An extension of the Jacobson radical

An extension of the Jacobson radical
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by Bailey Brown

Proc. Amer. Math. Soc. 2 (1951), 114-117

DOI: https://doi.org/10.1090/S0002-9939-1951-0040286-8

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References

R. A. Good, On the theory of clusters, Trans. Amer. Math. Soc. 63 (1948), 482–513. MR 24895, DOI 10.1090/S0002-9947-1948-0024895-2
N. Jacobson, The radical and semi-simplicity for arbitrary rings, Amer. J. Math. 67 (1945), 300–320. MR 12271, DOI 10.2307/2371731
Nathan Jacobson, The Theory of Rings, American Mathematical Society Mathematical Surveys, Vol. II, American Mathematical Society, New York, 1943. MR 0008601
Bailey Brown and Neal H. McCoy, Radicals and subdirect sums, Amer. J. Math. 69 (1947), 46–58. MR 19594, DOI 10.2307/2371653
Bailey Brown and Neal H. McCoy, Some theorems on groups with applications to ring theory, Trans. Amer. Math. Soc. 69 (1950), 302–311. MR 38952, DOI 10.1090/S0002-9947-1950-0038952-7
Malcolm F. Smiley, Application of a radical of Brown and McCoy to non-associative rings, Amer. J. Math. 72 (1950), 93–100. MR 32591, DOI 10.2307/2372136