A Note on Posner s Theorem with Generalized Derivations on Lie Ideals
De Filippis, Vincenzo ; Tammam El-Sayiad, M. S.
Rendiconti del Seminario Matematico della Università di Padova, Tome 122 (2009), p. 55-64 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 2009-01-01
@article{RSMUP_2009__122__55_0,
     author = {De Filippis, Vincenzo and Tammam El-Sayiad, M. S.},
     title = {A Note on Posner s Theorem with Generalized Derivations on Lie Ideals},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {122},
     year = {2009},
     pages = {55-64},
     mrnumber = {2582830},
     zbl = {1183.16035},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2009__122__55_0}
}

De Filippis, Vincenzo; Tammam El-Sayiad, M. S. A Note on Posner s Theorem with Generalized Derivations on Lie Ideals. Rendiconti del Seminario Matematico della Università di Padova, Tome 122 (2009) pp. 55-64. http://gdmltest.u-ga.fr/item/RSMUP_2009__122__55_0/

[1] K. I. Beidar, Rings with generalized identities, Moscow Univ. Math. Bull., 33, n. 4 (1978), pp. 53-58. | Zbl 0407.16002

[2] K. I. Beidar - W. S. Martindale Iii - V. Mikhalev, Rings with generalized identities, Pure and Applied Math. (Dekker, New York 1996). | MR 1368853 | Zbl 0847.16001

[3] H. Cheng, Some results about derivations of prime rings, J. Math. Res. Expo., 25, n. 4 (2005), pp. 625-633. | MR 2184235 | Zbl 1091.16021

[4] C. L. Chuang, GPI's having coefficients in Utumi quotient rings, Proc. Amer. Math. Soc., vol. 103, n. 3 (1988), pp. 723-728. | MR 947646 | Zbl 0656.16006

[5] O. M. Di Vincenzo, On the n-th centralizer of a Lie ideal, Boll. UMI (7)3-A (1989), pp. 77-85. | MR 990089 | Zbl 0692.16022

[6] T. S. Erickson - W. S. Martindale Iii - J. M. Osborn, Prime nonassociative algebras, Pacific J. Math., 60 (1975), pp. 49-63. | MR 382379 | Zbl 0355.17005

[7] C. Faith - Y. Utumi, On a new proof of Litoff's theorem, Acta Math. Acad. Sci. Hung., 14 (1963), pp. 369-371. | MR 155858 | Zbl 0147.28602

[8] I. N. Herstein, Topics in ring theory, Univ. of Chicago Press, 1969. | MR 271135 | Zbl 0232.16001

[9] N. Jacobson, PI-Algebras, Lecture Notes in Math., vol. 441 (Springer Verlag, New York, 1975). | MR 369421 | Zbl 0326.16013

[10] N. Jacobson, Structure of rings, Amer. Math. Soc., Providence, RI, 1964. | Zbl 0073.02002

[11] V. K. Kharchenko, Differential identities of prime rings, Algebra and Logic, 17 (1978), pp. 155-168. | MR 541758 | Zbl 0423.16011

[12] T. K. Lee, Generalized derivations of left faithful rings, Comm. Algebra, 27, n. 8 (1999), pp. 4057-4073. | MR 1700189 | Zbl 0946.16026

[13] T. K. Lee, Semiprime rings with differential identities, Bull. Inst. Acad. Sinica, 20, n. 1 (1992), pp. 27-38. | MR 1166215 | Zbl 0769.16017

[14] W. S. Martindale Iii, Prime rings satisfying a generalized polynomial identity, J. Algebra, 12 (1969), pp. 576-584. | MR 238897 | Zbl 0175.03102

[15] E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc., 8 (1975), pp. 1093-1100. | MR 95863 | Zbl 0082.03003

[16] T. L. Wong, Derivations with power-central values on multilinear polynomials, Algebra Coll. (4), 3 (1996), pp. 369-378. | MR 1422975 | Zbl 0864.16031