关于R[x1，…，xn]的高R阶导数的核

IF 0.3 Q4 MATHEMATICS, APPLIED

Algebra & Discrete Mathematics Pub Date : 2021-01-01 DOI:10.12958/adm1236

S. Kour

{"title":"关于R[x1，…，xn]的高R阶导数的核","authors":"S. Kour","doi":"10.12958/adm1236","DOIUrl":null,"url":null,"abstract":"Let R be an integral domain and A=R [x1, . . . ,xn] be the polynomial ring innvariables. In this article, we studythe kernel of higher R-derivation D of A. It is shown that if R isa HCF ring and tr. degR (AD)⩽1 then AD=R[f] for some f ∈ A.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the kernels of higher R-derivations of R[x1,…,xn]\",\"authors\":\"S. Kour\",\"doi\":\"10.12958/adm1236\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let R be an integral domain and A=R [x1, . . . ,xn] be the polynomial ring innvariables. In this article, we studythe kernel of higher R-derivation D of A. It is shown that if R isa HCF ring and tr. degR (AD)⩽1 then AD=R[f] for some f ∈ A.\",\"PeriodicalId\":44176,\"journal\":{\"name\":\"Algebra & Discrete Mathematics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Algebra & Discrete Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12958/adm1236\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra & Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12958/adm1236","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

设R是一个积分域，且A=R [x1，…]，xn]为多项式环内变量。本文研究了A的高R阶导数D的核，证明了如果R是HCF环，且tr. degR (AD)≥1，则对于某f∈A, AD=R[f]。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On the kernels of higher R-derivations of R[x1,…,xn]

Let R be an integral domain and A=R [x1, . . . ,xn] be the polynomial ring innvariables. In this article, we studythe kernel of higher R-derivation D of A. It is shown that if R isa HCF ring and tr. degR (AD)⩽1 then AD=R[f] for some f ∈ A.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Algebra & Discrete Mathematics MATHEMATICS, APPLIED-

CiteScore

0.50

自引率

0.00%

发文量