A Note on Posner s Theorem with Generalized Derivations on Lie Ideals

Vincenzo De Filippis; M. S. Tammam El-Sayiad

Rendiconti del Seminario Matematico della Università di Padova (2009)

  • Volume: 122, page 55-64
  • ISSN: 0041-8994

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De Filippis, Vincenzo, and 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 122 (2009): 55-64. <http://eudml.org/doc/108776>.

@article{DeFilippis2009,
author = {De Filippis, Vincenzo, Tammam El-Sayiad, M. S.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {prime rings; Utumi quotient rings; extended centroids; generalized derivations; Lie ideals; standard identities},
language = {eng},
pages = {55-64},
publisher = {Seminario Matematico of the University of Padua},
title = {A Note on Posner s Theorem with Generalized Derivations on Lie Ideals},
url = {http://eudml.org/doc/108776},
volume = {122},
year = {2009},
}

TY - JOUR
AU - De Filippis, Vincenzo
AU - Tammam El-Sayiad, M. S.
TI - A Note on Posner s Theorem with Generalized Derivations on Lie Ideals
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2009
PB - Seminario Matematico of the University of Padua
VL - 122
SP - 55
EP - 64
LA - eng
KW - prime rings; Utumi quotient rings; extended centroids; generalized derivations; Lie ideals; standard identities
UR - http://eudml.org/doc/108776
ER -

References

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  2. [2] K. I. BEIDAR - W. S. MARTINDALE III - V. MIKHALEV, Rings with generalized identities, Pure and Applied Math. (Dekker, New York 1996). Zbl0847.16001MR1368853
  3. [3] H. CHENG, Some results about derivations of prime rings, J. Math. Res. Expo., 25, n. 4 (2005), pp. 625-633. Zbl1091.16021MR2184235
  4. [4] C. L. CHUANG, GPI's having coefficients in Utumi quotient rings, Proc. Amer. Math. Soc., vol. 103, n. 3 (1988), pp. 723-728. Zbl0656.16006MR947646
  5. [5] O. M. DI VINCENZO, On the n-th centralizer of a Lie ideal, Boll. UMI (7)3-A (1989), pp. 77-85. Zbl0692.16022MR990089
  6. [6] T. S. ERICKSON - W. S. MARTINDALE III - J. M. OSBORN, Prime nonassociative algebras, Pacific J. Math., 60 (1975), pp. 49-63. Zbl0355.17005MR382379
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  8. [8] I. N. HERSTEIN, Topics in ring theory, Univ. of Chicago Press, 1969. Zbl0232.16001MR271135
  9. [9] N. JACOBSON, PI-Algebras, Lecture Notes in Math., vol. 441 (Springer Verlag, New York, 1975). Zbl0326.16013MR369421
  10. [10] N. JACOBSON, Structure of rings, Amer. Math. Soc., Providence, RI, 1964. Zbl0073.02002
  11. [11] V. K. KHARCHENKO, Differential identities of prime rings, Algebra and Logic, 17 (1978), pp. 155-168. Zbl0423.16011MR541758
  12. [12] T. K. LEE, Generalized derivations of left faithful rings, Comm. Algebra, 27, n. 8 (1999), pp. 4057-4073. Zbl0946.16026MR1700189
  13. [13] T. K. LEE, Semiprime rings with differential identities, Bull. Inst. Acad. Sinica, 20, n. 1 (1992), pp. 27-38. Zbl0769.16017MR1166215
  14. [14] W. S. MARTINDALE III, Prime rings satisfying a generalized polynomial identity, J. Algebra, 12 (1969), pp. 576-584. Zbl0175.03102MR238897
  15. [15] E. C. POSNER, Derivations in prime rings, Proc. Amer. Math. Soc., 8 (1975), pp. 1093-1100. Zbl0082.03003MR95863
  16. [16] T. L. WONG, Derivations with power-central values on multilinear polynomials, Algebra Coll. (4), 3 (1996), pp. 369-378. Zbl0864.16031MR1422975

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