eBook - PDF
A Model Theoretic Oriented Approach to Partial Algebras
Introduction to Theory and Application of Partial Algebras-Part I
- 322 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
A Model Theoretic Oriented Approach to Partial Algebras
Introduction to Theory and Application of Partial Algebras-Part I
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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 Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- PREFACE
- CONTENTS
- INTRODUCTION
- CHAPTER I BASIC DEFINITIONS AND PROPERTIES
- 1 The concept of homogeneous and heterogeneous partial algebras
- 2 Homomorphisms. congruence relations and factor algebras
- 3 Substructures, subalgebras, closed subsets, generation
- 4 Direct and reduced products, coproducts, direct limits and related constructions
- 5 Universal solutions, free partial algebras, Peano algebras, terms and termoperations
- 6 The equational theory of partial algebras
- CHAPTER II A BASIS FOR A TWO-VALUED MODEL THEORY FOR PARTIAL ALGEBRAS
- 7 A "first order" language for (infinitary) partial (S-) algebras
- 8 Elementary implications, universal Horn formulas
- 9 Preservation (reflection) of formulas by mappings
- 10 Factorization systems of partial algebras
- CHAPTER III BIRKHOFF TYPE RESULTS FOR ELEMENTARY IMPLICATIONS
- 11 Direct limits revisited
- 12 A Meta Birkhoff Type Theorem
- 13 Construction of examples for the Meta Birkhoff Theorem
- 14 Closed classes of epimorphisms (elementary implications)
- CHAPTER IV SPECIAL TOPICS
- 15 Algebraic operations
- 16 Semi lattices of (weak) completions
- 17 Independence, free partial algebras and primitive classes
- 18 Dependence of operations on arguments and element basis property
- 19 Congruence relations revisited
- 20 Subdirect representations of partial algebras
- 21 More facts about E-varieties
- APPENDIX
- 22 Survey on some additional concepts and results
- 23 Sane definitions and facts from set theory
- 24 Ordered sets, algebraic lattices and Galois connections
- References
- LIST OF SYMBOLS
- INDEX