Proceedings of the Japan Academy

On generating elements of simple rings

Hisao Tominaga and Friedrich Kasch

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 33, Number 4 (1957), 187-189.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195525090

Digital Object Identifier
doi:10.3792/pja/1195525090

Mathematical Reviews number (MathSciNet)
MR0089185

Zentralblatt MATH identifier
0216.06602

Subjects
Primary: 09.3X

Citation

Tominaga, Hisao; Kasch, Friedrich. On generating elements of simple rings. Proc. Japan Acad. 33 (1957), no. 4, 187--189. doi:10.3792/pja/1195525090. https://projecteuclid.org/euclid.pja/1195525090


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References

  • [1] A. A. Albert: Two elements generation of a separable algebra, Bull. Amer. Math. Soc, 50, 786-788 (1.944).
  • [2] F. Kasch: "Ober den Satz vom primitiven Element bei Schiefkorper, J. f. reine u. angew. Math., 180, 150-159 (1951).
  • [3] F. Kasch: Zur Erzeugung separabler Algebren, Norsk Mat. Tidsskr., 34, 97-99 (1952).
  • [4] F. Kasch: "Ober den Endomorphismenring eines Vektorraumes und den Satz von der Normalbasis, Math. Ann., 126, 447-463 (1953).
  • [5] T. Nagahara: On generating elements of Galois extensions of division rings, Math. J. Okayama Univ. (to appear).
  • [6] H. Tominaga: Galois theory of simple rings, Math. J. Okayama Univ., 6, 29-48 (1956).
  • [7] H. Tominaga: Galois theory of simple rings II, Math. J. Okayama Univ. (to appear).