Displaying similar documents to “Divisibility in certain automorphism groups”

Extensions of partially ordered partial abelian monoids

Sylvia Pulmannová (2006)

Czechoslovak Mathematical Journal

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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.