Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings
2014 ◽
Vol 2014
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pp. 1-8
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Keyword(s):
LetRbe a 2-torsion free ring and letLbe a noncentral Lie ideal ofR, and letF:R→RandG:R→Rbe two generalized derivations ofR. We will analyse the structure ofRin the following cases: (a)Ris prime andF(um)=G(un)for allu∈Land fixed positive integersm≠n; (b)Ris prime andF((upvq)m)=G((vrus)n)for allu,v∈Land fixed integersm,n,p,q,r,s≥1; (c)Ris semiprime andF((uv)n)=G((vu)n)for allu,v∈[R,R]and fixed integern≥1; and (d)Ris semiprime andF((uv)n)=G((vu)n)for allu,v∈Rand fixed integern≥1.
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2013 ◽
Vol 86
(1-2)
◽
pp. 65-79
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2016 ◽
Vol 34
◽
pp. 27-33
2021 ◽
Vol 39
(4)
◽
pp. 131-141
Keyword(s):
1997 ◽
Vol 20
(2)
◽
pp. 409-411
Keyword(s):
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