Lukasiewicz-Moisil Algebras ( Volume 49 )

Publication series :Volume 49

Author: Boicescu   V.;Filipoiu   A.;Georgescu   G.  

Publisher: Elsevier Science‎

Publication year: 1991

E-ISBN: 9780080867892

P-ISBN(Paperback): 9780444884442

P-ISBN(Hardback):  9780444884442

Subject: O153.4 Lexicological

Language: ENG

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Description

The Lukasiewicz-Moisil algebras were created by Moisil as an algebraic counterpart for the many-valued logics of Lukasiewicz. The theory of LM-algebras has developed to a considerable extent both as an algebraic theory of intrinsic interest and in view of its applications to logic and switching theory.

This book gives an overview of the theory, comprising both classical results and recent contributions, including those of the authors. N-valued and &THgr;-valued algebras are presented, as well as &THgr;-algebras with negation.

Mathematicians interested in lattice theory or symbolic logic, and computer scientists, will find in this monograph stimulating material for further research.

Chapter

Front Cover

pp.:  1 – 4

Lukasiewicz-Moisil Algebras

pp.:  4 – 5

Copyright Page

pp.:  5 – 10

Preface

pp.:  6 – 14

Table of Contents

pp.:  10 – 6

List of Symbols

pp.:  14 – 18

Chapter 2. Topological Dualities in Lattice Theory

pp.:  100 – 122

Chapter 3. Elementary Properties of Lukasiewicz-Moisil Algebras

pp.:  122 – 182

Chapter 4. Connections With Other Classes of Lattices

pp.:  182 – 264

Chapter 5. Filters, Ideals and v-Congruences

pp.:  264 – 302

Chapter 6. Representation Theorems and Duality for Lukasiewicz-Moisil-Algebras

pp.:  302 – 376

Chapter 7. Categorical Properties of Lukasiewicz-Moisil Algebras

pp.:  376 – 434

Chapter 8. Monadic and Polyadic Lukasiewicz-Moisil Algebras

pp.:  434 – 476

Chapter 9. Lukasiewicz Logics

pp.:  476 – 556

Appendix: Applications to Switching Theory

pp.:  556 – 568

Rrferences

pp.:  568 – 592

Author Index

pp.:  592 – 596

Subject Index

pp.:  596 – 602

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