Hyperidentities and clones

Hyperidentities and clones

by Denecke, Klaus

Type Book
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Theories and results on hyperidentities have been published in various areas of the literature over the last 18 years. Hyperidentities and Clones integrates these into a coherent framework for the first time. The author also includes some applications of hyperidentities to the functional completeness problem in multiple-valued logic and extends the general theory to partial algebras. The last chapter contains exercises and open problems with suggestions for future work in this area of research.…

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Title Statements

  • Full title :Hyperidentities and clones / by Klaus Denecke and S L Wismath.

Summary

Theories and results on hyperidentities have been published in various areas of the literature over the last 18 years. Hyperidentities and Clones integrates these into a coherent framework for the first time. The author also includes some applications of hyperidentities to the functional completeness problem in multiple-valued logic and extends the general theory to partial algebras. The last chapter contains exercises and open problems with suggestions for future work in this area of research. Graduate students and mathematical researchers will find Hyperidentities and Clones a thought-provoking and illuminating text that offers a unique opportunity to study the topic in one source.

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Edition Statements

  • Publication Date:2000.
  • Edition:First edition

Publication Statements

The Physical Object

  • Description:1 online resource (328 pages)

Edition Identifiers

  • ISBN:9781482287516, 148228751X
  • oclc:on1074276795
  • LC Classification:QA251
  • Dewey Decimal:512

Table of Contents

Chapter 1 Basic Concepts -- chapter 2 Hyperidentities and Hypervarieties -- chapter 3 Hyperidentities in Varieties of Semigroups -- chapter 4 M-Hyperidentities and M-Solid Varieties -- chapter 5 M-Solid Varieties of Semigroups -- chapter 6 Describing Clones by Hyperidentities -- chapter 7 Hyperidentities in Partial Algebras -- chapter 8 Exercises and Problems.

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