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ЖУРНАЛЫ // Algebra and Discrete Mathematics // Архив

Algebra Discrete Math., 2007, выпуск 4, страницы 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

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.

MSC: 20F05, 20E05, 57M07

Поступила в редакцию: 15.05.2007
Исправленный вариант: 15.05.2007

Язык публикации: английский



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