Injective positively ordered monoids I
Wehrung, Friedrich
HAL, hal-00004711 / Harvested from HAL
Text on HAL
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'.
Publié le : 1992-07-05
Classification:  Commutative monoid,  positively ordered,  injective,  refinement property,  Primary 06F05, 06F30; Secondary 28B10,  [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM] 
@article{hal-00004711,
     author = {Wehrung, Friedrich},
     title = {Injective positively ordered monoids I},
     journal = {HAL},
     volume = {1992},
     number = {0},
     year = {1992},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00004711}
}

Wehrung, Friedrich. Injective positively ordered monoids I. HAL, Tome 1992 (1992) no. 0, . http://gdmltest.u-ga.fr/item/hal-00004711/