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

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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 
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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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     volume = {26},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2012_26_a12/}
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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/