✦ LIBER ✦

Some properties of lattices of radical classes of lattice-ordered groups

✍ Scribed by D. -R. Ton

Publisher: Springer
Year: 1996
Tongue: English
Weight: 511 KB
Volume: 36
Category: Article
ISSN: 0002-5240
DOI: 10.1007/bf01234104

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Essential extensions and radical classes

Essential extensions and radical classes of lattice-ordered groups

✍ Yuehui Zhang; Jinhe Wei 📂 Article 📅 2005 🏛 Springer 🌐 English ⚖ 500 KB

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

On class groups of lattices

✍ J. Brzezinski 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 953 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

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

Nonlocality of lattice-ordered groups

✍ Anatolii A. Vinogradov; Andrei A. Vinogradov 📂 Article 📅 1969 🏛 Springer US 🌐 English ⚖ 183 KB