| Authors: | Šešelja, Branimir Tepavčević, Andreja |
Title: | Collection of Finite Lattices Generated by a Poset | Journal: | Order: A Journal on the Theory of Ordered Sets and its Applications | Volume: | 17 | Issue: | 2 | First page: | 129 | Last page: | 139 | Issue Date: | 1-Jan-2000 | Rank: | M23 | ISSN: | 0167-8094 | DOI: | 10.1023/A:1006473619786 | Abstract: | It is proved that the collection of all finite lattices with the same partially ordered set of meet-irreducible elements can be ordered in a natural way so that the obtained poset is a lattice. Necessary and sufficient conditions under which this lattice is Boolean, distributive and modular are given. |
Keywords: | Finite distributive lattice | Finite lattice | Meet-irreducible | Representation of lattices | Publisher: | Springer Link |
Show full item record
SCOPUSTM
Citations
6
checked on Jul 26, 2024
Page view(s)
45
checked on May 9, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.