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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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
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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