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Algebra and Discrete Mathematics, 2007, выпуск 4, страницы 108–122
(Mi adm238)
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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
Аннотация:
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.
Ключевые слова:
differential ring, quantale, differential preradical filter, differential preradical Bland filter, differential torsion theory, Bland torsion theory.
Поступила в редакцию: 15.05.2007 Исправленный вариант: 15.05.2007
Образец цитирования:
Ivanna Melnyk, “On quantales of preradical Bland filters and differential preradical filters”, Algebra Discrete Math., 2007, no. 4, 108–122
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm238 https://www.mathnet.ru/rus/adm/y2007/i4/p108
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