Title
On generation of finite posets by meet-irreducibles
Abstract
Necessary and sufficient conditions for a finite poset and a finite distributive lattice to have isomorphic posets of meet-irreducible elements are given. Hence, it is proved that every finite partially ordered set with a given poset of meet-irreducibles is order-embeddable into the corresponding finite distributive lattice. (C) 1998 Elsevier Science B.V. All rights reserved.
Year
DOI
Venue
1998
10.1016/S0012-365X(97)00196-9
Discrete Mathematics
Keywords
Field
DocType
partially ordered set,distributive lattice
Discrete mathematics,Congruence lattice problem,Combinatorics,Distributive lattice,Birkhoff's representation theorem,Isomorphism,Star product,Partially ordered set,Mathematics
Journal
Volume
Issue
ISSN
186
1-3
0012-365X
Citations 
PageRank 
References 
2
0.78
1
Authors
2
Name
Order
Citations
PageRank
Branimir Šešelja117023.33
Andreja Tepavcevic214322.67