Abstract
It is known that for all finite n ≥ 5, there are relation algebras with n-dimensional relational bases but no weak representations. We prove that conversely, there are finite weakly representable relation algebras with no n-dimensional relational bases. In symbols: neither of the classes RAn and wRRA contains the other.
Citation
Robin Hirsch. Ian Hodkinson. Roger D. Maddux. "Weak representations of relation algebras and relational bases." J. Symbolic Logic 76 (3) 870 - 882, September 2011. https://doi.org/10.2178/jsl/1309952524
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