{"title":"中心关系上的多项式函数","authors":"D. Schweigert","doi":"10.1109/ISMVL.2004.1319948","DOIUrl":null,"url":null,"abstract":"We show that the algebra R=(R; /spl Lambda/, /spl or/_, 0, f~/sub i/(x)(i/spl isin/I)) is central polynomially complete. Every central polynomially complete algebra is finite. The clones on a set can be found of any finite and infinite cardinality.","PeriodicalId":285497,"journal":{"name":"Proceedings. 34th International Symposium on Multiple-Valued Logic","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Polynomial functions on a central relation\",\"authors\":\"D. Schweigert\",\"doi\":\"10.1109/ISMVL.2004.1319948\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the algebra R=(R; /spl Lambda/, /spl or/_, 0, f~/sub i/(x)(i/spl isin/I)) is central polynomially complete. Every central polynomially complete algebra is finite. The clones on a set can be found of any finite and infinite cardinality.\",\"PeriodicalId\":285497,\"journal\":{\"name\":\"Proceedings. 34th International Symposium on Multiple-Valued Logic\",\"volume\":\"43 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-10-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. 34th International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2004.1319948\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 34th International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2004.1319948","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We show that the algebra R=(R; /spl Lambda/, /spl or/_, 0, f~/sub i/(x)(i/spl isin/I)) is central polynomially complete. Every central polynomially complete algebra is finite. The clones on a set can be found of any finite and infinite cardinality.
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