Pointfree pointwise suprema in unital archimedean ℓ-groups
نویسندگان
چکیده
منابع مشابه
Archimedean Unital Groups with Finite Unit Intervals
Let G be a unital group with a finite unit interval E, let n be the number of atoms in E, and let κ be the number of extreme points of the state spaceΩ(G). We introduce canonical order-preserving group homomorphisms ξ : Zn → G and ρ : G → Zκ linking G with the simplicial groups Zn and Zκ . We show that ξ is a surjection and ρ is an injection if and only if G is torsion-free. We give an explicit...
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If there is an order-preserving group isomorphism from a directed abelian group G with a finitely generated positive cone G+ onto a simplicial group, then G is called a semisimplicial group. By factoring out the torsion subgroup of a unital group having a finite unit interval, one obtains a semisimplicial unital group. We exhibit a representation for the base-normed space associated with a semi...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2015
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2015.03.006