τw-LOEWY MODULES AND THEIR APPLICATIONS

Hwankoo Kim; Jung Wook Lim; Dechuan Zhou

doi:10.4134/BKMS.b190049

τ_w-LOEWY MODULES AND THEIR APPLICATIONS

Hwankoo Kim
, Jung Wook Lim
, Dechuan Zhou

Hoseo University
Southwest University of Science and Technology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we study a theory for the structure of τ_w-Loewy series of modules over commutative rings, where τ_w is the hereditary torsion theory induced by the so-called w-operation, and explore the relationship between τ_w-Loewy modules and w-Artinian modules.

Original language	English
Pages (from-to)	1617-1642
Number of pages	26
Journal	Bulletin of the Korean Mathematical Society
Volume	56
Issue number	6
DOIs	https://doi.org/10.4134/BKMS.b190049
State	Published - 2019

Keywords

W-Artiniam module
W-Loewy module
W-operation
W-simple module

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10.4134/BKMS.b190049

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title = "τw-LOEWY MODULES AND THEIR APPLICATIONS",

abstract = "In this paper, we study a theory for the structure of τw-Loewy series of modules over commutative rings, where τw is the hereditary torsion theory induced by the so-called w-operation, and explore the relationship between τw-Loewy modules and w-Artinian modules.",

keywords = "W-Artiniam module, W-Loewy module, W-operation, W-simple module",

author = "Hwankoo Kim and Lim, \{Jung Wook\} and Dechuan Zhou",

note = "Publisher Copyright: {\textcopyright}2019 Korean Mathematial Soiety.",

year = "2019",

doi = "10.4134/BKMS.b190049",

language = "English",

volume = "56",

pages = "1617--1642",

journal = "Bulletin of the Korean Mathematical Society",

issn = "1015-8634",

publisher = "Korean Mathematical Society",

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TY - JOUR

T1 - τw-LOEWY MODULES AND THEIR APPLICATIONS

AU - Kim, Hwankoo

AU - Lim, Jung Wook

AU - Zhou, Dechuan

PY - 2019

Y1 - 2019

N2 - In this paper, we study a theory for the structure of τw-Loewy series of modules over commutative rings, where τw is the hereditary torsion theory induced by the so-called w-operation, and explore the relationship between τw-Loewy modules and w-Artinian modules.

AB - In this paper, we study a theory for the structure of τw-Loewy series of modules over commutative rings, where τw is the hereditary torsion theory induced by the so-called w-operation, and explore the relationship between τw-Loewy modules and w-Artinian modules.

KW - W-Artiniam module

KW - W-Loewy module

KW - W-operation

KW - W-simple module

UR - https://www.scopus.com/pages/publications/85075886318

U2 - 10.4134/BKMS.b190049

DO - 10.4134/BKMS.b190049

M3 - Article

AN - SCOPUS:85075886318

SN - 1015-8634

VL - 56

SP - 1617

EP - 1642

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 6

ER -

τ_w-LOEWY MODULES AND THEIR APPLICATIONS

Abstract

Keywords

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