Abstract
SianoR un anello primo di caratteristica differente da 2,d una derivazione non nulla diR, L un ideale di Lie non centrale diR, a ∈ R. Sea[d(u), u] = 0, per ogni scelta diu ∈ L, alloraa = 0.
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References
Bresar M.,A note on derivations, Math. J. Okayama Univ.,32 (1990), 83–88.
Bresar M., Vukman J.,On certain subrings of prime rings with derivations, J. Austral. Math. Soc., (Series A)54 (1993), 133–141.
Chuang C.L.,GPIs having coefficients in Utumi quotient rings, Proc. Amer. Mat. Soc.,103 (1988), 723–728.
Herstein I. N.,Topics in ring theory, Univ. of Chicago Press, Chicago, 1969.
Jacobson N.,Structure of rings, Amer. Math. Soc. Colloq. Pub.,37, Amer. Math. Soc. Providence, RI, 1964.
Kharchenko V. K.,Differential identities of prime rings, Algebra and Logic,17 (1978), 155–168.
Lanski C.,An Engel condition with derivation, Proc. Amer. Math. Soc.,118 (1993), 731–734.
Lee T. K., Lin J. S.,A result on derivations, Proc. Amer. Math. Soc.,124 (1996), 1687–1691.
Martindale W. S., III,Primerings satisfying a generalized polynomial identity, J. Algebra,12 (1969), 576–584.
Rowen L.,Polynomial identities in Ring Theory, Pure and Applied Math.,84, Academic Press, New York 1980.
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de Filippis, V. On the annihilator of commutators with derivation in prime rings. Rend. Circ. Mat. Palermo 49, 343–352 (2000). https://doi.org/10.1007/BF02904239
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DOI: https://doi.org/10.1007/BF02904239