Annals of Pure and Applied Logic 108 (1-3):103-136 (2001)
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In this paper we develop the elementary theory of modules in the category Sh of sheaves over right-sided idempotent quantales. The main ingredient is the construction of a logic sound for Sh . As an application we prove that in Sh , a finitely generated projective module is free , a result that is relevant to the study of representation of non-commutative C ∗ -algebras
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DOI | 10.1016/s0168-0072(00)00042-7 |
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References found in this work BETA
Equality in Linear Logic.Marcelo E. Coniglio & Francisco Miraglia - 1996 - Logique Et Analyse 39 (153-154):113-151.
Sheaves Over Right Sided Idempotent Quantales.F. Miraglia & U. Solitro - 1998 - Logic Journal of the IGPL 6 (4):545-600.
Citations of this work BETA
On Principally Generated Quantaloid-Modules in General, and Skew Local Homeomorphisms in Particular.Hans Heymans & Isar Stubbe - 2010 - Annals of Pure and Applied Logic 161 (1):43-65.
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