0. Introduction. Besides being of intrinsic interest, cylindric (semi-) lattices arise naturally from the study of dependencies in relational databases; the polynomials on a cylindric semilattice are closely related to the queries obtainable from project-join mappings on a relational database (cf. [D] for references). This note is intended to initiate the study of these structures, and only a few, rather basic results will be given. Some problems at the end will hopefully stimulate further research. Related issues are discussed in [H], and for further background material the reader is invited to consult [N]. I should like to thank H. Andréka and I. Németi for stimulating discussions on the subject.
@article{bwmeta1.element.bwnjournal-article-bcpv28z1p231bwm,
author = {D\"untsch, Ivo},
title = {A note on cylindric lattices},
journal = {Banach Center Publications},
volume = {28},
year = {1993},
pages = {231-238},
zbl = {0794.03091},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv28z1p231bwm}
}
Düntsch, Ivo. A note on cylindric lattices. Banach Center Publications, Tome 28 (1993) pp. 231-238. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv28z1p231bwm/
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[001] [G] G. Grätzer, General Lattice Theory, Birkhäuser, 1978. | Zbl 0436.06001
[002] [H] B. Hansen, On reducts of cylindric algebras, preprint, Math. Institute, Budapest, 1992.
[003] [HMT] L. Henkin, J. D. Monk and A. Tarski, Cylindric Algebras, Vols. I, II, North-Holland, 1971, 1985.
[004] [N] I. Németi, Algebraizations of quantifier logics, an introductory overview, preprint, Math. Institute, Budapest, 1991. | Zbl 0772.03033