Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A generalization of the Wedderburn-Malcev theorem to infinite dimensional algebras
HTML articles powered by AMS MathViewer

by Robert B. Reisel PDF
Proc. Amer. Math. Soc. 7 (1956), 493-499 Request permission
References
  • A. Adrian Albert, Structure of algebras, American Mathematical Society Colloquium Publications, Vol. XXIV, American Mathematical Society, Providence, R.I., 1961. Revised printing. MR 0123587
  • N. Bourbaki, Topologie générale, Chapitre I, Structures topologiques, Chapitre II, Structures uniformes, Actualités Scientiques et Industrielles, no. 1142, Paris, 1951.
  • Charles W. Curtis, The structure of non-semisimple algebras, Duke Math. J. 21 (1954), 79–85. MR 61095
  • N. Jacobson, The radical and semi-simplicity for arbitrary rings, Amer. J. Math. 67 (1945), 300–320. MR 12271, DOI 10.2307/2371731
  • V. M. Kuročkin, The decomposition of algebras into a semi-direct sum of a radical and a semi-simple subalgebra, Moskov. Gos. Univ. Učenye Zapiski Matematika 148(4) (1951), 192–203 (Russian). MR 0049171
  • A. Malcev, On the representation of an algebra as a direct sum of the radical and a semi-simple subalgebra, C. R. (Doklady) Acad. Sci. URSS (N.S.) 36 (1942), 42–45. MR 0007397
  • A. Tihomirov, A generalization of Malcev’s theorem on cleft algebras, Bull. Acad. Sci. URSS. Sér. Math. [Izvestia Akad. Nauk SSSR] 11 (1947), 47–58 (Russian, with English summary). MR 0020549
  • Daniel Zelinsky, Raising idempotents, Duke Math. J. 21 (1954), 315–322. MR 62107
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 09.3X
  • Retrieve articles in all journals with MSC: 09.3X
Additional Information
  • © Copyright 1956 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 7 (1956), 493-499
  • MSC: Primary 09.3X
  • DOI: https://doi.org/10.1090/S0002-9939-1956-0078978-1
  • MathSciNet review: 0078978