An extension of the Jacobson radical

Author:
Bailey Brown

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

MSC:
Primary 09.1X

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

MathSciNet review:
0040286

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References | Similar Articles | Additional Information

**[1]**R. A. Good,*On the theory of clusters*, Trans. Amer. Math. Soc. vol. 63 (1948) pp. 482-513. MR**0024895 (9:565a)****[2]**N. Jacobson,*The radical and semi-simplicity for arbitrary rings*, Amer. J. Math. vol. 67 (1945) pp. 300-320. MR**0012271 (7:2f)****[3]**-,*The theory of rings*, Mathematical Surveys, no. 2, New York, 1943. MR**0008601 (5:31f)****[4]**B. Brown and N. H. McCoy,*Radicals and subdirect sums*, Amer. J. Math. vol. 69 (1947) pp. 46-58. MR**0019594 (8:433d)****[5]**-,*Some theorems on groups with applications to ring theory*, Trans. Amer. Math. Soc. vol. 69(1950) pp. 302-311. MR**0038952 (12:474b)****[6]**M. F. Smiley,*Application of a radical of Brown and McCoy to non-associative rings*, Amer. J. Math. vol. 72 (1950) pp. 93-100. MR**0032591 (11:311d)**

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

Article copyright:
© Copyright 1951
American Mathematical Society