{"title":"Z |( p e )上多项式分裂环及线性递归序列根表示","authors":"戚文峰, 周锦君","doi":"10.1360/ZA1994-24-7-692","DOIUrl":null,"url":null,"abstract":"在引进环 Z /( Pe )上多项式的分裂环概念基础上,讨论了多项式分解和根的性质,利用这些性质和序列簇的结构,给出了 Z /( Pe )上线性递归序列的根表示,并证明这种表示完全由序列唯一确定.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"42 9","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Z |( p e )上多项式分裂环及线性递归序列根表示\",\"authors\":\"戚文峰, 周锦君\",\"doi\":\"10.1360/ZA1994-24-7-692\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"在引进环 Z /( Pe )上多项式的分裂环概念基础上,讨论了多项式分解和根的性质,利用这些性质和序列簇的结构,给出了 Z /( Pe )上线性递归序列的根表示,并证明这种表示完全由序列唯一确定.\",\"PeriodicalId\":256661,\"journal\":{\"name\":\"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science\",\"volume\":\"42 9\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1360/ZA1994-24-7-692\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1360/ZA1994-24-7-692","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
在引进环 Z /( Pe )上多项式的分裂环概念基础上,讨论了多项式分解和根的性质,利用这些性质和序列簇的结构,给出了 Z /( Pe )上线性递归序列的根表示,并证明这种表示完全由序列唯一确定.