The lattice of interpretability types of varieties / [electronic resource] O.C. Garcia and W. Taylor.

By: Garc�ia, O. C. (Octavio Carlos), 1933-Contributor(s): Taylor, W. (Walter), 1940-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 305.Publication details: Providence, R.I., USA : American Mathematical Society, c1984Description: 1 online resource (v, 125 p. : ill.)ISBN: 9781470407186 (online)Subject(s): Varieties (Universal algebra) | Lattice theory | Equations, Theory of | Categories (Mathematics)Additional physical formats: lattice of interpretability types of varieties /DDC classification: 510 s | 512 LOC classification: QA3 | .A57 no. 305 | QA251Online resources: Contents | Contents
Contents:
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
Item type: E-BOOKS
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Bibliography: p. 121-125.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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