Natural homomorphisms of Witt rings of orders in algebraic number fields

Marzena Ciemała

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 5, page 473-477
  • ISSN: 0232-0525

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Ciemała, Marzena. "Natural homomorphisms of Witt rings of orders in algebraic number fields." Mathematica Slovaca 54.5 (2004): 473-477. <http://eudml.org/doc/32160>.

@article{Ciemała2004,
author = {Ciemała, Marzena},
journal = {Mathematica Slovaca},
keywords = {Witt ring; orders in number fields; bilinear forms on ideals},
language = {eng},
number = {5},
pages = {473-477},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Natural homomorphisms of Witt rings of orders in algebraic number fields},
url = {http://eudml.org/doc/32160},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Ciemała, Marzena
TI - Natural homomorphisms of Witt rings of orders in algebraic number fields
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 5
SP - 473
EP - 477
LA - eng
KW - Witt ring; orders in number fields; bilinear forms on ideals
UR - http://eudml.org/doc/32160
ER -

References

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  1. CRAVEN T. C.-ROSENBERG A.-WARE R., The map of the Witt ring of a domain into the Witt ring of its field of fractions, Proc. Amer. Math. Soc. 51 (1975), 25-30. (1975) MR0384789
  2. CZOGAŁA A., Generators of the Witt groups of algebraic integers, Ann. Math. Sil. 12 (1998), 105-121. (1998) MR1673080
  3. GEROLDINGER A.-HALТER-KOCH F.-KACZOROWSKI J., Non-unique factorization in orders of global fields, J. Reine Angew. Math. 459 (1995), 89-118. (1995) MR1319518
  4. MAТSUMURA H., Commutative Ring Theory, Cambridge Univ. Press, Cambridge, 1986. (1986) MR0879273
  5. MILNOR J.-HUSEMOLLER D., Symmetric Bilinear Forms, Springer-Verlag, Berlin-Heidelberg-New York, 1973. (1973) MR0506372
  6. NARKIEWICZ W., Elementary and Analytic Theory of Algebraic Numbers, (2nd ed.), PWN/Springеr-Vеrlag, Warszawa/Berlin-Heidеlberg-New York, 1990. (1990) Zbl0717.11045MR1055830
  7. NEUKIRCH J., Algebraic Number Theory, Springer-Verlag, Berlin, 1999. (1999) MR1697859
  8. SZYMICZEK K., Problem session, The 4th Czech and Polish Conference on Number Theory, Cieszyn, June 11-14, 2002; Ann. Math. Sil. 16 (2003), 79-81. MR1800217

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