$\tau_w$-Loewy modules and their applications
Bull. Korean Math. Soc.
Published online October 18, 2019
Hwankoo Kim, Jung Wook Lim, and 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 $w$-locally Artinian modules.
Keywords : $w$-operation; $w$-Artiniam module: $w$-Loewy module; $w$-simple module
MSC numbers : 13E10; 13D30
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