On quantales of preradical Bland filters and differential preradical filters

Ivanna Melnyk


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.


differential ring, quantale, differential preradical filter, differential preradical Bland filter, differential torsion theory, Bland torsion theory

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