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Projectivity, continuity and adjointness: quantales, Q-posets and Q-modules
Theory and applications of categories, Tome 31 (2016), pp. 839-851 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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In this paper, projective modules over a quantale are characterized by distributivity, continuity, and adjointness conditions. It is then shown that a morphism Q --> A of commutative quantales is coexponentiable if and only if the corresponding Q-module is projective, and hence, satisfies these equivalent conditions.

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Classification : 06F07, 18A40, 18D10, 18D20
Keywords: projective, flat, completely distributive, totally continuous, quantale module 
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     author = {Susan Niefield},
     title = {Projectivity, continuity and adjointness: quantales, {Q-posets} and {
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     url = {http://geodesic.mathdoc.fr/item/TAC_2016_31_a29/}
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Susan Niefield. Projectivity, continuity and adjointness: quantales, Q-posets and 
Q-modules. Theory and applications of categories, Tome 31 (2016), pp. 839-851. http://geodesic.mathdoc.fr/item/TAC_2016_31_a29/