Commutators in associative rings
1953 ◽
Vol 49
(4)
◽
pp. 590-594
◽
Let R be an arbitrary associative ring, and X a set of generators of R. The elements of X generate a Lie ring, [X], say, with respect to the addition and subtraction in R, and the multiplication [a, b] = ab − ba. In this note we shall be concerned with the following question: if [X] is given to be nilpotent as a Lie ring, what does this imply about R?
2019 ◽
Vol 18
(07)
◽
pp. 1950131
1985 ◽
Vol 32
(3)
◽
pp. 357-360
1978 ◽
Vol 25
(3)
◽
pp. 322-327
Keyword(s):
2013 ◽
Vol 89
(3)
◽
pp. 503-509
Keyword(s):
1955 ◽
Vol 22
(3)
◽
pp. 471-476
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2019 ◽
Vol 12
(2)
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pp. 622-648
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