{"title":"GrÖbner基推广及Z/(m)上多条序列综合算法","authors":"周锦君, 戚文峰, 周玉洁","doi":"10.1360/ZA1995-25-2-113","DOIUrl":null,"url":null,"abstract":"将GrObner基推广到环(Z/( P e )[x 1 ,…,x n ])/I上, p 是素数,e≥1, I 是Z/( P e )[x 1 ,…,x n ]的理想,应用推广的GrObner基理论,给出了环Z/( m )上多条序列的综合算法,算法复杂性是 O ( N 2 ).","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"450 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"GrÖbner基推广及Z/(m)上多条序列综合算法\",\"authors\":\"周锦君, 戚文峰, 周玉洁\",\"doi\":\"10.1360/ZA1995-25-2-113\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"将GrObner基推广到环(Z/( P e )[x 1 ,…,x n ])/I上, p 是素数,e≥1, I 是Z/( P e )[x 1 ,…,x n ]的理想,应用推广的GrObner基理论,给出了环Z/( m )上多条序列的综合算法,算法复杂性是 O ( N 2 ).\",\"PeriodicalId\":256661,\"journal\":{\"name\":\"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science\",\"volume\":\"450 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-02-20\",\"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/ZA1995-25-2-113\",\"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/ZA1995-25-2-113","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
将GrObner基推广到环(Z/( P e )[x 1 ,…,x n ])/I上, p 是素数,e≥1, I 是Z/( P e )[x 1 ,…,x n ]的理想,应用推广的GrObner基理论,给出了环Z/( m )上多条序列的综合算法,算法复杂性是 O ( N 2 ).