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http://dx.doi.org/10.4134/BKMS.b190049

τw-LOEWY MODULES AND THEIR APPLICATIONS  

Kim, Hwankoo (Division of Computer & Information Engineering Hoseo University)
Lim, Jung Wook (Department of Mathematics Kyungpook National University)
Zhou, Dechuan (Southwest University of Science and Technology)
Publication Information
Bulletin of the Korean Mathematical Society / v.56, no.6, 2019 , pp. 1617-1642 More about this Journal
Abstract
In this paper, we study a theory for the structure of ${\tau}_w$-Loewy series of modules over commutative rings, where ${\tau}_w$ is the hereditary torsion theory induced by the so-called w-operation, and explore the relationship between ${\tau}_w$-Loewy modules and w-Artinian modules.
Keywords
w-operation; w-Artiniam module; w-Loewy module; w-simple module;
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