Order dimension of orthomodular amalgamations over trees (Q925260)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Order dimension of orthomodular amalgamations over trees |
scientific article; zbMATH DE number 5281949
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Order dimension of orthomodular amalgamations over trees |
scientific article; zbMATH DE number 5281949 |
Statements
Order dimension of orthomodular amalgamations over trees (English)
0 references
3 June 2008
0 references
Amalgamation of bounded involution posets over strictly directed graphs was introduced by the authors in [Int. J. Theor. Phys. 45, No. 2, 271--283 (2006; Zbl 1107.81006)]. In the present paper they concentrate on amalgamation of finite orthomodular posets over trees. It is shown that in this case the order dimension of the amalgam does not exceed the largest dimension of the amalgamated posets by more than one. In certain special cases this largest dimension is equal to the dimension of the amalgam.
0 references
amalgamation
0 references
dimension
0 references
directed graph
0 references
involution poset
0 references
bounded poset
0 references
orthomodular lattice
0 references
orthomodular poset
0 references
orthoalgebra
0 references
