Geodesic
On quantales of preradical Bland filters and differential preradical filters
Algebra and discrete mathematics, no. 4 (2007), pp. 108-122

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We prove that the set of all Bland preradical filters over an arbitrary differential ring form a quantale with respect to meets where the role of multiplication is played by the usual Gabriel pro-duct of filters. A subset of a differential pretorsion theory is a subquantale of this quantale.
Keywords: differential ring, differential preradical filter, differential preradical Bland filter, differential torsion theory, Bland torsion theory.
Mots-clés : quantale 
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     author = {Ivanna Melnyk},
     title = {On quantales of preradical {Bland} filters and differential preradical filters},
     journal = {Algebra and discrete mathematics},
     pages = {108--122},
     publisher = {mathdoc},
     number = {4},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2007_4_a9/}
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Ivanna Melnyk. On quantales of preradical Bland filters and differential preradical filters. Algebra and discrete mathematics, no. 4 (2007), pp. 108-122. http://geodesic.mathdoc.fr/item/ADM_2007_4_a9/