Right Sided Ideals and Multilinear Polynomials with Derivation on Prime Rings

Basudeb Dhara; R. K. Sharma

Rendiconti del Seminario Matematico della Università di Padova (2009)

  • Volume: 121, page 243-257
  • ISSN: 0041-8994

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Dhara, Basudeb, and Sharma, R. K.. "Right Sided Ideals and Multilinear Polynomials with Derivation on Prime Rings." Rendiconti del Seminario Matematico della Università di Padova 121 (2009): 243-257. <http://eudml.org/doc/108760>.

@article{Dhara2009,
author = {Dhara, Basudeb, Sharma, R. K.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {prime rings; derivations; multilinear polynomials},
language = {eng},
pages = {243-257},
publisher = {Seminario Matematico of the University of Padua},
title = {Right Sided Ideals and Multilinear Polynomials with Derivation on Prime Rings},
url = {http://eudml.org/doc/108760},
volume = {121},
year = {2009},
}

TY - JOUR
AU - Dhara, Basudeb
AU - Sharma, R. K.
TI - Right Sided Ideals and Multilinear Polynomials with Derivation on Prime Rings
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2009
PB - Seminario Matematico of the University of Padua
VL - 121
SP - 243
EP - 257
LA - eng
KW - prime rings; derivations; multilinear polynomials
UR - http://eudml.org/doc/108760
ER -

References

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  2. [2] M. BRESÏAR, One-sided ideals and derivations of prime rings, Proc. Amer. Math. Soc., 122 (4) (1994), pp. 979-983. Zbl0820.16032MR1205483
  3. [3] C. M. CHANG, Power central values of derivations on multilinear polynomials, Taiwanese J. Math., 7 (2) (2003), pp. 329-338. Zbl1058.16032MR1978020
  4. [4] C. L. CHUANG, GPIs having coefficients in Utumi quotient rings, Proc. Amer. Math. Soc., 103 (3) (1988), pp. 723-728. Zbl0656.16006MR947646
  5. [5] C. L. CHUANG - T. K. LEE, Rings with annihilator conditions on multilinear polynomials, Chinese J. Math., 24 (2) (1996), pp. 177-185. Zbl0855.16029MR1401645
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  8. [8] V. K. KHARCHENKO, Differential identity of prime rings, Algebra and Logic., 17 (1978), pp. 155-168. Zbl0423.16011MR541758
  9. [9] C. LANSKI, An Engel condition with derivation, Proc. Amer. Math. Soc., 118 (3) (1993), pp. 731-734. Zbl0821.16037MR1132851
  10. [10] C. LANSKI, Differential identities, Lie ideals, and Posner's theorems, Pacific J. Math., 134 (2) (1988), pp. 275-297. Zbl0614.16028MR961236
  11. [11] P. H. LEE - T. K. LEE, Derivations with engel conditions on multilinear polynomials, Proc. Amer. Math. Soc., 124 (9) (1996), pp. 2625-2629. Zbl0859.16031MR1327023
  12. [12] T. K. LEE, Power reduction property for generalized identities of one sided ideals, Algebra Colloquium, 3 (1996), pp. 19-24. Zbl0845.16017MR1374157
  13. [13] T. K. LEE, Left annihilators characterized by GPIs, Trans. Amer. Math. Soc., 347 (1995), pp. 3159-3165. Zbl0845.16016MR1286000
  14. [14] T. K. LEE, Semiprime rings with differential identities, Bull. Inst. Math. Acad. Sinica, 20 (1) (1992), pp. 27-38. Zbl0769.16017MR1166215
  15. [15] U. LERON, Nil and power central valued polynomials in rings, Trans. Amer. Math. Soc., 202 (1975), pp. 97-103. Zbl0297.16010MR354764
  16. [16] W. S. MARTINDALE III, Prime rings satisfying a generalized polynomial identity, J. Algebra, 12 (1969), pp. 576-584. Zbl0175.03102MR238897
  17. [17] E. C. POSNER, Derivation in prime rings, Proc. Amer. Math. Soc., 8 (1957), pp. 1093-1100. Zbl0082.03003MR95863

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