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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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Henselization of a ring with respect to an ideal
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by Silvio Greco PDF
Trans. Amer. Math. Soc. 144 (1969), 43-65 Request permission
References
  • M. Arezzo and S. Greco, Sul gruppo delle classi di ideali, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 21 (1967), 459–483 (Italian). MR 224604
    • N. Bourbaki, Algèbre commutative. I, II, Hermann, Paris, 1961. —, Algèbre commutative. III, IV, Hermann, Paris, 1961.
  • Silvio Greco, Sull’integritá e la fattorialità dei completamenti $m$-adici, Rend. Sem. Mat. Univ. Padova 36 (1966), 50–65 (Italian). MR 201464
  • Silvio Greco, Piattezza della chiusura henseliana, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8) 43 (1967), 329–331 (Italian, with English summary). MR 242813
  • Silvio Greco, Qualche condizione di henselianità per anelli non locali, Matematiche (Catania) 22 (1967), 340–359 (Italian). MR 228479
  • Silvio Greco, Algebra over nonlocal Hensel rings, J. Algebra 8 (1968), 45–59. MR 218348, DOI 10.1016/0021-8693(68)90034-3
    • A. Grothendieck, Eléments de géométrie algébrique, Chapter IV, Part 1, Publ. Math. No. 20, Inst. Hautes Études Sci., 1960. —, Éléments de géométrie algébrique, Chapter IV, Part 4, Publ. Math. No. 32, Inst. Hautes Études Sci., 1968.
  • Jean-Pierre Lafon, Anneaux henséliens, Bull. Soc. Math. France 91 (1963), 77–107 (French). MR 150171, DOI 10.24033/bsmf.1590
  • Masayoshi Nagata, On the theory of Henselian rings, Nagoya Math. J. 5 (1953), 45–57. MR 51821, DOI 10.1017/S0027763000015439
  • Masayoshi Nagata, On the theory of Henselian rings. II, Nagoya Math. J. 7 (1954), 1–19. MR 67865, DOI 10.1017/S002776300001802X
  • Masayoshi Nagata, Local rings, Interscience Tracts in Pure and Applied Mathematics, No. 13, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0155856
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Additional Information
  • © Copyright 1969 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 144 (1969), 43-65
  • MSC: Primary 13.95
  • DOI: https://doi.org/10.1090/S0002-9947-1969-0251030-1
  • MathSciNet review: 0251030