Bull. Korean Math. Soc. 2019; 56(6): 1617-1642
Online first article October 18, 2019 Printed November 30, 2019
https://doi.org/10.4134/BKMS.b190049
Copyright © The Korean Mathematical Society.
Hwankoo Kim, Jung Wook Lim, Dechuan Zhou
Hoseo University; Kyungpook National University; Southwest University of Science and Technology
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
MSC numbers: 13E10, 13D30
Supported by: This research was supported by the Academic Research Fund of Hoseo University in 2016 (20160026)
2015; 52(2): 549-556
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