Submodules of rings
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- by Carl C. Faith PDF
- Proc. Amer. Math. Soc. 10 (1959), 596-606 Request permission
References
- S. A. Amitsur, Invariant submodules of simple rings, Proc. Amer. Math. Soc. 7 (1956), 987–989. MR 82482, DOI 10.1090/S0002-9939-1956-0082482-4
- Carl C. Faith, On conjugates in division rings, Canadian J. Math. 10 (1958), 374–380. MR 114831, DOI 10.4153/CJM-1958-036-7
- Akira Hattori, On the multiplicative group of simple algebras and orthogonal groups of three dimensions, J. Math. Soc. Japan 4 (1952), 205–217. MR 53116, DOI 10.2969/jmsj/00430205
- Nathan Jacobson, Structure of rings, American Mathematical Society Colloquium Publications, Vol. 37, American Mathematical Society, 190 Hope Street, Providence, R.I., 1956. MR 0081264
- Alex Rosenberg, The Cartan-Brauer-Hua theorem for matrix and local matrix rings, Proc. Amer. Math. Soc. 7 (1956), 891–898. MR 81889, DOI 10.1090/S0002-9939-1956-0081889-9
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- Daniel Zelinsky, Every linear transformation is a sum of nonsingular ones, Proc. Amer. Math. Soc. 5 (1954), 627–630. MR 62728, DOI 10.1090/S0002-9939-1954-0062728-7
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 596-606
- MSC: Primary 16.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0108521-2
- MathSciNet review: 0108521