Characterizing amalgmation bases for relation, cylindric and polyadic algebras
Logic
2013-04-03 v1
Abstract
We characterize completey (give a necessary and suffcient condition using special neat embeddings)for a relation algebra to belong to the amalgamation, strong amalgamation, and superamalgamation base of the class of representable algebras. We do the same for cylindric and polyadic algebras for all dimensions >1, infinite included. Finally, we show that we can expand our algebras by finitely many natural operations, that force the newly expanded algebras to have various forms of amalgamation properties, like quasi-projections and directed cylindrifiers.
Cite
@article{arxiv.1304.0712,
title = {Characterizing amalgmation bases for relation, cylindric and polyadic algebras},
author = {Tarek Sayed Ahmed},
journal= {arXiv preprint arXiv:1304.0712},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:1303.7386