Relations between localizations and I -adic completions in commutative domains

Paolo Zanardo

Rendiconti del Seminario Matematico della Università di Padova (1998)

  • Volume: 99, page 247-254
  • ISSN: 0041-8994

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Zanardo, Paolo. "Relations between localizations and $I$-adic completions in commutative domains." Rendiconti del Seminario Matematico della Università di Padova 99 (1998): 247-254. <http://eudml.org/doc/108475>.

@article{Zanardo1998,
author = {Zanardo, Paolo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {localizations; completions; adic topology},
language = {eng},
pages = {247-254},
publisher = {Seminario Matematico of the University of Padua},
title = {Relations between localizations and $I$-adic completions in commutative domains},
url = {http://eudml.org/doc/108475},
volume = {99},
year = {1998},
}

TY - JOUR
AU - Zanardo, Paolo
TI - Relations between localizations and $I$-adic completions in commutative domains
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1998
PB - Seminario Matematico of the University of Padua
VL - 99
SP - 247
EP - 254
LA - eng
KW - localizations; completions; adic topology
UR - http://eudml.org/doc/108475
ER -

References

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  1. [1] D.D. Anderson, TheKrull intersection theorem, Pacific J. Math.57 (1975), pp. 11-14 Zbl0322.13004MR376649
  2. [2] M. Atiyah - I. MACDONALD, Introduction to Commutative Algebra, Addison-Wesley (1969). Zbl0175.03601MR242802
  3. [3] R. Berger - R. Kiehl - E. Kunz - H.-J. Nastold, Differentialrechnung in der analytischen Geometrie, Springer-VerlagBerlin, Heidelberg, New York (1967). Zbl0163.03202MR224870
  4. [4] S. Greco - P. Salmon, Topics in M-adic Topologies, Springer-Verlag, Berlin, Heidelberg, New York (1971). Zbl0205.34501MR282956
  5. [5] E.G. Houston - T.G. Lucas - T.M. Viswanathan, Primary decomposition of divisorial ideals in Mori domains, J. Algebra, 117 (1988), pp. 327-342. Zbl0675.13002MR957444
  6. [6] E. Matlis, Torsion-Free Modules, The University of Chicago Press, Chicago (1972). Zbl0298.13001MR344237
  7. [7] W. May - P. Zanardo, Modules over domains large in a complete discrete valuation ring, to appear. Zbl0987.13002MR1810173
  8. [8] M. Nagata, Local Rings, Wiley, Interscience (1962). Zbl0123.03402MR155856
  9. [9] F.K. Schmidt, Mehrfach perfekte Körper, Math. Ann., 108 (1933), pp. 1-25. MR1512831JFM59.0155.01
  10. [10] P. Zanardo - U. ZANNIER, Commutative domains large in their M-adic completions, Rend. Sem. Mat. Univ. Padova, 95 (1996), pp. 1-9. Zbl0876.13011MR1405350

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