A remark on Horrocks’ theorem about projective $A[T]$-modules
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- by Budh S. Nashier PDF
- Proc. Amer. Math. Soc. 89 (1983), 8-10 Request permission
Abstract:
A projective module $P$ over $A[T]$ needs no more generators than ${P_f}$ for a monic $f$, and it is nearly determined by ${P_f}$.References
- G. Horrocks, Projective modules over an extension of a local ring, Proc. London Math. Soc. (3) 14 (1964), 714–718. MR 169878, DOI 10.1112/plms/s3-14.4.714 B. R. Plumstead, The conjectures of Eisenbud and Evans, dissertation, University of Chicago, August, 1979.
- Amit Roy, Remarks on a result of Roitman, J. Indian Math. Soc. (N.S.) 44 (1980), no. 1-4, 117–120 (1982). MR 752648
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 8-10
- MSC: Primary 13C10
- DOI: https://doi.org/10.1090/S0002-9939-1983-0706498-3
- MathSciNet review: 706498