A note on cylindric lattices
Banach Center Publications (1993)
- Volume: 28, Issue: 1, page 231-238
- ISSN: 0137-6934
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topDüntsch, Ivo. "A note on cylindric lattices." Banach Center Publications 28.1 (1993): 231-238. <http://eudml.org/doc/262810>.
@article{Düntsch1993,
abstract = {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.},
author = {Düntsch, Ivo},
journal = {Banach Center Publications},
keywords = {simple algebra; subdirectly reducible algebra; cylindric lattice; cylindrifications; finite dimension},
language = {eng},
number = {1},
pages = {231-238},
title = {A note on cylindric lattices},
url = {http://eudml.org/doc/262810},
volume = {28},
year = {1993},
}
TY - JOUR
AU - Düntsch, Ivo
TI - A note on cylindric lattices
JO - Banach Center Publications
PY - 1993
VL - 28
IS - 1
SP - 231
EP - 238
AB - 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.
LA - eng
KW - simple algebra; subdirectly reducible algebra; cylindric lattice; cylindrifications; finite dimension
UR - http://eudml.org/doc/262810
ER -
References
top- [D] I. Düntsch, An algebraic view of relational databases, preprint, Universität Osnabrück, 1991.
- [G] G. Grätzer, General Lattice Theory, Birkhäuser, 1978. Zbl0436.06001
- [H] B. Hansen, On reducts of cylindric algebras, preprint, Math. Institute, Budapest, 1992.
- [HMT] L. Henkin, J. D. Monk and A. Tarski, Cylindric Algebras, Vols. I, II, North-Holland, 1971, 1985.
- [N] I. Németi, Algebraizations of quantifier logics, an introductory overview, preprint, Math. Institute, Budapest, 1991. Zbl0772.03033
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