Arguesian lattices whose skeleton is a chain (Q1095959)
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: Arguesian lattices whose skeleton is a chain |
scientific article; zbMATH DE number 4029643
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arguesian lattices whose skeleton is a chain |
scientific article; zbMATH DE number 4029643 |
Statements
Arguesian lattices whose skeleton is a chain (English)
0 references
1987
0 references
This continues work of Jónsson on the representation of finite length modular lattices by vector spaces or, more generally, permuting equivalences. Of course, the Arguesian law is necessary. If the skeleton is a chain it is also sufficient - requiring subdirect separation of characteristics for the vector representation, also. The basis is the coordinatization theorem of projective geometry.
0 references
Arguesian lattice
0 references
representation of finite length modular lattices by vector spaces
0 references
permuting equivalences
0 references
vector representation
0 references
coordinatization theorem
0 references
