Prime rings with hypercommuting derivations on a Lie ideal

V. De Filippis; O. M. Di Vincenzo

Rendiconti del Seminario Matematico della Università di Padova (1999)

  • Volume: 102, page 305-317
  • ISSN: 0041-8994

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De Filippis, V., and Di Vincenzo, O. M.. "Prime rings with hypercommuting derivations on a Lie ideal." Rendiconti del Seminario Matematico della Università di Padova 102 (1999): 305-317. <http://eudml.org/doc/108508>.

@article{DeFilippis1999,
author = {De Filippis, V., Di Vincenzo, O. M.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {generalized commutators; prime rings; derivations; Lie ideals; standard polynomial identities},
language = {eng},
pages = {305-317},
publisher = {Seminario Matematico of the University of Padua},
title = {Prime rings with hypercommuting derivations on a Lie ideal},
url = {http://eudml.org/doc/108508},
volume = {102},
year = {1999},
}

TY - JOUR
AU - De Filippis, V.
AU - Di Vincenzo, O. M.
TI - Prime rings with hypercommuting derivations on a Lie ideal
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1999
PB - Seminario Matematico of the University of Padua
VL - 102
SP - 305
EP - 317
LA - eng
KW - generalized commutators; prime rings; derivations; Lie ideals; standard polynomial identities
UR - http://eudml.org/doc/108508
ER -

References

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  5. [5] V. DeFILIPPIS - O. M. DI VINCENZO, On the generalized hypercentralizer of a Lie ideal in a prime ring, Rend. Sem. Mat. Univ. Padova, 100 (1998), pp. 283-295. Zbl0921.16011MR1675291
  6. [6] O.M. Di Vincenzo, On the n-th centralizer of a Lie ideal, Boll. UMI (7), 3-A (1989), pp. 77-85. Zbl0692.16022MR990089
  7. [7] O.M. Di Vincenzo, Derivations and multilinear polynomials, Rend. Sem. Mat. Univ. Padova, 81 (1989), pp. 209-219. Zbl0738.16016MR1020195
  8. [8] C. Faith, Lectures on Injective Modules and Quotient Rings, Lecture Notes in Mathematics, 49, Springer-Verlag, New York (1967). Zbl0162.05002MR227206
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  10. [10] I.N. Herstein, On the hypercenter of a ring, J. Algebra, 36 (1975), pp. 151-157. Zbl0313.16036MR371962
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  12. [12] N. Jacobson - P.I. Algebras, An Introduction, Lecture Notes in Mathematics, no. 44, Springer-Verlag, Berlin/New York (1975). Zbl0326.16013MR369421
  13. [13] V.K. Kharchenko, Differential identities of prime rings, Algebra and Logic, 17 (1978), pp. 155-168. Zbl0423.16011MR541758
  14. [14] V.K. Kharchenko, Differential identities of semiprime rings, Algebra and Logic, 18 (1979), pp. 86-119. Zbl0464.16027MR566776
  15. [15] J. Lambek, Lectures on Rings and Modules, BlaisdellWaltham, MA (1966). Zbl0143.26403MR206032
  16. [16] T.K. Lee, Semiprime rings with differential identities, Bull. Inst. Math. Acad. Sinica, 20, no. 1 (1992), pp. 27-38. Zbl0769.16017MR1166215

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