Contributions to Universal Algebra
eBook - PDF

Contributions to Universal Algebra

  1. 608 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Contributions to Universal Algebra

Book details
Table of contents
Citations

About This Book

Contributions to Universal Algebra focuses on the study of algebra. The compilation first discusses the congruence lattice of pseudo-simple algebras; elementary properties of limit reduced powers with applications to Boolean powers; and congruent lattices of 2-valued algebras. The book further looks at duality for algebras; weak homomorphisms of stone algebras; varieties of modular lattices not generated by their finite dimensional members; and remarks on algebraic operations of stone algebras. The text describes polynomial normal forms and the embedding of polynomial algebras; coverings in the lattice of varieties; embedding semigroups in semigroups generated by idempotents; and endomorphism semigroups and subgroupoid lattices. The book also discusses a report on sublattices of a free lattice, and then presents the cycles in finite semi-distributive lattices; cycles in S-lattices; and summary of results. The text also describes primitive subsets of algebras, ideals, normal sets, and congruences, as well as Jacobson's density theorem. The book is a good source for readers wanting to study algebra.

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Information

Publisher
North Holland
Year
2014
ISBN
9781483103020
Topic
Mathematics
Subtopic
Number Theory
Index
Mathematics

Table of contents

  1. Front Cover
  2. Contributions to Universal Algebra
  3. Copyright Page
  4. PREFACE
  5. CONTENTS
  6. LIST OF PARTICIPANTS
  7. Chapter 1. ON THE CONGRUENCE LATTICE OF PSEUDO-SIMPLE ALGEBRAS
  8. Chapter 2. ELEMENTARY PROPERTIES OF LIMIT REDUCED POWERS WITH APPLICATIONS TO BOOLEAN POWERS
  9. Chapter 3. ON CONGRUENCE LATTICES OF 2-VALUED ALGEBRAS
  10. Chapter 4. THE c-IDEAL LATTICE AND SUBALGEBRA LATTICE ARE INDEPENDENT
  11. Chapter 5. /-GROUP-CONE AND BOOLEAN ALGEBRA. A COMMON ONE-IDENTITY-AXIOM
  12. Chapter 6. SPLITTING LATTICES AND CONGRUENCE MODULARITY*
  13. Chapter 7. SOME REMARKS ON WEAK AUTOMORPHISMS
  14. Chapter 8. ON POLYNOMIAL ALGEBRAS
  15. Chapter 9. DUALITY FOR ALGEBRAS
  16. Chapter 10. PROJECTIVE AND INJECTIVE VARIETIES OF ABELIAN Ω-ALGEBRAS
  17. Chapter 11. SOME VARIETIES OF MODULAR LATTICES NOT GENERATED BY THEIR FINITE DIMENSIONAL MEMBERS
  18. Chapter 12. ON WEAK HOMOMORPHISMS OF STONE ALGEBRAS
  19. Chapter 13. ON THE SUMS OF DOUBLE SYSTEMS OF LATTICES AND DS-CONGRUENCES OF LATTICES
  20. Chapter 14. n-DISTRIBUTIVITY AND SOME QUESTIONS OF THE EQUATIONAL THEORY OF LATTICES
  21. Chapter 15. POLYNOMIAL NORMAL FORMS AND THE EMBEDDING OF POLYNOMIAL ALGEBRAS
  22. Chapter 16. COVERINGS IN THE LATTICE OF VARIETIES
  23. Chapter 17. EMBEDDING SEMIGROUPS IN SEMIGROUPS GENERATED BY IDEMPOTENTS
  24. Chapter 18. ENDOMORPHISM SEMIGROUPS AND SUBGROUPOID LATTICES
  25. Chapter 19. A NOTE ON IMPLICATIONAL SUBCATEGORIES
  26. Chapter 20. A REPORT ON SUBLATTICES OF A FREE LATTICE
  27. Chapter 21. EXTENSIVE GROUPOID VARIETIES
  28. Chapter 22. PRIMITIVE SUBSETS OF ALGEBRAS
  29. Chapter 23. IDEALS, NORMAL SETS AND CONGRUENCES
  30. Chapter 24. A CHARACTERIZATION OF COMPLETE MODULAR p-ALGEBRAS
  31. Chapter 25. JACOBSON'S DENSITY THEOREM IN UNIVERSAL ALGEBRA
  32. Chapter 26. CERTAIN QUESTIONS OF THE THEORY OF HOMOTOPY OF UNIVERSAL ALGEBRAS
  33. Chapter 27. A THEOREM ON FINITE SUBLATTICES OF FREE LATTICES
  34. Chapter 28. A NOTE ON A PROBLEM OF GORALČÍK
  35. Chapter 29. QUASI-DECOMPOSITIONS, EXACT SEQUENCES, AND TRIPLE SUMS OF SEMIGROUPS. I. GENERAL THEORY
  36. Chapter 30. QUASI-DECOMPOSITIONS, EXACT SEQUENCES, AND TRIPLE SUMS OF SEMIGROUPS. II. APPLICATIONS
  37. Chapter 31. ENDOMORPHICALLY COMPLETE GROUPS
  38. Chapter 32. CONCRETE CATEGORIES WITH NON-INJECTIVE MONOMORPHISM
  39. Chapter 33. ON ALGEBRAS AS TREE AUTOMATA
  40. Chapter 34. ON AFFINE MODULES
  41. Chapter 35. EQUATIONAL LOGIC
  42. Chapter 36. ON REGULAR ALGEBRAS
  43. Chapter 37. REMARKS ON FULLY INVARIANT CONGRUENCES
  44. Chapter 38. VARIETIES GENERATED BY QUASI-PRIMAL ALGEBRAS HAVE DECIDABLE THEORIES
  45. Chapter 39. ON THE POLYNOMIAL COMPLETENESS DEFECT OF UNIVERSAL ALGEBRAS
  46. Chapter 40. ON LATTICES FREELY GENERATED BY FINITE PARTIALLY ORDERED SETS
  47. Chapter 41. PROPER AND IMPROPER FREE ALGEBRAS
  48. PROBLEMS