{"title":"$ E $ -Rings and Quotient Divisible Abelian Groups","authors":"M. N. Zonov, E. A. Timoshenko","doi":"10.1134/s003744662306006x","DOIUrl":null,"url":null,"abstract":"<p>Under study are the relations between <span>\\( E \\)</span>-rings and quotient divisible abelian groups.\nWe obtain a criterion for the quotient divisibility of the additive group\nof an <span>\\( E \\)</span>-ring and give a negative solution to the Bowshell and Schultz problem\nabout the quasidecompositions of <span>\\( E \\)</span>-rings.</p>","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":"557 ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s003744662306006x","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Under study are the relations between \( E \)-rings and quotient divisible abelian groups.
We obtain a criterion for the quotient divisibility of the additive group
of an \( E \)-ring and give a negative solution to the Bowshell and Schultz problem
about the quasidecompositions of \( E \)-rings.
期刊介绍：
Siberian Mathematical Journal is journal published in collaboration with the Sobolev Institute of Mathematics in Novosibirsk. The journal publishes the results of studies in various branches of mathematics.
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