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Extensions of partially ordered partial abelian monoids

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Abstract

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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  1. Mathematical Institute, Slovak Academy of Sciences, SK-814 73, Bratislava, Slovakia

    Sylvia Pulmannová

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  1. Sylvia Pulmannová
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Pulmannová, S. Extensions of partially ordered partial abelian monoids. Czech Math J 56, 155–178 (2006). https://doi.org/10.1007/s10587-006-0011-y

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  • DOI: https://doi.org/10.1007/s10587-006-0011-y

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