On transposes of nilpotent matrices over arbitrary rings
1977 ◽
Vol 23
(3)
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pp. 366-370
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Keyword(s):
AbstractIt is shown that if every nilpotent 2 × 2 matrix over a ring has nilpotent transpose, then the commutator ideal must be contained in the Jacobson radical, thus generalizing a result of R. S. Gupta, who considered the division ring case. Moreover, if the nilpotent elements form an ideal or if the ring satisfies a polynomial identity, then the above property of the transpose implies that in fact the commutator ideal must be nil.
1970 ◽
Vol 2
(1)
◽
pp. 107-115
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1974 ◽
Vol 18
(4)
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pp. 470-473
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Keyword(s):
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1972 ◽
Vol 15
(1)
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pp. 137-138
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2007 ◽
Vol 2007
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pp. 1-5
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Keyword(s):
2010 ◽
Vol 53
(2)
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pp. 223-229
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1973 ◽
Vol 8
(2)
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pp. 181-185
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1973 ◽
Vol 16
(3)
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pp. 290-293
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1986 ◽
Vol 38
(2)
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pp. 376-386
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