On the category Q -Mod

• Autores: Sergey A. Solovyov
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 58, Nº. 1, 2008, págs. 35-58
• Idioma: inglés
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• Resumen

  • 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.