{"title":"比弱环更通用的两种新代数结构","authors":"Teng Zhang","doi":"10.2989/16073606.2024.2392242","DOIUrl":null,"url":null,"abstract":"In 1994, Bergelson and Hindman established a remarkable result for IP* sets: for any IP* set A and any sequence l in ℕ, there exists a sum subsystem l′ of l such that all finite sums and finite pro...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"23 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Two new algebraic structures more general than weak rings\",\"authors\":\"Teng Zhang\",\"doi\":\"10.2989/16073606.2024.2392242\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In 1994, Bergelson and Hindman established a remarkable result for IP* sets: for any IP* set A and any sequence l in ℕ, there exists a sum subsystem l′ of l such that all finite sums and finite pro...\",\"PeriodicalId\":49652,\"journal\":{\"name\":\"Quaestiones Mathematicae\",\"volume\":\"23 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quaestiones Mathematicae\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2989/16073606.2024.2392242\",\"RegionNum\":4,\"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":"Quaestiones Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2989/16073606.2024.2392242","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: 0
摘要
1994 年,伯格森和辛德曼为 IP* 集建立了一个非凡的结果:对于任何 IP* 集 A 和ℕ 中的任何序列 l,都存在一个 l 的和子系统 l′,使得所有有限和与有限原...
Two new algebraic structures more general than weak rings
In 1994, Bergelson and Hindman established a remarkable result for IP* sets: for any IP* set A and any sequence l in ℕ, there exists a sum subsystem l′ of l such that all finite sums and finite pro...
期刊介绍:
Quaestiones Mathematicae is devoted to research articles from a wide range of mathematical areas. Longer expository papers of exceptional quality are also considered. Published in English, the journal receives contributions from authors around the globe and serves as an important reference source for anyone interested in mathematics.