The Bass-Quillen problem on a class of local rings with weak global dimension two

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：whoabc

【摘要】

：

Let (R,m) be a local GCD domain. R is called a U2 ring if there is an element u ∈ m-m2 such that R/(u) is a valuation domain and Ru is a B′ezout domain. In th

【作者】

：

FangGui Wang (1)

【机构】

：

1.InstituteofMathematicsandSoftwareScience

【出处】

：

中国科学：数学英文版

【发表日期】

：

2009年1期

【关键词】

：

WEAK global DIMENSION LOCAL DOMAIN PROJECTIVE free weak global dimension local d

【基金项目】

：

supported by the National Natural Science Foundation of China (Grant No. 10671137),the Ph. D. Programs Foundation of Ministry of Education of China (Grant No. 20060636001)

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Let (R,m) be a local GCD domain. R is called a U2 ring if there is an element u ∈ m-m2 such that R/(u) is a valuation domain and Ru is a B′ezout domain. In this case u is called a normal element of R. In this paper we prove that if R is a U2 ring, then R

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The Bass-Quillen problem on a class of local rings with weak global dimension two

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