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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.

$\tau_w$-Loewy modules and their applications

Hwankoo Kim, Jung Wook Lim, Dechuan Zhou

Hoseo University; Kyungpook National University; Southwest University of Science and Technology

Abstract

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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)

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