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Nagoya Mathematical Journal

On maximally central algebras

Gorô Azumaya
Source: Nagoya Math. J. Volume 2 (1951), 119-150.
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Primary Subjects: 09.1X
Full-text: Open access
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.nmj/1118764746
Mathematical Reviews number (MathSciNet): MR0040287
Zentralblatt MATH identifier: 0045.01103

References

[1] A. A- Albert, Structure of Algebras, New York (1939).
Mathematical Reviews (MathSciNet): MR0000595
[2] E. Artin, C. J. Nesbitt and R. M. Thrall, Rings with minimum condition, Michigan Press (1944).
Mathematical Reviews (MathSciNet): MR0010543
Zentralblatt MATH: 0060.07701
[3] G. Azumaya, On generalized semi-primary rings and Krull-Remak-Schmidt's theorem, Jap. Journ. Math. 19 (1948).
Mathematical Reviews (MathSciNet): MR0032607
Zentralblatt MATH: 0040.01103
[4] G. Azumaya, Galois theory for uni-serial rings, Journ. Math. Soc. Jap. 1 (1949).
Mathematical Reviews (MathSciNet): MR0033277
Zentralblatt MATH: 0040.15602
Digital Object Identifier: doi:10.2969/jmsj/00120130
Project Euclid: euclid.jmsj/1261735487
[5] G. Azumaya and T. Nakayama, On absolutely uni-serial algebras, Jap. Journ. Math. 19 (1948).
Mathematical Reviews (MathSciNet): MR0032605
Zentralblatt MATH: 0039.26304
[6] C. Chevalley, On the theory of local rings, Ann. Math 44 (1943).
Mathematical Reviews (MathSciNet): MR0009603
Zentralblatt MATH: 0060.06908
Digital Object Identifier: doi:10.2307/1969105
[7] I. S. Cohen, On the structure and ideal theory of complete local rings, Trans. Amer. Math. Soc. 59, (1946).
Mathematical Reviews (MathSciNet): MR0016094
Digital Object Identifier: doi:10.1090/S0002-9947-1946-0016094-3
[8] M. Deuring, Algebren, Ergeb. Math. 4 (1935).
[9] N. Jacobson, The radical and semi-simplicity for arbitrary rings, Amer. Journ. Math. 67 (1945).
Mathematical Reviews (MathSciNet): MR0012271
Zentralblatt MATH: 0060.07305
Digital Object Identifier: doi:10.2307/2371731
[10] A. MaIcev, On the representation of an algebra as a direct sum of the radical and a semi-simple algebra, C. R. URSS. 36 (1942).
Mathematical Reviews (MathSciNet): MR0007397
Zentralblatt MATH: 0060.08004
[11] M. Nagata, On the structure of complete local rings, Nagoya Math. Journ. 1 (1950).
Mathematical Reviews (MathSciNet): MR0041829
Zentralblatt MATH: 0039.26303
Project Euclid: euclid.nmj/1118764705
[12] T. Nakayama, Divisionsalgebren ber diskret bewerteten perfekten Korpern, Journ. rein, angew. Math. 178 (1937).
[13] E. Witt, Schiefkrper ber diskret bewerteten Korpern, Journ. rein, angew. Math. 176 (1936). Mathematical Institute, Nagoya University

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