×

Almost \(f\)-algebras: Structure and the Dedekind completion. (English) Zbl 0967.46008

The authors discuss the structure of almost \(f\)-algebra and prove that the multiplication on an Archimedean almost \(f\)-algebra \(E\) extends to an almost \(f\)-algebra multiplication on the Dedekind completion of \(E\), thus answering a question by the late C. B. Huijsmans.

MSC:

46A40 Ordered topological linear spaces, vector lattices
06F20 Ordered abelian groups, Riesz groups, ordered linear spaces
PDF BibTeX XML Cite
Full Text: DOI