When is Z ⁢ α seminormal or t -closed?

Martine Picavet-L'Hermitte

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 1, page 189-217
  • ISSN: 0392-4041

How to cite

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Picavet-L'Hermitte, Martine. "When is $\mathbb{Z}[\alpha]$ seminormal or $t$-closed?." Bollettino dell'Unione Matematica Italiana 2-B.1 (1999): 189-217. <http://eudml.org/doc/194663>.

@article{Picavet1999,
author = {Picavet-L'Hermitte, Martine},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {-closure property; seminormality; algebraic integer; Dedekind domain; cubic orders},
language = {eng},
month = {2},
number = {1},
pages = {189-217},
publisher = {Unione Matematica Italiana},
title = {When is $\mathbb\{Z\}[\alpha]$ seminormal or $t$-closed?},
url = {http://eudml.org/doc/194663},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Picavet-L'Hermitte, Martine
TI - When is $\mathbb{Z}[\alpha]$ seminormal or $t$-closed?
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/2//
PB - Unione Matematica Italiana
VL - 2-B
IS - 1
SP - 189
EP - 217
LA - eng
KW - -closure property; seminormality; algebraic integer; Dedekind domain; cubic orders
UR - http://eudml.org/doc/194663
ER -

References

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  1. ALBU, T., On a paper of Uchida concerning simple finite extensions of Dedekind domains, Osaka J. Math., 16 (1979), 65-69. Zbl0404.13014MR527017
  2. ANDERSON, D. F.- DOBBS, D. E.- HUCKABA, J. A., On seminormal overrings, Comm. Algebra, 10 (1982), 1421-1448. Zbl0496.13001MR662709
  3. DOBBS, D. E.- FONTANA, M., Seminormal rings generated by algebraic integers, Matematika, 34 (1987), 141-154. Zbl0619.13002MR933493
  4. FERRAND, D.- OLIVIER, J. P., Homomorphismes minimaux d'anneaux, J. Algebra, 16 (1970), 461-471. Zbl0218.13011MR271079
  5. MAURY, G., La condition «intégralement clos» dans quelques structures algébriques, Ann. Sci. Ecole Norm. Sup., 78 (1961), 31-100. Zbl0254.13011MR141621
  6. PICAVET, G.- PICAVET-L'HERMITTE, M., Morphismes t -clos, Comm. Algebra, 21 (1993), 179-219. Zbl0774.13002MR1194555
  7. PICAVET, G.- PICAVET-L'HERMITTE, M., Anneaux t -clos, Comm. Algebra, 23 (1995), 2643-2677. Zbl0857.13021MR1330804
  8. PICAVET-L'HERMITTE, M., Decomposition of order morphisms into minimal morphisms, Math. J. Toyama Univ., 19 (1996), 17-45. Zbl0883.13005MR1427684
  9. SAMUEL, P., Théorie Algébrique des Nombres (Hermann, Paris) 1967. Zbl0146.06402MR215808
  10. SWAN, R. G., On seminormality, J. Algebra, 67 (1980), 210-229. Zbl0473.13001MR595029
  11. TANIMOTO, H., Normality, seminormality and quasinormality of Z ⁢ m n , Hiroshima Math. J., 17 (1987), 29-40. Zbl0627.13003MR886979
  12. UCHIDA, K., When is Z ⁢ α the ring of the integers?, Osaka J. Math., 14 (1977), 155-157. Zbl0358.13006MR450255

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