Bhatwadekar, S. M. ; Varma, P. L. N. (1993) Extendibility criterion for a projective module of rank one over R[T] and R[T,T-1] Proceedings of the American Mathematical Society, 119 (4). pp. 1069-1075. ISSN 0002-9939
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Official URL: http://www.ams.org/journals/proc/1993-119-04/S0002...
Abstract
In this note we give a criterion for a finitely generated projective module P of constant rank one over R[ T ] or R[ T, T ] to be extended from R in terms of invertible ideals, when R is an integral domain. We show that if I is an invertible ideal of R[ T ] or R[ T, T ] such that I ∩ R ≠ 0, then I is extended from R if and only if I ∩ R is an invertible ideal of R.
Item Type: | Article |
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Source: | Copyright of this article belongs to American Mathematical Society. |
ID Code: | 3236 |
Deposited On: | 11 Oct 2010 09:55 |
Last Modified: | 16 May 2016 14:05 |
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