On the quasi-primary decomposition of HK-torsion theories

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• Main Authors: Komarnytskyi, M., Melnyk, I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154607
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the quasi-primary decomposition of HK-torsion theories / M. Komarnytskyi, I. Melnyk // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 60–69. — Бібліогр.: 17 назв. — англ.

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.