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Algebra and Discrete Mathematics, 2007, Issue 4, Pages 108–122 (Mi adm238)  
RESEARCH ARTICLE

On quantales of preradical Bland filters and differential preradical filters

Ivanna Melnyk

Algebra and Logic Department, Mechanics and Mathematics Faculty, Ivan Franko National University of Lviv, 1 Universytetska Str., Lviv, 79000, Ukraine
Full-text PDF (256 kB)
Abstract: 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, quantale, differential preradical filter, differential preradical Bland filter, differential torsion theory, Bland torsion theory.
Received: 15.05.2007
Revised: 15.05.2007
Bibliographic databases:
Document Type: Article
MSC: 20F05, 20E05, 57M07
Language: English
Citation: Ivanna Melnyk, “On quantales of preradical Bland filters and differential preradical filters”, Algebra Discrete Math., 2007, no. 4, 108–122
Citation in format AMSBIB
\Bibitem{Mel07}
\by Ivanna~Melnyk
\paper On quantales of preradical Bland filters and differential preradical filters
\jour Algebra Discrete Math.
\yr 2007
\issue 4
\pages 108--122
\mathnet{http://mi.mathnet.ru/adm238}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2423714}
\zmath{https://zbmath.org/?q=an:1164.16013}
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