Abstract.
In this paper we consider the category Q-Mod of modules over a given quantale Q. The paper is motivated by constructions and results from the category of modules over a ring. We show that the category Q-Mod is monadic, consider its relation to the category Q-Top of Q-topological spaces and generalize a method of completion of partially ordered sets.
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Received December 20, 2005; accepted in final form December 4, 2006.
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Solovyov, S.A. On the category Q-Mod. Algebra univers. 58, 35–58 (2008). https://doi.org/10.1007/s00012-008-2038-4
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DOI: https://doi.org/10.1007/s00012-008-2038-4