Invertibility preserving linear maps on \(\mathcal J\)-subspace lattice algebras (Q1410717)
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: Invertibility preserving linear maps on \(\mathcal J\)-subspace lattice algebras |
scientific article; zbMATH DE number 1993124
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invertibility preserving linear maps on \(\mathcal J\)-subspace lattice algebras |
scientific article; zbMATH DE number 1993124 |
Statements
Invertibility preserving linear maps on \(\mathcal J\)-subspace lattice algebras (English)
0 references
15 October 2003
0 references
The authors prove that every unital surjective linear map between \(\mathfrak L\)-subspace lattice algebras which preserves invertibility in both directions is a Jordan isomorphism. This result is also applied to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras.
0 references
\(\mathfrak L\)-subspace lattices
0 references
invertibility preserving
0 references
Jordan isomorphisms
0 references
0 references
0 references
