On the generalized hypercentralizer of a Lie ideal in a prime ring
Rendiconti del Seminario Matematico della Università di Padova, Tome 100 (1998), pp. 283-295. 
@article{RSMUP_1998__100__283_0,
     author = {De Filippis, V. and Di Vincenzo, O. M.},
     title = {On the generalized hypercentralizer of a {Lie} ideal in a prime ring},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {283--295},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {100},
     year = {1998},
     mrnumber = {1675291},
     zbl = {0921.16011},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1998__100__283_0/}
}
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De Filippis, V.; Di Vincenzo, O. M. On the generalized hypercentralizer of a Lie ideal in a prime ring. Rendiconti del Seminario Matematico della Università di Padova, Tome 100 (1998), pp. 283-295. http://archive.numdam.org/item/RSMUP_1998__100__283_0/

[1] L. Carini, Centralizers and Lie ideals, Rend. Sem. Mat. Univ. Padova, 78 (1987), pp. 255-259. | Numdam | MR | Zbl

[2] C.L. Chuang - J.S. Lin, On a conjecture by Herstein, J. Algebra, 126 (1989), pp. 119-138. | MR | Zbl

[3] C.L. Chuang - J.S. Lin, Rings with nil and power central k-th commutators, Rend. Circ. Mat. Palermo Serie II, XLI (1992), pp. 62-68. | MR | Zbl

[4] O.M. Di Vincenzo, On the n-th centralizer of a Lie ideal, Boll. Un. Mat. Ital. (7), 3-A (1989), pp. 77-85. | MR | Zbl

[5] O.M. Di Vincenzo - A. Valenti, On n-th commutators with nilpotent or regular values in rings, Rend. Circ. Mat. Palermo Serie II, XL (1991), pp. 453-464. | MR | Zbl

[6] B. Felzenszwalb - A. GIAMBRUNO, Centralizers and multilinear polynomials in noncommutative rings, J. London Math. Soc. (2), 19 (1979), pp. 417-428. | MR | Zbl

[7] I.N. Herstein, Topics in Ring Theory, Univ. of Chicago Press, Chicago (1969). | MR | Zbl

[8] I.N. Herstein, On the hypercenter of a ring, J. Algebra, 36 (1975), pp. 151-157. | MR | Zbl

[9] N. Jacobson, P.I. Algebras, an Introduction, Lecture Notes in Mathematics, no. 441, Springer-Verlag, Berlin, New York (1975). | MR | Zbl

[10] C. Lanski - S. Montgomery, Lie structure of prime rings of characteristic 2, Pacific J. Math., 42, n. 1 (1972), pp. 117-135. | MR | Zbl

[11] L.M. Rowen, General polynomial identities II, J. Algebra, 38 (1976), pp. 380-392. | MR | Zbl