A partially ordered abelian group G is said to be ultrasimplicial if for every finite set P of positive elements of G there is a finite set B of positive elements which are linearly independent in the Z-module G, and such that P belongs to the monoid generated by B. In this paper we prove the result stated in the title.
Every Abelian l-group is ultrasimplicial / V. Marra. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 225:2(2000 Mar), pp. 872-884.
Every Abelian l-group is ultrasimplicial
V. MarraPrimo
2000
Abstract
A partially ordered abelian group G is said to be ultrasimplicial if for every finite set P of positive elements of G there is a finite set B of positive elements which are linearly independent in the Z-module G, and such that P belongs to the monoid generated by B. In this paper we prove the result stated in the title.
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