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ЖУРНАЛЫ // Algebra and Discrete Mathematics // Архив

Algebra Discrete Math., 2009, выпуск 2, страницы 60–69 (Mi adm119)

RESEARCH ARTICLE

On the quasi-primary decomposition of HK-torsion theories

Mykola Komarnytskyi, Ivanna Melnyk

Algebra and Logic Department, Mechanics and Mathematics Faculty,Ivan Franko National University of Lviv, 1 Universytetska Str., Lviv, 79000, Ukraine

Аннотация: The paper is devoted to the study of quasi-primary decompositions of torsion theories in the rings which derivatives. It is shown that every $HK$-torsion theory of the differential noetherian completely bounded ring it is an intersection of finite number of quasi-primary $HK$-torsion theories.

Ключевые слова: $HK$-torsion theory, differential kernel functor, quasi-primary decomposition.

MSC: 16S90, 13N99

Поступила в редакцию: 11.12.2008
Исправленный вариант: 11.12.2008

Язык публикации: английский



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