On the quasi-primary decomposition of HK-torsion theories

• Date: 2018
• Main Authors: Komarnytskyi, Mykola, Melnyk, Ivanna
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: HK-torsion theory; differential kernel functor; quasi-primary decomposition; 16S90; 13N99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/777
• Journal Title: Algebra and Discrete Mathematics

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.