Generalized Derivations with Power Central Values on Multilinear Polynomials on Right Ideals

Nurcan Argaç; Vincenzo De Filippis; H. G. Inceboz

Rendiconti del Seminario Matematico della Università di Padova (2008)

  • Volume: 120, page 59-71
  • ISSN: 0041-8994

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Argaç, Nurcan, De Filippis, Vincenzo, and Inceboz, H. G.. "Generalized Derivations with Power Central Values on Multilinear Polynomials on Right Ideals." Rendiconti del Seminario Matematico della Università di Padova 120 (2008): 59-71. <http://eudml.org/doc/108747>.

@article{Argaç2008,
author = {Argaç, Nurcan, De Filippis, Vincenzo, Inceboz, H. G.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {prime algebras; extended centroids; right Utumi quotient rings; generalized derivations; multilinear polynomials; central valued polynomials},
language = {eng},
pages = {59-71},
publisher = {Seminario Matematico of the University of Padua},
title = {Generalized Derivations with Power Central Values on Multilinear Polynomials on Right Ideals},
url = {http://eudml.org/doc/108747},
volume = {120},
year = {2008},
}

TY - JOUR
AU - Argaç, Nurcan
AU - De Filippis, Vincenzo
AU - Inceboz, H. G.
TI - Generalized Derivations with Power Central Values on Multilinear Polynomials on Right Ideals
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2008
PB - Seminario Matematico of the University of Padua
VL - 120
SP - 59
EP - 71
LA - eng
KW - prime algebras; extended centroids; right Utumi quotient rings; generalized derivations; multilinear polynomials; central valued polynomials
UR - http://eudml.org/doc/108747
ER -

References

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  1. [1] K.I. BEIDAR - W.S. MARTINDALE - V. MIKHALEV, Rings with generalized identities, Pure and Applied Math., Dekker, New York, 1996. Zbl0847.16001MR1368853
  2. [2] C.M. CHANG, Power central values of derivations on multilinear polynomials, Taiwanese J. Math. vol., 2 (2003), pp. 329-338. Zbl1058.16032MR1978020
  3. [3] C.M. CHANG - T.K. LEE, Annihilators of power values of derivations in prime rings, Comm. Algebra, 26 (7) (1998), pp. 2091-2113. Zbl0904.16014MR1626653
  4. [4] C. L. CHUANG, GPI's 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 poynomials, Chinese J. Math., 24 (2) (1996), pp. 177-185. Zbl0855.16029MR1401645
  6. [6] B. FELZENSZWALB, On a result of Levitzki, Canad. Math. Bull., 21 (1978), pp. 241-242. Zbl0395.16029MR491793
  7. [7] A. GIAMBRUNO - I.N. HERSTEIN, Derivations with nilpotent values, Rend. Circ. Mat. Palermo, 30 (1981), pp. 199-206. Zbl0482.16030MR651152
  8. [8] I.N. HERSTEIN, Derivations of prime rings having power central values, Algebraist's Homage, Contemp. Math. 13, AMS, Provident, Rhode Island (1982), pp. 163-171. Zbl0503.16002MR685947
  9. [9] I.N. HERSTEIN, Topics in Ring Theory, Univ. Chicago Press, Chicago, Illinois, 1969. Zbl0232.16001MR271135
  10. [10] B. HVALA, Generalized derivations in rings, Comm. Algebra, 26 (4) (1998), pp. 1147-1166. Zbl0899.16018MR1612208
  11. [11] N. JACOBSON, Structure of Rings, American Mathematical Society Colloquium Publications vol. 37, American Mathematical Society, Rhode Island, 1964. Zbl0073.02002
  12. [12] V.K. KHARCHENKO, Differential identities of prime rings, Algebra and Logic, 17 (1978), pp. 155-168. Zbl0423.16011MR541758
  13. [13] T.K. LEE, Generalized derivations of left faithful rings, Comm. Algebra, 27 (8) (1999), pp. 4057-4073. Zbl0946.16026MR1700189
  14. [14] T.K. LEE, Left annihilators characterized by GPIs, Trans. Amer. Math. Soc., 347 (1995), pp. 3159-3165. Zbl0845.16016MR1286000
  15. [15] T.K. LEE, Power reduction property for generalized identities of one-sided ideals, Algebra Colloq., 3 (1996), pp. 19-24. Zbl0845.16017MR1374157
  16. [16] T.K. LEE, Semiprime rings with differential identities, Bull. Inst. Math. Acad. Sinica, 20 (1) (1992), pp. 27-38. Zbl0769.16017MR1166215
  17. [17] T.K. LEE - W.K. SHIUE, Identities with generalized derivations, Comm. Algebra, 29 (10) (2001), pp. 4435-4450. Zbl0992.16018MR1854144
  18. [18] T.K. LEE - T.L. WONG, Derivations centralizing Lie ideals, Bull. Inst. Math. Acad. Sinica, 23 (1995), pp. 1-5. Zbl0827.16025MR1319474
  19. [19] W.S. MARTINDALE III, Prime rings satisfying a generalized polynomial identity, J. Algebra, 12 (1969), pp. 576-584. Zbl0175.03102MR238897
  20. [20] E.C. POSNER, Derivations in prime rings, Proc.Amer. Math. Soc., 8 (1957), pp. 1093-1100. Zbl0082.03003MR95863
  21. [21] Y. WANG, Generalized derivations with power central values on multilinear polynomials, Algebra Colloq., 13 (3) (2006), pp. 405-410. Zbl1096.16015MR2233098
  22. [22] W. WEI, Generalized derivations with nilpotent values on semiprime rings, Acta Math. Sinica, 20 (3) (2004), pp. 453-462. Zbl1064.16036MR2084708
  23. [23] T.L. WONG, Derivations with power central values on multilinear poynomials, Algebra Colloq., 3 (4) (1996), pp. 369-378. Zbl0864.16031MR1422975

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