A Note on Derivations of Group Rings
1995 ◽
Vol 38
(4)
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pp. 434-437
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AbstractLetRGdenote the group ring of a groupGover a semiprime ringR. We prove that, if the center ofGis of finite index and some natural restrictions hold, then everyR-derivation ofRGis inner. We also give an example of a groupGwhich is both locally finite and nilpotent and such that, for every fieldF, there exists anF-derivation ofFGwhich is not inner.
2000 ◽
Vol 43
(1)
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pp. 60-62
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2014 ◽
Vol 24
(02)
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pp. 233-249
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1984 ◽
Vol 25
(1)
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pp. 37-44
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1970 ◽
Vol 22
(2)
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pp. 249-254
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1998 ◽
Vol 41
(4)
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pp. 481-487
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1974 ◽
Vol 17
(2)
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pp. 201-202
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2016 ◽
Vol 16
(07)
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pp. 1750135
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