FINITE HIGHER COMMUTATORS IN ASSOCIATIVE RINGS
2013 ◽
Vol 89
(3)
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pp. 503-509
Keyword(s):
AbstractIf $T$ is any finite higher commutator in an associative ring $R$, for example, $T= [[R, R] , [R, R] ] $, and if $T$ has minimal cardinality so that the ideal generated by $T$ is infinite, then $T$ is in the centre of $R$ and ${T}^{2} = 0$. Also, if $T$ is any finite, higher commutator containing no nonzero nilpotent element then $T$ generates a finite ideal.
2019 ◽
Vol 18
(07)
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pp. 1950131
1980 ◽
Vol 23
(3)
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pp. 299-303
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1985 ◽
Vol 32
(3)
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pp. 357-360
1953 ◽
Vol 49
(4)
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pp. 590-594
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1978 ◽
Vol 25
(3)
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pp. 322-327
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1996 ◽
Vol 54
(1)
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pp. 41-54
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1967 ◽
Vol 7
(3)
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pp. 311-322
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Keyword(s):
2013 ◽
Vol 12
(08)
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pp. 1350051
1970 ◽
Vol 22
(6)
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pp. 1097-1100
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