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Hereditary orders
Author:
Manabu Harada
Journal:
Trans. Amer. Math. Soc. 107 (1963), 273-290
MSC:
Primary 16.40
MathSciNet review:
0151489
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References |
Similar Articles |
Additional Information
- [1]
E. Artin, Zur Arithmetik hyperkomplexer Zahlen, Abh. Math. Sem. Univ. Hamburg 5 (1928), 261-289.
- [2]
K. Asano, Theory of rings and ideals, Tokyo, 1949.
- [2']
K.
Asano, Arithmetische Idealtheorie in nichtkommutativen Ringen,
Jap. J. Math. 16 (1939), 1–36 (French). MR 0000601
(1,100d)
- [3]
Maurice
Auslander and Oscar
Goldman, Maximal orders, Trans. Amer. Math. Soc. 97 (1960), 1–24. MR 0117252
(22 #8034), http://dx.doi.org/10.1090/S0002-9947-1960-0117252-7
- [4]
Maurice
Auslander and Oscar
Goldman, The Brauer group of a commutative
ring, Trans. Amer. Math. Soc. 97 (1960), 367–409. MR 0121392
(22 #12130), http://dx.doi.org/10.1090/S0002-9947-1960-0121392-6
- [5]
Henri
Cartan and Samuel
Eilenberg, Homological algebra, Princeton Landmarks in
Mathematics, Princeton University Press, Princeton, NJ, 1999. With an
appendix by David A. Buchsbaum; Reprint of the 1956 original. MR 1731415
(2000h:18022)
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Max
Deuring, Algebren, Zweite, korrigierte auflage. Ergebnisse der
Mathematik und ihrer Grenzgebiete, Band 41, Springer-Verlag, Berlin, 1968
(German). MR
0228526 (37 #4106)
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Samuel
Eilenberg, Homological dimension and syzygies, Ann. of Math.
(2) 64 (1956), 328–336. MR 0082489
(18,558c)
- [8]
Manabu
Harada, Note on raising idempotents, J. Inst. Polytech. Osaka
City Univ. Ser. A 10 (1959), 63–65. MR 0116035
(22 #6830)
- [9]
-, Hereditary orders in quaternions, J. Inst. Polytech. Osaka City Univ., (to appear).
- [10]
K. Henke, Zur arithmetischen Idealtheorie hyperkomplexer Zahlen, Abh. Math. Sem. Univ. Hamburg 11 (1935), 311-332.
- [11]
P. Samuel and O. Zarisky, Commutative algebra. II, Princeton, N. J., 1960.
- [1]
- E. Artin, Zur Arithmetik hyperkomplexer Zahlen, Abh. Math. Sem. Univ. Hamburg 5 (1928), 261-289.
- [2]
- K. Asano, Theory of rings and ideals, Tokyo, 1949.
- [2']
- -, Arithmetische Idealtheorie in nicht kommutative Ringen, Japan. J. Math. 16 (1939), 1-36. MR 0000601 (1:100d)
- [3]
- M. Auslander and O. Goldman, Maximal orders, Trans. Amer. Math. Soc.97 (1960), 1-24. MR 0117252 (22:8034)
- [4]
- -, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367-409. MR 0121392 (22:12130)
- [5]
- H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press, Princeton, N.J., 1957. MR 1731415 (2000h:18022)
- [6]
- M. Deuring, Algebren, Springer, Berlin, 1935. MR 0228526 (37:4106)
- [7]
- S. Eilenberg, Homological dimension and syzygies, Ann. of Math. (2) 64 (1956), 328-336. MR 0082489 (18:558c)
- [8]
- M. Harada, Note on raising idempotents, J. Inst. Polytech. Osaka City Univ. Ser. A 10 (1959), 63-65. MR 0116035 (22:6830)
- [9]
- -, Hereditary orders in quaternions, J. Inst. Polytech. Osaka City Univ., (to appear).
- [10]
- K. Henke, Zur arithmetischen Idealtheorie hyperkomplexer Zahlen, Abh. Math. Sem. Univ. Hamburg 11 (1935), 311-332.
- [11]
- P. Samuel and O. Zarisky, Commutative algebra. II, Princeton, N. J., 1960.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1963-0151489-9
PII:
S 0002-9947(1963)0151489-9
Article copyright:
© Copyright 1963 American Mathematical Society
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