{"title":"若干素数中心的von Neumann正则环和π正则环的结构","authors":"H. Abu-Khuzam","doi":"10.12988/ija.2023.91738","DOIUrl":null,"url":null,"abstract":"We study the structure of certain von Neumann regular rings and π-regular rings with certain constraints such as having a prime and other constraints. For example, we prove that a π-regular ring with prime center is strongly π-regular, and other related results are also proved. An example is also given to illustrate our result","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"86 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the structure of certain von Neumann regular and π-regular rings with prime center\",\"authors\":\"H. Abu-Khuzam\",\"doi\":\"10.12988/ija.2023.91738\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the structure of certain von Neumann regular rings and π-regular rings with certain constraints such as having a prime and other constraints. For example, we prove that a π-regular ring with prime center is strongly π-regular, and other related results are also proved. An example is also given to illustrate our result\",\"PeriodicalId\":13756,\"journal\":{\"name\":\"International Journal of Algebra and Computation\",\"volume\":\"86 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Algebra and Computation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12988/ija.2023.91738\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Algebra and Computation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/ija.2023.91738","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the structure of certain von Neumann regular and π-regular rings with prime center
We study the structure of certain von Neumann regular rings and π-regular rings with certain constraints such as having a prime and other constraints. For example, we prove that a π-regular ring with prime center is strongly π-regular, and other related results are also proved. An example is also given to illustrate our result
期刊介绍:
The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.