关于RD-flat模块的子平面域

IF 0.7 Q2 MATHEMATICS

Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2023-02-28 DOI:10.31801/cfsuasmas.1229943

Mücahit BOZKURT, Yilmaz DURĞUN

{"title":"关于RD-flat模块的子平面域","authors":"Mücahit BOZKURT, Yilmaz DURĞUN","doi":"10.31801/cfsuasmas.1229943","DOIUrl":null,"url":null,"abstract":"The concept of subflat domain is used to measure how close (or far away) a module is to be flat. A right module is flat if its subflat domain is the entire class of left modules. In this note, we focus on of RD-flat modules that have subflat domain which is exactly the collection of all torsion-free modules, shortly tf-test modules. Properties of subflat domains and of tf-test modules are studied. New characterizations of left P-coherent rings and torsion-free rings by subflat domains of cyclically presented left $R$-modules are obtained.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":"457 1","pages":"0"},"PeriodicalIF":0.7000,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On subflat domains of RD-flat modules\",\"authors\":\"Mücahit BOZKURT, Yilmaz DURĞUN\",\"doi\":\"10.31801/cfsuasmas.1229943\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The concept of subflat domain is used to measure how close (or far away) a module is to be flat. A right module is flat if its subflat domain is the entire class of left modules. In this note, we focus on of RD-flat modules that have subflat domain which is exactly the collection of all torsion-free modules, shortly tf-test modules. Properties of subflat domains and of tf-test modules are studied. New characterizations of left P-coherent rings and torsion-free rings by subflat domains of cyclically presented left $R$-modules are obtained.\",\"PeriodicalId\":44692,\"journal\":{\"name\":\"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics\",\"volume\":\"457 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31801/cfsuasmas.1229943\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31801/cfsuasmas.1229943","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

子平面域的概念是用来测量一个模块是平面的远近。如果一个右模的子平面域是左模的整个类，那么它就是平面的。在本文中，我们关注具有子平面域的RD-flat模块，子平面域是所有无扭转模块的集合，简称tf测试模块。研究了子平面域和tf测试模块的性质。利用循环呈现的左$R$模的亚平面域，得到了左p -相干环和无扭环的新表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On subflat domains of RD-flat modules

The concept of subflat domain is used to measure how close (or far away) a module is to be flat. A right module is flat if its subflat domain is the entire class of left modules. In this note, we focus on of RD-flat modules that have subflat domain which is exactly the collection of all torsion-free modules, shortly tf-test modules. Properties of subflat domains and of tf-test modules are studied. New characterizations of left P-coherent rings and torsion-free rings by subflat domains of cyclically presented left $R$-modules are obtained.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics MATHEMATICS-

自引率

0.00%

发文量