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Article Dans Une Revue Journal of Pure and Applied Algebra Année : 1992

Injective positively ordered monoids I

Résumé

We define in this paper a certain notion of completeness for a wide class of commutative (pre)ordered monoids (from now on POMs). This class seems to be the natural context for studying structures like measurable function spaces, equidecomposability types of spaces, partially ordered abelian groups and cardinal algebras. Roughly speaking, spaces of measures with values in complete POMs are complete POMs. Furthermore, this notion of completeness makes it possible to characterize injective POMs 'internally'.
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Dates et versions

hal-00004711 , version 1 (14-04-2005)

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Friedrich Wehrung. Injective positively ordered monoids I. Journal of Pure and Applied Algebra, 1992, 83 (1), pp.43--82. ⟨10.1016/0022-4049(92)90104-N⟩. ⟨hal-00004711⟩
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