On stably extended projective modules over polynomial rings

Moshe Roitman

doi:10.1090/S0002-9939-1986-0845969-9

On stably extended projective modules over polynomial rings

Moshe Roitman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove here that if A is a commutative noetherian ring of Krull dimension d and of finite characteristic prime to d!, then stably extended projective A[X₁,…, Xn]-modules of rank ≥ d/2 + 1 are extended from A.

Original language	English
Pages (from-to)	585-589
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	97
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1986-0845969-9
State	Published - Aug 1986

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1986-0845969-9

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title = "On stably extended projective modules over polynomial rings",

abstract = "We prove here that if A is a commutative noetherian ring of Krull dimension d and of finite characteristic prime to d!, then stably extended projective A[X1,…, Xn]-modules of rank ≥ d/2 + 1 are extended from A.",

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On stably extended projective modules over polynomial rings

Abstract

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