Title

Extensions of l-homomorphisms

Document Type

Article

Publication Date

1-1-1982

Abstract

It is shown that, in abelian l-groups, each morphism to a complete vector lattice extends over any majorizing embedding. This extends a result of the first author for Archimedean f-algebras with identity, and the recent Luxemburg-Schep theorem for vector lattices, and solves a problem of Conrad and McAlister. The proof presented here differs substantially from the Luxem- burg-Schep proof. Ours uses the Yosida representation and Gleason’s theorem on topological projectivity—this is novel, and seems relatively economical and transparent. The l-group theorem is shown to imply, and with some modestly categorical machinery, to be implied by, certain similar statements in subcategories of l-groups. © 1982 Rocky Mountain Mathematics Consortium.

Publication Source (Journal or Book title)

Rocky Mountain Journal of Mathematics

First Page

481

Last Page

490

This document is currently not available here.

Share

COinS