56
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Weak normality and t-closedness

Pages 2395-2422 | Received 01 Apr 1998, Published online: 27 Jun 2007

References

  • Akiba , T. 1989 . Remarks on flat and relatively seminormal pairs . Kobe J. Math , 6 : 217 – 222 .
  • Angermüller , G. 1983 . On the root and integral closure of Noetherian domains of dimension one . J. Algebra , 83 : 437 – 441 .
  • Bourbaki , N. 1981 . Algèbre , Paris : Masson . Chapitres, IV à VII
  • Dobbs , D.E. and Roitman , M. 1995 . Weak normalization of power series rings . Canad. Math. Bull , 38 : 429 – 433 .
  • Grothendieck , A. and Dieudonné , J. 1971 . “ Eléments de Géométrie Algébrique I ” . In Grund. der Math , Vol. 166 , Berlin : Springer Verlag .
  • Maloo , A.K. 1996 . Weak normalization and the power series rings . J. Pure Appl. Algebra , 114 : 89 – 92 .
  • Manaresi , M. 1980 . Some properties of weakly normal varieties . Nagoya Math. J , 77 : 61 – 74 .
  • Olivier , J.P. . Le foncteur T -∞. Globalisation du foncteur T . Séminaire P. Samuel . Vol. 9 , Paris : Secrétariat Mathématique .
  • Onoda , N. and Yoshida , K. 1984 . Remarks on quasinormal rings . J. Pure Appl. Algebra , 33 : 59 – 67 .
  • Picavet , G. and Picavet-LHermitte , M. 1993 . Morphismes t-clos . Comm. in Algebra , 21 : 179 – 219 .
  • Picavet , G. and Picavet-LHermitte , M. 1995 . Anneaux t-clos . Comm. in Algebra , 23 : 2643 – 2677 .
  • Picavet-LHermitte , M. 1996 . “ Decomposition of order morphisms into minimal morphisms ” . In Math. J , Vol. 19 , 17 – 45 . Toyama Univ .
  • Swan , R.G. 1980 . On seminormality . J. Algebra , 67 : 210 – 229 .
  • Traverso , C. 1970 . Seminormality and Picard group . Ann. Scuola Norm. Sup. Pisa , 24 : 585 – 595 .
  • Yanagihara , H. 1983 . Some results on weakly normal ring extensions . J. Math. Soc. Japan , 35 : 649 – 661 .
  • Yanagihara , H. 1985 . On an intrinsic definition of weakly normal rings . Kobe J. Math , 2 : 89 – 98 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.