{"title":"τ w -LOEWY MODULES AND THEIR APPLICATIONS","authors":"Hwankoo Kim, J. Lim, D. Zhou","doi":"10.4134/BKMS.B190049","DOIUrl":null,"url":null,"abstract":"In this paper, we study a theory for the structure of τwLoewy 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.","PeriodicalId":55301,"journal":{"name":"Bulletin of the Korean Mathematical Society","volume":"56 1","pages":"1617-1642"},"PeriodicalIF":0.6000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Korean Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4134/BKMS.B190049","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we study a theory for the structure of τwLoewy 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.
期刊介绍:
This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).