Extensions of partially ordered partial abelian monoids

被引：0

作者：

Sylvia Pulmannová

机构：

[1] Slovak Academy of Sciences,Mathematical Institute

来源：

Czechoslovak Mathematical Journal | 2006年 / 56卷

关键词：

abelian partially ordered groups; partially ordered partial abelian monoids; effect algebras; MV-algebras; Riesz decomposition properties; short exact sequences; extensions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The notion of a partially ordered partial abelian monoid is introduced and extensions of partially ordered abelian monoids by partially ordered abelian groups are studied. Conditions for the extensions to exist are found. The cases when both the above mentioned structures have the Riesz decomposition property, or are lattice ordered, are treated. Some applications to effect algebras and MV-algebras are shown.

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页码：155 / 178

页数：23

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