Block ideals and arithmetics of algebras

W. E. Jenner

Compositio Mathematica (1953)

  • Volume: 11, page 187-203
  • ISSN: 0010-437X

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Jenner, W. E.. "Block ideals and arithmetics of algebras." Compositio Mathematica 11 (1953): 187-203. <http://eudml.org/doc/88799>.

@article{Jenner1953,
author = {Jenner, W. E.},
journal = {Compositio Mathematica},
keywords = {moduls, rings, fields},
language = {eng},
pages = {187-203},
publisher = {Kraus Reprint},
title = {Block ideals and arithmetics of algebras},
url = {http://eudml.org/doc/88799},
volume = {11},
year = {1953},
}

TY - JOUR
AU - Jenner, W. E.
TI - Block ideals and arithmetics of algebras
JO - Compositio Mathematica
PY - 1953
PB - Kraus Reprint
VL - 11
SP - 187
EP - 203
LA - eng
KW - moduls, rings, fields
UR - http://eudml.org/doc/88799
ER -

References

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  1. Artin, E. [1] Zur Arithmetik hyperkomplexer Zahlen. Abh. Math. Sem.Univ. Hamburg5 (1927), 261-289. Zbl53.0115.01JFM53.0115.01
  2. Artin, E., Nesbitt, C.J. and Thrall, R.M. [2] Rings with Minimum Condition, Michigan, 1946. Zbl0060.07701MR10543
  3. Brandt, H. [3] Zur Idealtheorie Dedekindscher Algebren, Comm. Math. Helv.2 (1930), 13—17. Zbl56.0144.03JFM56.0144.03
  4. Brauer, R. [4] On the Arithmetic in a Group Ring, Proc. Nat. Acad. Sci.30 (1944), 109—114, Zbl0061.03707
  5. Chevalley, C. [5] L'Arithmétique dans les Algèbres de Matrices, Act. Sci. Ind. no. 323, Paris, 1936. JFM62.0102.01
  6. Deuring, M. [6] Algebren. Ergebnisse der Math.4, Berlin, 1935, New York, 1948. JFM61.0118.01
  7. Fitting, H. [7] Primärkomponentenzerlegung in nichtkommutativen Ringen, Math. Ann.111 (1935), 19-41. Zbl0011.00701MR1512973JFM61.0114.02
  8. Hasse. H. [8] Über p-adische Schiefkörper und ihre Bedeutung für die Arithmetik hyperkomplexer Zahlsysteme, Math. Ann.104 (1931), 495—543. [9] Die Struktur der R. Brauerschen Algebrenklassengruppe über einem algebraischen Zahlkörper, Math. Ann.107 (1933), 731—760. Zbl0006.15201JFM59.0942.01
  9. Jacobson, N. [10] The Theory of Rings, Amer. Math. Soc. SurveysII, 1943. Zbl0060.07302
  10. Van Der Waerden, B.L. [11] Moderne Algebra, 2nd ed. Berlin1937, 1940. Zbl0022.29801JFM66.0034.01

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