Quantales and Their Sheaves
作者： Gilberte van den Bossche , Francis Borceux
DOI: 10.1007/BF00403411
关键词: Topos theory 、 Quantum logic 、 Complete lattice 、 Quantale 、 Mathematics 、 Morphism 、 Lattice (order) 、 Algebra 、 Binary multiplication
摘要: A quantale is a complete lattice provided with binary multiplication which, in particular, distributes over ∨ each variable. First we study the quantales, their morphisms, points and relations theory of locales: case where just meet. We describe presheaves sheaves on exhibit link between corresponding toposes quantum logic.
springer.com
sci-hub.se 参考文章(7)
Peter Gabriel, Friedrich Ulmer, Lokal α-präsentierbare Kategorien Springer, Berlin, Heidelberg. pp. 71- 84 ,(1971) , 10.1007/BFB0059404
G. Vandenbossche, Francis Borceux, Algebra in a Localic Topos with Applications to Ring Theory ,(1983)
P.J. Freyd, G.M. Kelly, Categories of continuous functors, I Journal of Pure and Applied Algebra. ,vol. 2, pp. 169- 191 ,(1972) , 10.1016/0022-4049(72)90001-1
B. Banaschewski, The Power of the Ultrafilter Theorem Journal of the London Mathematical Society. ,vol. s2-27, pp. 193- 202 ,(1983) , 10.1112/JLMS/S2-27.2.193
Richard S. Pierce, Modules over Commutative Regular Rings ,(1967)
W. Arveson, An Invitation to C*-Algebras Graduate Texts in Mathematics. ,(1976) , 10.1007/978-1-4612-6371-5
Francis Borceux, Gilberte Van den Bossche, Algebra in a Localic Topos with Applications to Ring Theory Lecture Notes in Mathematics. ,(1983) , 10.1007/BFB0073030