Geodesic
Injective hulls of partially ordered monoids
Theory and applications of categories, Tome 26 (2012), pp. 338-348

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We find the injective hulls of partially ordered monoids in the category whose objects are po-monoids and submultiplicative order-preserving functions. These injective hulls are with respect to a special class of monics called ``embeddings''. We show as well that the injective objects with respect to these embeddings are precisely the quantales.

Publié le :
Classification : 06F05, 06F07, 08B30
Keywords: partially ordered monoids, injectives 
J. Lambek; Michael Barr; John F. Kennison; R. Raphael. Injective hulls of partially ordered monoids. Theory and applications of categories, Tome 26 (2012), pp. 338-348. http://geodesic.mathdoc.fr/item/TAC_2012_26_a12/
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     author = {J. Lambek and Michael Barr and John F. Kennison and R. Raphael},
     title = {Injective hulls of partially ordered monoids},
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     pages = {338--348},
     year = {2012},
     volume = {26},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2012_26_a12/}
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