RUS  ENG
Full version
JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2009 Issue 2, Pages 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

Abstract: 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.

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

MSC: 16S90, 13N99

Received: 11.12.2008
Revised: 11.12.2008

Language: English



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024