On quantales of preradical Bland filters and differential preradical filters

• Published in: Algebra and Discrete Mathematics
• Date: 2007
• Main Author: Melnyk, I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152386
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On quantales of preradical Bland filters and differential preradical filters / I. Melnyk // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 4. — С. 108–122. — Бібліогр.: 16 назв. — англ.

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.