Frames associated with an abelian l-group

Document Type

Article

Publication Date

1-1-1992

Abstract

Every archimedean l-group (lattice-ordered group) with weak unit is shown to be isomorphic to a sub-l-group of the l-group of continuous realvalued functions on a Tychonoff locale canonically associated with the l-group. This strengthens the classical Yosida representation theorem in a useful way. The proof uses methods from universal algebra and is constructive. © 1992 American Mathematical Society.

Publication Source (Journal or Book title)

Transactions of the American Mathematical Society

First Page

265

Last Page

279

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