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Lectures in Universal Algebra
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About This Book
These 34 papers cover topics ranging from various problems on varieties and other classes of algebras including categorical aspects and duality theory to the structure of finite algebras and clones on finite (or infinite) sets.As well as survey articles by invited speakers, the papers contain full proofs of new results not published elsewhere. The volume ends with a list of problems.
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Table of contents
- Front Cover
- Lectures in Universal Algebra
- Copyright Page
- Table of Contents
- Preface
- Scientific Program
- List of Participants
- Chapter 1. On the number of clones containing all constants (A problem of R. McKenzie)
- Chapter 2. Transferable tolerances and weakly tolerance regular lattices
- Chapter 3. Epimorphisms in discriminator varieties
- Chapter 4. On conservative minimal operations
- Chapter 5. Piggyback-dualities
- Chapter 6. On the depth of infinitely generated subalgebras of Post's iterative algebra p3
- Chapter 7. Tolerance-free algebras having majority term functions and admitting no proper subalgebras
- Chapter 8. Polynomial pairs characterizing principality
- Chapter 9. On the connection of cylindrical homomorphisms and point functions for Crs α's
- Chapter 10. A universality condition of 0,1-lattices
- Chapter 11. On the join of some varieties of algebras
- Chapter 12. The Stone-Čech compactification of a pospace
- Chapter 13. Constructions of non–commutative algebras
- Chapter 14. Fully invariant algebraic closure systems of congruences and quasivarieties of algebras
- Chapter 15. On lattices with restrictions on their interval lattices
- Chapter 16. Infinite image homomorphisms of distributive bounded lattices
- Chapter 17. Description of partial algebras by segments
- Chapter 18. Tame congruences
- Chapter 19. Fifteen possible previews in equational logic
- Chapter 20. On strongly non-regular and trivializing varieties of algebras
- Chapter 21. On varieties of semigroups satisfying x3 = x
- Chapter 22. Cryptomorphisms of non-indexed algebras and relational systems
- Chapter 23. Minimal clones I: the five types
- Chapter 24. Quasi-boolean lattices and associations
- Chapter 25. Monoids and their local closures
- Chapter 26. The congruence lattice as an act over the endomorphism monoid
- Chapter 27. Interpolation in idempotent algebras
- Chapter 28. Demi-primal algebras with a single operation
- Chapter 29. Perfect chamber systems
- Chapter 30. More ideals in universal algebra
- Chapter 31. A duality for the lattice variety generated by M3
- Chapter 32. Generation of finite partition lattices
- Chapter 33. Unitary congruence adjunctions
- PROBLEMS