonsson
|
|
10. Universal Algebra and Applications in Theoretical Computer Science by Klaus Denecke, Shelly L. Wismath
Product Description Over the past 20 years, the emergence of clone theory, hyperequational theory, commutator theory and tame congruence theory has led to a growth of universal algebra both in richness and in applications, especially in computer science. Yet most of the classic books on the subject are long out of print and, to date, no other book has integrated these theories with the long-established work that supports them.Universal Algebra and Applications in Theoretical Computer Science introduces the basic concepts of universal algebra and surveys some of the newer developments in the field. The first half of the book provides a solid grounding in the core material. A leisurely pace, careful exposition, numerous examples, and exercises combine to form an introduction to the subject ideal for beginning graduate students or researchers from other areas. The second half of the book focuses on applications in theoretical computer science and advanced topics, including Mal'cev conditions, tame congruence theory, clones, and commutators.The impact of the advances in universal algebra on computer science is just beginning to be realized, and the field will undoubtedly continue to grow and mature. Universal Algebra and Applications in Theoretical Computer Science forms an outstanding text and offers a unique opportunity to build the foundation needed for further developments in its theory and in its computer science applications. ... Read more |
| 1-10 of 189 Results Next |
Questions on ordering or shipping? click here for help.
Copyright © 1998-2007 geometry.net
contact: info@n2000.com