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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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by Stephen McAdam PDF
Trans. Amer. Math. Soc. 288 (1985), 563-590 Request permission

Abstract:

In recent years, two concepts similar to $R$-sequences have appeared, essential sequences and asymptotic sequences. This work explores the general nature of such sequences.
References
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  • Stephen McAdam, Saturated chains in Noetherian rings, Indiana Univ. Math. J. 23 (1973/74), 719–728. MR 332768, DOI 10.1512/iumj.1974.23.23060
  • Stephen McAdam, Asymptotic prime divisors, Lecture Notes in Mathematics, vol. 1023, Springer-Verlag, Berlin, 1983. MR 722609, DOI 10.1007/BFb0071575
  • S. McAdam and L. J. Ratliff, Jr., Essential sequences (manuscript).
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  • L. J. Ratliff Jr., Characterizations of catenary rings, Amer. J. Math. 93 (1971), 1070–1108. MR 297752, DOI 10.2307/2373746
  • —, On asymptotic prime divisors (manuscript).
  • L. J. Ratliff Jr., Asymptotic sequences, J. Algebra 85 (1983), no. 2, 337–360. MR 725087, DOI 10.1016/0021-8693(83)90099-6
  • —, Essential sequences over ideals and essential cograde (manuscript).
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 288 (1985), 563-590
  • MSC: Primary 13C15; Secondary 13A15, 13B99
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0776393-9
  • MathSciNet review: 776393