95
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

DERIVATIONS WITH ENGEL AND ANNIHILATOR CONDITIONS ON MULTILINEAR POLYNOMIALS

Pages 719-725 | Received 15 Oct 2003, Published online: 03 Sep 2006

REFERENCES

  • Beidar , K. I. , Martindale , W. S. , Mikhalev , A. V. ( 1996 ). Rings with Generalized Identities . New York : Marcel Dekker .
  • Brešar , M. ( 1993 ). Centralizing mappings and derivations in prime rings . J. Algebra 156 : 385 – 394 .
  • Brešar , M. ( 1994 ). One-sided ideals and derivations of prime rings . Proc. Amer. Math. Soc. 122 : 979 – 983 .
  • Chuang , C.-L. (1988). GPIs having coefficients in Utumi quotient rings. Proc. Am. Math. Soc. 103:723–728.
  • Chuang , C.-L. , Lee , T.-K. ( 1996 ). Rings with annihilator conditions on multilinear polynomials . Chin. J. Math. 24 : 177 – 185 .
  • Faith , C. , Utumi , Y. ( 1963 ). On a new proof of Litoff's theorem . Acta Math. Acad. Sci. Hung. 14 : 369 – 371 .
  • De Filippis , V. ( 2000 ). On the annihilator of commutators with derivation in prime rings . Rend. del Cir. Math. Di Pal , Series II , 49 : 343 – 352 .
  • De Filippis , V. , Di Vincenzo , O. M. ( 2001 ). Posner's second theorem and annihilator condition . Math. Pannonica 12 : 69 – 81 .
  • Kharchenko , V. K. ( 1979 ). Differential identities of semiprime rings . Alg. Logic 18 : 86 – 119 (English translation in Alg. Logic 18:58–80.)
  • Lanski , C. ( 1986 ). Differential identities, Lie ideals, and Posner's theorems . Pacific J. Math. 56 : 231 – 246 .
  • Lanski , C. ( 1993 ). An Engel condition with derivation . Proc. Amer. Math. Soc. 118 : 731 – 734 .
  • Lanski , C. ( 1997 ). An Engel condition with derivation for left ideals . Proc. Amer. Math. Soc. 125 : 339 – 345 . [CROSSREF]
  • Lee , P.-H. , Lee T.-K. ( 1983 ). Lie ideals of prime rings with derivations . Bull. Inst. Math. Acad. Sinica 11 : 75 – 80 .
  • Lee , P.-H. , Lee , T.-K. ( 1996 ). Derivations with Engel conditions on multilinear polynomials , Proc. Amer. Math. Soc. 124 : 2625 – 2629 . [CROSSREF]
  • Lee , T.-K. ( 1992 ). Semiprime rings with differential identities . Bull. Inst. Math. Acad. Sinica 20 : 27 – 38 .
  • Lee , T.-K. ( 1995a ). Left annihilators characterized by GPIs . Trans. Am. Math. Soc. 347 : 3159 – 3165 .
  • Lee , T.-K. ( 1995b ). Semiprime rings with hypercentral derivations . Canad. Math. Bull. 38 : 445 – 449 .
  • Lee , T.-K. ( 1996 ). Power reduction property for generalized identities of one-sided ideals . Alg. Colloq. 3 : 19 – 24 .
  • Lee , P.-H. , Wong , T.-L. ( 1995 ). Derivations cocentralizing Lie ideals . Bull. Inst. Math. Acad. Sinica 23 : 1 – 5 .
  • Leron , U. ( 1975 ). Nil and power central polynomials in rings . Trans. Am. Math. Soc. 202 : 97 – 103 .
  • Martindale , W. S. III ( 1969 ). Prime rings satisfying a generalized polynomial identity . J. Alg. 12 : 576 – 584 .
  • Posner , E. C. ( 1957 ). Derivations in prime rings . Proc. Am. Math. Soc. 8 : 1093 – 1100 .
  • Vukman , J. ( 1990 ). Commuting and centralizing mappings in prime rings . Proc. Am. Math. Soc. 109 : 47 – 52 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.