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On projective modules over polynomial rings

On projective modules over polynomial rings
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摘要 In 1955, Serre gave an open problem on freeness of projective modules over polynomial ring over a field. In fact, it was proved by Serre in 1958 that if P is a finitely generated projective module over R[x<sub>1</sub>,…, x<sub>n</sub>], then P is stably isomorphic to a free module.
作者 陈焕艮
机构地区 Mathematics Department
出处 《Chinese Science Bulletin》 SCIE EI CAS 1995年第2期102-104,共3页
基金 Project supported by the National Natural Science Foundation of China
关键词 Serre PROBLEM GROTHENDIECK GROUP REGULAR ring. SERRE PROBLEM GROTHENDIECK GROUP REGULAR RING
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