In this paper the classification of ABELian groups in terms of affine completeness initiated by LAUSH and NOBAUER in [2] and continued by N~BAUER in [3] and [4] is completed. ## 1. Preliminaries. The word "group" will mean, throughout the paper, "ABELian group". If X is a subset of a group A. then
Regularizations in abelian complete ordered groups
β Scribed by Michel Volle
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 549 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
For any partially ordered abelian group G, we relate the structure of the ordered Ž . Ž monoid ⳠG of inter¨als of G i.e., nonempty, upward directed lower subsets of . G , to various properties of G, as for example interpolation properties, or topological properties of the state space when G has an
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