Lie simplicity of a special class of associative rings
Author:
Willard E. Baxter
Journal:
Proc. Amer. Math. Soc. 7 (1956), 855863
MSC:
Primary 09.3X
MathSciNet review:
0082481
Fulltext PDF Free Access
References 
Similar Articles 
Additional Information
 [1]
Akira
Hattori, On invariant subrings, Jap. J. Math.
21 (1951), 121–129 (1952). MR 0051818
(14,529g)
 [2]
I.
N. Herstein, On the Lie and Jordan rings of a simple associative
ring, Amer. J. Math. 77 (1955), 279–285. MR 0067871
(16,789e)
 [3]
I.
N. Herstein, On the Lie ring of a division ring, Ann. of Math.
(2) 60 (1954), 571–575. MR 0064028
(16,214b)
 [4]
I.
N. Herstein, The Lie ring of a simple associative ring, Duke
Math. J. 22 (1955), 471–476. MR 0074394
(17,577d)
 [5]
N.
Jacobson, Structure theory for algebraic algebras of bounded
degree, Ann. of Math. (2) 46 (1945), 695–707.
MR
0014083 (7,238c)
 [6]
J.
Levitzki, On a problem of A. Kurosch,
Bull. Amer. Math. Soc. 52 (1946), 1033–1035. MR 0019600
(8,435a), http://dx.doi.org/10.1090/S000299041946087054
 [1]
 A. Hattori, On invariant subrings, Jap. J. Math. vol. 21 (1951) pp. 121129. MR 0051818 (14:529g)
 [2]
 I. N. Herstein, On the Lie and Jordan rings of a simple associative ring, Amer. J. Math. vol. 77 (1955) pp. 393403. MR 0067871 (16:789e)
 [3]
 , On the Lie ring of a division ring, Ann. of Math. vol. 60 (1954) pp. 571575. MR 0064028 (16:214b)
 [4]
 , On the Lie ring of a simple associative ring, Duke Math. J. vol. 22 (1955) pp. 471476. MR 0074394 (17:577d)
 [5]
 N. Jacobson, Structure theory for algebraic algebras of bounded degree, Ann. of Math. vol. 46 (1945) pp. 695707. MR 0014083 (7:238c)
 [6]
 J. Levitzki, A problem of A. Kurosch, Bull. Amer. Math. Soc. vol. 52 (1946) pp. 10331035. MR 0019600 (8:435a)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939195600824812
PII:
S 00029939(1956)00824812
Article copyright:
© Copyright 1956
American Mathematical Society
