Sulla henselizzazione degli anelli aritmetici

Rosario Strano

Rendiconti del Seminario Matematico della Università di Padova (1975)

  • Volume: 53, page 149-163
  • ISSN: 0041-8994

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Strano, Rosario. "Sulla henselizzazione degli anelli aritmetici." Rendiconti del Seminario Matematico della Università di Padova 53 (1975): 149-163. <http://eudml.org/doc/107545>.

@article{Strano1975,
author = {Strano, Rosario},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {ita},
pages = {149-163},
publisher = {Seminario Matematico of the University of Padua},
title = {Sulla henselizzazione degli anelli aritmetici},
url = {http://eudml.org/doc/107545},
volume = {53},
year = {1975},
}

TY - JOUR
AU - Strano, Rosario
TI - Sulla henselizzazione degli anelli aritmetici
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1975
PB - Seminario Matematico of the University of Padua
VL - 53
SP - 149
EP - 163
LA - ita
UR - http://eudml.org/doc/107545
ER -

References

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  1. [1] M.F. Atiyah - I.G. Macdonald, Introduction to commutative algebra, Addison-Wesley, Reading, Mass. (1969). Zbl0175.03601MR242802
  2. [2] N. Bourbaki, Algèbre commutative, cap. I-II, Hermann, Parigi (1961). 
  3. [3] N. Bourbaki, Algèbre commutative, cap. V-VI, Hermann, Parigi (1964). Zbl0205.34302MR194450
  4. [4] L. Fuchs, Über die Ideale aritmetitischer Ringe, Comm. Math. Helv.23 (1949), pp. 334-341. Zbl0040.30103MR32583
  5. [5] P.T. Gill, Almost maximal valuation rings, Journ. London Math. Soc., Second Series, 4 (1971), pp. 140-146. Zbl0219.13016MR292822
  6. [6] S. Greco, Henselization of a ring with respect to an ideal, Trans. AMS, 144 (1969), pp. 43-65. Zbl0197.03303MR251030
  7. [7] I. Kaplansky, Modules over Dedekind rings and valuation rings, Trans. AMS, 72 (1952), pp. 327-340. Zbl0046.25701MR46349
  8. [8] W. Krull, Allgemeine Bewertungstheorie, Jour. Reine Angew. Math., 167 (1931), pp. 160-196. Zbl0004.09802
  9. [9] J.P. Lafon, Anneaux hensélien, Bull. Soc. Math. de France, 91 (1963), pp. 77-107. Zbl0126.06601MR150171
  10. [10] J.P. Lafon, Anneaux commutatifs sur lesquels tout module de type fini est somme direct de modules monogénes, J. of Algebra, 17 (1971), pp. 575-591. Zbl0215.37001MR282968
  11. [11] J.P. Lafon, Modules de présentation fini et de type fini sur un anneau arithmétique, Symposia Math., 11 (1971), pp. 121-141. Zbl0286.13008MR332761
  12. [12] M.D. Larsen - P.J. Mccarthy, Multiplicative theory of ideals, Acad. Press, New York (1971). Zbl0237.13002MR414528
  13. [13] E. Matlis, Injective modules over Prüfer rings, Nagoya Math. J., 15 (1959), pp. 57-69. Zbl0090.25305MR109840
  14. [14] M. Nagata, On the theory of henselian rings, Nagoya Math. J., 5 (1953), pp. 45-57. Zbl0051.02601MR51821
  15. [15] P. Ribemboim, Théorie des valuations, Les Presses de l'Univ. de 2Montréal (1964). Zbl0139.26201
  16. [16] R. Strano, Sulla henselizzazione di anelli di valutazione e di anelli di Prüfer, Rend. Sem. Mat. Univ. Padova, in corso di stampa. Zbl0313.13023MR384770
  17. [17] R.B. Warfield, Decomposability of finitely presented modules, Proc. AMS, 25 (1970), pp. 167-172. Zbl0204.05902MR254030
  18. [18] D. Zelinski, Linearly compact modules and rings, Am. J. of Math., 75 (1953), pp. 79-90. Zbl0050.10802MR51832

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