{"title":"两个 CR 集的笛卡儿积","authors":"Sayan Goswami","doi":"10.1007/s00233-024-10449-3","DOIUrl":null,"url":null,"abstract":"<p>The notions of a CR set is intimately related with the generalized van der Waerden’s theorem. We prove that the product of two CR sets is again a CR set. This answers Question 4.2 from Hindman et al. (Semigroup Forum 107:127–143, 2023).</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cartesian products of two CR sets\",\"authors\":\"Sayan Goswami\",\"doi\":\"10.1007/s00233-024-10449-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The notions of a CR set is intimately related with the generalized van der Waerden’s theorem. We prove that the product of two CR sets is again a CR set. This answers Question 4.2 from Hindman et al. (Semigroup Forum 107:127–143, 2023).</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00233-024-10449-3\",\"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/10.1007/s00233-024-10449-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The notions of a CR set is intimately related with the generalized van der Waerden’s theorem. We prove that the product of two CR sets is again a CR set. This answers Question 4.2 from Hindman et al. (Semigroup Forum 107:127–143, 2023).
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