A Model Theoretic Oriented Approach to Partial Algebras
eBook - PDF

A Model Theoretic Oriented Approach to Partial Algebras

Introduction to Theory and Application of Partial Algebras-Part I

  1. 322 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

A Model Theoretic Oriented Approach to Partial Algebras

Introduction to Theory and Application of Partial Algebras-Part I

Book details
Table of contents
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Yes, you can access A Model Theoretic Oriented Approach to Partial Algebras by P. Burmeister in PDF and/or ePUB format, as well as other popular books in Matemáticas & Álgebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
1986
ISBN
9783112720875
Edition
1
Topic
Matemáticas
Subtopic
Álgebra

Table of contents

  1. PREFACE
  2. CONTENTS
  3. INTRODUCTION
  4. CHAPTER I BASIC DEFINITIONS AND PROPERTIES
  5. 1 The concept of homogeneous and heterogeneous partial algebras
  6. 2 Homomorphisms. congruence relations and factor algebras
  7. 3 Substructures, subalgebras, closed subsets, generation
  8. 4 Direct and reduced products, coproducts, direct limits and related constructions
  9. 5 Universal solutions, free partial algebras, Peano algebras, terms and termoperations
  10. 6 The equational theory of partial algebras
  11. CHAPTER II A BASIS FOR A TWO-VALUED MODEL THEORY FOR PARTIAL ALGEBRAS
  12. 7 A "first order" language for (infinitary) partial (S-) algebras
  13. 8 Elementary implications, universal Horn formulas
  14. 9 Preservation (reflection) of formulas by mappings
  15. 10 Factorization systems of partial algebras
  16. CHAPTER III BIRKHOFF TYPE RESULTS FOR ELEMENTARY IMPLICATIONS
  17. 11 Direct limits revisited
  18. 12 A Meta Birkhoff Type Theorem
  19. 13 Construction of examples for the Meta Birkhoff Theorem
  20. 14 Closed classes of epimorphisms (elementary implications)
  21. CHAPTER IV SPECIAL TOPICS
  22. 15 Algebraic operations
  23. 16 Semi lattices of (weak) completions
  24. 17 Independence, free partial algebras and primitive classes
  25. 18 Dependence of operations on arguments and element basis property
  26. 19 Congruence relations revisited
  27. 20 Subdirect representations of partial algebras
  28. 21 More facts about E-varieties
  29. APPENDIX
  30. 22 Survey on some additional concepts and results
  31. 23 Sane definitions and facts from set theory
  32. 24 Ordered sets, algebraic lattices and Galois connections
  33. References
  34. LIST OF SYMBOLS
  35. INDEX