Right Sided Ideals and Multilinear Polynomials with Derivation on Prime Rings
Rendiconti del Seminario Matematico della Università di Padova, Tome 121 (2009), pp. 243-257 
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     author = {Dhara, Basudeb and Sharma, R. K.},
     title = {Right {Sided} {Ideals} and {Multilinear} {Polynomials} with {Derivation} on {Prime} {Rings}},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {243--257},
     year = {2009},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {121},
     mrnumber = {2542145},
     language = {en},
     url = {https://www.numdam.org/item/RSMUP_2009__121__243_0/}
}
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Dhara, Basudeb; Sharma, R. K. Right Sided Ideals and Multilinear Polynomials with Derivation on Prime Rings. Rendiconti del Seminario Matematico della Università di Padova, Tome 121 (2009), pp. 243-257. https://www.numdam.org/item/RSMUP_2009__121__243_0/

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

[2] M. Bresïar, One-sided ideals and derivations of prime rings, Proc. Amer. Math. Soc., 122 (4) (1994), pp. 979-983. | Zbl | MR

[3] C. M. Chang, Power central values of derivations on multilinear polynomials, Taiwanese J. Math., 7 (2) (2003), pp. 329-338. | Zbl | MR

[4] C. L. Chuang, GPIs having coefficients in Utumi quotient rings, Proc. Amer. Math. Soc., 103 (3) (1988), pp. 723-728. | Zbl | MR

[5] C. L. Chuang - T. K. Lee, Rings with annihilator conditions on multilinear polynomials, Chinese J. Math., 24 (2) (1996), pp. 177-185. | Zbl | MR

[6] B. Felzenszwalb, On a result of Levitzki, Canad. Math. Bull., 21 (1978), pp. 241-242. | Zbl | MR

[7] V. De Filippis - O. M. Di Vincenzo, Posner's second theorem, multilinear polynomials and vanishing derivations, J. Aust. Math. Soc., 76 (2004), pp. 357-368. | Zbl | MR

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

[9] C. Lanski, An Engel condition with derivation, Proc. Amer. Math. Soc., 118 (3) (1993), pp. 731-734. | Zbl | MR

[10] C. Lanski, Differential identities, Lie ideals, and Posner's theorems, Pacific J. Math., 134 (2) (1988), pp. 275-297. | Zbl | MR

[11] P. H. Lee - T. K. Lee, Derivations with engel conditions on multilinear polynomials, Proc. Amer. Math. Soc., 124 (9) (1996), pp. 2625-2629. | Zbl | MR

[12] T. K. Lee, Power reduction property for generalized identities of one sided ideals, Algebra Colloquium, 3 (1996), pp. 19-24. | Zbl | MR

[13] T. K. Lee, Left annihilators characterized by GPIs, Trans. Amer. Math. Soc., 347 (1995), pp. 3159-3165. | Zbl | MR

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

[15] U. Leron, Nil and power central valued polynomials in rings, Trans. Amer. Math. Soc., 202 (1975), pp. 97-103. | Zbl | MR

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

[17] E. C. Posner, Derivation in prime rings, Proc. Amer. Math. Soc., 8 (1957), pp. 1093-1100. | Zbl | MR