Residuated lattices do not have the amalgamation property
Peter Jipsen, Simon Santschi
Abstract
We show that the variety of residuated lattices does not have the amalgamation property.
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Residuated lattices do not have the amalgamation property
Authors
Abstract
We show that the variety of residuated lattices does not have the amalgamation property.
Paper Structure
This paper contains 1 theorem, 4 equations, 1 figure.
Key Result
Theorem 1
The varieties of residuated lattices and idempotent residuated lattices do not have the amalgamation property.
Figures (1)
- Figure 1: Labeled Hasse diagrams for the residuated lattices discussed in the proof of Theorem \ref{['thm']}.
Theorems & Definitions (3)
- Theorem 1
- proof
- Remark