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The lattice of interpretability types of varieties
About this Title
O. C. García and W. Taylor
Publication: Memoirs of the American Mathematical Society
Publication Year:
1984; Volume 50, Number 305
ISBNs: 978-0-8218-2308-8 (print); 978-1-4704-0718-6 (online)
DOI: https://doi.org/10.1090/memo/0305
MathSciNet review: 749524
MSC: Primary 08B05; Secondary 06B99, 20E10
Table of Contents
Chapters
- Introduction
- The figures
- Notation used in the figures
- 1. Preliminaries
- 2. The categorical point of view
- 3. The spectrum of $V$ and failures of modularity
- 4. $\bigwedge$-prime and $\bigwedge$-irreducible elements of $L$
- 5. Prime and indecomposable filters of $L$; and Mal’tsev conditions
- 6. Some filters which are not indecomposable or not prime
- 7. $k^{\textrm {th}}$ root filters
- 8. Tensor products on $L$
- 9. Location of varieties in $L$, with emphasis on varieties of groups
- 10. The bottom part of $L$
- 11. A proper class between $C$ and $\operatorname {Bin} 1$
- Open problems