Cartesian sum solvability of \(\mathcal K\)-ordered algebras (Q2857889)
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: Cartesian sum solvability of \(\mathcal K\)-ordered algebras |
scientific article; zbMATH DE number 6229076
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cartesian sum solvability of \(\mathcal K\)-ordered algebras |
scientific article; zbMATH DE number 6229076 |
Statements
19 November 2013
0 references
partially ordered vector space
0 references
lattice-ordered vector space
0 references
linearly ordered vector space
0 references
0.8588119
0 references
0.85460454
0 references
0.8486217
0 references
0.8458688
0 references
Cartesian sum solvability of \(\mathcal K\)-ordered algebras (English)
0 references
The paper deals with the so-called Kopytov orders (\(K\)-orders) on linear algebras over partially ordered fields. The author shows, e.g., that for any lattice \(K\)-ordered algebra \(A\) over a directed field satisfying a certain condition there exists a lattice isomorphism of \(A\) into a Cartesian sum of linearly \(K\)-ordered algebras.
0 references
