{"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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2989/16073606.2024.2392242\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2989/16073606.2024.2392242","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
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...
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