A Note on the Set-Theoretic Representation of Arbitrary Lattices
| dc.creator | Dosen, K. | |
| dc.date | 2003-03-01 | |
| dc.date.accessioned | 2026-07-07T04:55:41Z | |
| dc.date.available | 2026-07-07T04:55:41Z | |
| dc.description | Every lattice is isomorphic to a lattice whose elements are sets of sets, and whose operations are intersection and an operation extending the union of two sets of sets A and B by the set of all sets in which the intersection of an element of A and of an element of B is included. This representation spells out precisely Birkhoff's and Frinks's representation of arbitrary lattices, which is related to Stone's set-theoretic representation of distributive lattices. | |
| dc.description | 3 pages (published in A. Krapez ed., A Tribute to S.B. Presic, Mathematical Institute, Belgrade, 2001, pp. 99-101) | |
| dc.identifier | https://arxiv.org/abs/math/0303005 | |
| dc.identifier | http://arxiv.org/abs/math/0303005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66664 | |
| dc.subject | Logic | |
| dc.subject | 06B15 | |
| dc.title | A Note on the Set-Theoretic Representation of Arbitrary Lattices | |
| dc.type | text |