符合 j-清洁和弱 j-清洁特性的双汞齐化

Gulf Journal of Mathematics Pub Date : 2023-11-12 DOI:10.56947/gjom.v15i2.1439

Khalid Adarbeh, Mohammad Adarbeh

{"title":"符合 j-清洁和弱 j-清洁特性的双汞齐化","authors":"Khalid Adarbeh, Mohammad Adarbeh","doi":"10.56947/gjom.v15i2.1439","DOIUrl":null,"url":null,"abstract":"This paper establishes the necessary and sufficient conditions for a bi-amalgamation to inherit the J-clean and weakly J-clean properties in the commutative setting. The new results recover previous works carried on these rings in amalgamations and trivial extensions, also, they are used to provide new examples and counterexamples of J-clean and weakly J-clean rings arise as bi-amalgamations.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"39 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bi-amalgamations subject to j-clean and weakly j-clean properties\",\"authors\":\"Khalid Adarbeh, Mohammad Adarbeh\",\"doi\":\"10.56947/gjom.v15i2.1439\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper establishes the necessary and sufficient conditions for a bi-amalgamation to inherit the J-clean and weakly J-clean properties in the commutative setting. The new results recover previous works carried on these rings in amalgamations and trivial extensions, also, they are used to provide new examples and counterexamples of J-clean and weakly J-clean rings arise as bi-amalgamations.\",\"PeriodicalId\":421614,\"journal\":{\"name\":\"Gulf Journal of Mathematics\",\"volume\":\"39 2\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-11-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gulf Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/gjom.v15i2.1439\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gulf Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/gjom.v15i2.1439","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

本文建立了双合并在交换环境中继承 J 清和弱 J 清性质的必要条件和充分条件。这些新结果恢复了以前在这些环的汞齐和微分扩展中进行的工作，还用来提供新的例子和反例，说明 J 清环和弱 J 清环是作为双汞齐出现的。

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

Bi-amalgamations subject to j-clean and weakly j-clean properties

This paper establishes the necessary and sufficient conditions for a bi-amalgamation to inherit the J-clean and weakly J-clean properties in the commutative setting. The new results recover previous works carried on these rings in amalgamations and trivial extensions, also, they are used to provide new examples and counterexamples of J-clean and weakly J-clean rings arise as bi-amalgamations.

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

Gulf Journal of Mathematics

自引率

0.00%

发文量