# 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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