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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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Some results on the asymptotic completion of an ideal
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by J. W. Petro PDF
Proc. Amer. Math. Soc. 15 (1964), 519-524 Request permission
References
    W. Krull, Idealtheorie, Chelsea, New York, 1948.
  • Wolfgang Krull, Beiträge zur Arithmetik kommutativer Integritätsbereiche, Math. Z. 41 (1936), no. 1, 545–577 (German). MR 1545640, DOI 10.1007/BF01180441
  • M. Nagata, Note on a paper of P. Samuel concerning asymptotic properties of ideals, Mem. Coll. Sci. Univ. Kyoto Ser. A Math. 30 (1957), 166-175.
  • D. Rees, Valuations associated with a local ring. I, Proc. London Math. Soc. (3) 5 (1955), 107–128. MR 67095, DOI 10.1112/plms/s3-5.1.107
  • Motoyoshi Sakuma, On prime operations in the theory of ideals, J. Sci. Hiroshima Univ. Ser. A 20 (1956/57), 101–106. MR 94337
  • P. Samuel, Some asymptotic properties of powers of ideals, Ann. of Math. (2) 56 (1952), 11–21. MR 49166, DOI 10.2307/1969764
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Additional Information
  • © Copyright 1964 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 15 (1964), 519-524
  • MSC: Primary 13.20; Secondary 16.00
  • DOI: https://doi.org/10.1090/S0002-9939-1964-0162814-3
  • MathSciNet review: 0162814