Un exemple de domaine de Krull non commutatif au sens de Marubayashi borné qui n’est ni noethérien, ni un R -ordre de Fossum

J. B. Delifer; G. Maury

Publications du Département de mathématiques (Lyon) (1978)

  • Volume: 15, Issue: 4, page 49-60
  • ISSN: 0076-1656

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Delifer, J. B., and Maury, G.. "Un exemple de domaine de Krull non commutatif au sens de Marubayashi borné qui n’est ni noethérien, ni un $\mathrm {R}$-ordre de Fossum." Publications du Département de mathématiques (Lyon) 15.4 (1978): 49-60. <http://eudml.org/doc/273420>.

@article{Delifer1978,
author = {Delifer, J. B., Maury, G.},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {essential localization; Asano order; left ring of fractions; noncommutative bounded Krull domain; Fossum R-order},
language = {fre},
number = {4},
pages = {49-60},
publisher = {Université Claude Bernard - Lyon 1},
title = {Un exemple de domaine de Krull non commutatif au sens de Marubayashi borné qui n’est ni noethérien, ni un $\mathrm \{R\}$-ordre de Fossum},
url = {http://eudml.org/doc/273420},
volume = {15},
year = {1978},
}

TY - JOUR
AU - Delifer, J. B.
AU - Maury, G.
TI - Un exemple de domaine de Krull non commutatif au sens de Marubayashi borné qui n’est ni noethérien, ni un $\mathrm {R}$-ordre de Fossum
JO - Publications du Département de mathématiques (Lyon)
PY - 1978
PB - Université Claude Bernard - Lyon 1
VL - 15
IS - 4
SP - 49
EP - 60
LA - fre
KW - essential localization; Asano order; left ring of fractions; noncommutative bounded Krull domain; Fossum R-order
UR - http://eudml.org/doc/273420
ER -

References

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  1. [1] Asano K. et Murata K., Arithmetical ideal theory in semi groups. J. Inst. Polyt. Osaka Univ., Série A, t.4 (1953) p 9-33. Zbl0053.34902MR59269
  2. [2] Beachy and Blair, Localization at semi prime ideals, J. of algebra38 (1976) p. 309-314. Zbl0324.16002MR401816
  3. [3] Blair, Right noetherian rings integral over their center. J. of algebra27 (1973) p. 187-198. Zbl0268.16013MR325679
  4. [4] G. Cauchon, T-anneaux et I-P-anneaux noethériens. Thèse d'état. Université Paris XI (1977). 
  5. [5] Chamarie M., Localisation dans les ordres maximaux. Comm. in algebra2, (4), 279-293 (1974). Zbl0289.16006MR352154
  6. [6] Fossum R., Maximal orders over Krull domains. J. of algebra10 (1968), p. 321-332. Zbl0165.35204MR233809
  7. [7] Kothe, Schiefkörper unendlichen Ranges über dem Zentrum. Math. Annalen105, (1931) p. 15-39. Zbl0002.11802JFM57.0156.05
  8. [8] Marubayashi M., Non commutative Krull prime rings. Osaka J. of Math.12 (1975), p. 703. Zbl0321.16002MR396642
  9. [9] Marubayashi M., On bounded Krull prime rings. Osaka J. Math.13 (1976), p. 491-501. Zbl0355.16002MR437578
  10. [10] Marubayashi M., Charactérisation of bounded Krull Prime rings. Osaka J. of Math.15 (1978), p. 13-20. Zbl0394.16002MR485952
  11. [11] Marubayashi M., Remarks on ideals of bounded Krull. Prime rings, Procedings of the Japan Academy, Vol. 53, n° 1 (1977). Zbl0383.16001MR429970
  12. [12] Maury G., La théorie des ordres maximaux au sens de K. AsanoVorlesungen aus dem Math.Institut Giessen Heft6 (1976). Zbl0326.16007MR424861

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