Derivations and multilinear polynomials

O. M. Di Vincenzo

Rendiconti del Seminario Matematico della Università di Padova (1989)

  • Volume: 81, page 209-219
  • ISSN: 0041-8994

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Di Vincenzo, O. M.. "Derivations and multilinear polynomials." Rendiconti del Seminario Matematico della Università di Padova 81 (1989): 209-219. <http://eudml.org/doc/108137>.

@article{DiVincenzo1989,
author = {Di Vincenzo, O. M.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {prime ring; -radical; derivation; multilinear and homogeneous polynomial; centroid; standard polynomial identity; center; Lie ideals},
language = {eng},
pages = {209-219},
publisher = {Seminario Matematico of the University of Padua},
title = {Derivations and multilinear polynomials},
url = {http://eudml.org/doc/108137},
volume = {81},
year = {1989},
}

TY - JOUR
AU - Di Vincenzo, O. M.
TI - Derivations and multilinear polynomials
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1989
PB - Seminario Matematico of the University of Padua
VL - 81
SP - 209
EP - 219
LA - eng
KW - prime ring; -radical; derivation; multilinear and homogeneous polynomial; centroid; standard polynomial identity; center; Lie ideals
UR - http://eudml.org/doc/108137
ER -

References

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  1. [1] J. Bergen - A. GIAMBRUNO, f-radical extensions of rings, Rend. Sem. Mat. Univ. Padova, 77 (1987), pp. 125-133. Zbl0623.16008MR904615
  2. [2] J. Bergen - I.N. Herstein - J.W. Kerr, Lie ideals and derivations of prime rings, J. Algebra, 71 (1981), pp. 259-267. Zbl0463.16023MR627439
  3. [3] L. Carini, Centralizers and Lie ideals, Rend. Sem. Mat. Univ. Padova, 78 (1987), pp. 255-259. Zbl0637.16021MR934516
  4. [4] B. Felzenswalb - A. Giambruno, Centralizers and multilinear polynomials in non-commutative rings, J. London Math. Soc., 19 (1979), pp. 417-428. Zbl0397.16025MR540054
  5. [5] B. Felzenswalb - A. Giambruno, Periodic and nil potynomials in rings, Canad. Math. Bull., 23 (1980), pp. 473-476. Zbl0462.16007MR602605
  6. [6] B. Felzenswalb - A. Giambruno, A commutativity theorem for rings with derivations, Pacific J. Math., 102 (1982), pp. 41-45. Zbl0501.16032MR682042
  7. [7] A. Giambruno, Rings f-radicals over P.I. subrings, Rend. Mat., (1), 13, VI (1980), pp. 105-113. Zbl0452.16010MR590736
  8. [8] I.N. Herstein, Rings with Involution, Univ. Chicago Press, Chicago, 1976. Zbl0343.16011MR442017
  9. [9] I.N. Herstein, A theorem on invariant subrings, J. Algebra, 83 (1983), pp. 26-32. Zbl0514.16001MR710584
  10. [10] 1 N. Herstein - C. PROCESI - M. SCHACHER, Algebraic valued functions on non-commutative rings, J. Algebra, 36 (1975), pp. 128-150. Zbl0311.16017MR374185

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