$\tau_w$-Loewy modules and their applications
Bull. Korean Math. Soc. 2019 Vol. 56, No. 6, 1617-1642
Published online October 18, 2019
Printed November 30, 2019
Hwankoo Kim, Jung Wook Lim, Dechuan Zhou
Hoseo University; Kyungpook National University; Southwest University of Science and Technology
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
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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