Structure theory of simple rings without finiteness assumptions
Author:
N. Jacobson
Journal:
Trans. Amer. Math. Soc. 57 (1945), 228-245
MSC:
Primary 09.1X
DOI:
https://doi.org/10.1090/S0002-9947-1945-0011680-8
MathSciNet review:
0011680
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References | Similar Articles | Additional Information
- [1] B. H. Arnold, Rings of operators on vector spaces, Ann. of Math. (2) 45 (1944), 24–49. MR 9425, https://doi.org/10.2307/1969075
- [1] Emil Artin and George Whaples, The theory of simple rings, Amer. J. Math. 65 (1943), 87–107. MR 7391, https://doi.org/10.2307/2371775
- [1] Hans Fitting, Primärkomponentenzerlegung in nichtkommutativen Ringen, Math. Ann. 111 (1935), no. 1, 19–40 (German). MR 1512973, https://doi.org/10.1007/BF01472198
- [1] Nathan Jacobson, The Theory of Rings, American Mathematical Society Mathematical Surveys, vol. II, American Mathematical Society, New York, 1943. MR 0008601
- [2] N. Jacobson, A note on non-associative algebras, Duke Math. J. 3 (1937), no. 3, 544–548. MR 1546009, https://doi.org/10.1215/S0012-7094-37-00343-0
- [3] N. Jacobson, Pseudo-linear transformations, Ann. of Math. (2) 38 (1937), no. 2, 484–507. MR 1503347, https://doi.org/10.2307/1968565
- [1] Emmy Noether, Nichtkommutative Algebra, Math. Z. 37 (1933), no. 1, 514–541 (German). MR 1545411, https://doi.org/10.1007/BF01474591
- [1] O. Ore Formale Theorie lineare Differentialgleichungen. II. Journal für Mathematik vol. 168 (1932) pp. 233-252.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1945-0011680-8
Article copyright:
© Copyright 1945
American Mathematical Society