✦ LIBER ✦

The orthocompletion of a lattice-ordered group

✍ Scribed by Roger D Bleier

Publisher: Elsevier Science
Year: 1976
Weight: 449 KB
Volume: 79
Category: Article
ISSN: 1385-7258
DOI: 10.1016/1385-7258(76)90000-7

No coin nor oath required. For personal study only.

✦ Synopsis

A new construction

for the orthocompletion of an l-group is given and discussed. Its relation to the Z-group of almost-kite continuous real-valued functions on a Stone space is clarified.

📜 SIMILAR VOLUMES

Valuations of Lattice-Ordered Groups

✍ Paul F. Conrad; Michael R. Darnel; David G. Nelson 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 379 KB

In this paper, we introduce the concept of a valuation mapping of an l-group G onto a distributive lattice and use such valuations to investigate the structure of G. Then we examine the maximal immediate extensions of G with respect to these Ž valuations. For the natural valuation, these are the arc

Classes of Ultrasimplicial Lattice-Order

Classes of Ultrasimplicial Lattice-Ordered Abelian Groups

✍ Daniele Mundici 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 71 KB

A lattice-ordered abelian group is called ultrasimplicial iff every finite set of positive elements belongs to the monoid generated by some finite set of positive Z-independent elements. This property originates from Elliott's classification of AF C U -algebras. Using fans and their desingularizatio

Examples of lattice-ordered rings

✍ Stuart A Steinberg 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 590 KB

On lattice property of group induced con

On lattice property of group induced cone orderings

✍ Marek Niezgoda 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 102 KB

The problem of existence and uniqueness of greatest lower bound (glb) and least upper bound (lub) of a set in group induced cone (GIC) ordering is discussed. Explicit formula for the glb is given. The results are applied to obtain the best possible upper bound in GIC ordering for values of linear an

The lattice theory of r-ordered partitio

The lattice theory of r-ordered partitions

✍ Michel Serfati 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 934 KB

This paper deals with ordered patitions of a set (indexed by some integer r) considered as 'natural' extensions of subsets, mainly from the lattice theory viewpoint (secondary, ring theory aspects). The present theory is in fact a (complete) set-theoretical realization of general Post algebras. This

The lattice of antichain cutsets of a pa

The lattice of antichain cutsets of a partially ordered set

✍ Gerhard Behrendt 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 125 KB

## Behrendt, G., The lattice of antichain cutsets of a partially ordered set, Discrete Mathematics 89 (1991) 201-202. Every finite lattice is isomorphic to the lattice of antichain cutsets of a finite partially ordered set whose chains have at most three elements. A subset A of a partially order