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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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On the canonical element conjecture
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by Sankar P. Dutta
Trans. Amer. Math. Soc. 299 (1987), 803-811
DOI: https://doi.org/10.1090/S0002-9947-1987-0869233-2
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Abstract:

The canonical element conjecture is proved in the following two cases: (i) depth $A = \dim A - 1$, $H_m^{n - 1}(A)$ is decomposable; (ii) depth $A = \dim A - 1$, $H_m^{n - 1}{(A)^ \vee }$ is cyclic. The equivalence of the C.E.C. and the improved new intersection theorem is also established.
References
  • Melvin Hochster, Canonical elements in local cohomology modules and the direct summand conjecture, J. Algebra 84 (1983), no. 2, 503–553. MR 723406, DOI 10.1016/0021-8693(83)90092-3
    • P. Roberts, The equivalence of two forms of the canonical element conjecture, preprint.
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Bibliographic Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 299 (1987), 803-811
  • MSC: Primary 13H10; Secondary 13D99
  • DOI: https://doi.org/10.1090/S0002-9947-1987-0869233-2
  • MathSciNet review: 869233