56
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Linear identities and derivations

&
Pages 3317-3327 | Received 01 Mar 1999, Published online: 27 Jun 2007

References

  • Chang , J.C. 1987 . On fixed power central(α,β)-derivations . Bull. Inst. Math. Acad. Sinica , 15 : 163 – 178 .
  • Chuang , C.L. 1988 . GPI s having coefficients in Utumi quotient rings . Proc. Amer. Math. Soc , 103 : 723 – 728 .
  • Chuang , C.L. 1989 . On nilpotent derivations of prime rings . Proc. Amer. Math. Soc , 107 : 67 – 71 .
  • Chung , L.O. and Luh , J. 1984 . Nilpotency of derivatives on an ideal . Proc. Amer. Math. Soc , 90 : 211 – 214 .
  • Faith , C. and Utumi , Y. 1963 . On a new proof of Litoff’s theorem . Acta Math. Acad. Sci. Hung , 14 : 369 – 371 .
  • Herstein , I.N. 1969 . Topics in ring theory , Chicago : University of Chicago Press .
  • Hvala , B. 1998 . Generalized derivations in rings . Comm. Algebra , 26 ( 4 ) : 1147 – 1166 .
  • Jacobson , N. 1975 . “ PI-algebras: an introduction ” . In Lecture Notes in Math , Vol. 441 , Berlin : Springer-Verlag . New York
  • Kharchenko , V.K. 1978 . Differential identities of prime rings . Algebra i Logika , 17 : 220 – 238 . Engl. TransL, Algebra and Logic 17 (1978), 154-168
  • Kharchenko , V.K. 1979 . Differential identities of semiprime rings . Algebra i Logika , 18 : 86 – 119 . Engl, TVansL, Algebra and Logic 18 (1979), 58-80)
  • Lee , P.H. and Lee , T.K. 1986 . Note on nilpotent derivations . Proc, Amer. Math. Soc , 98 : 31 – 32 .
  • Lee , T.K. 1992 . Semiprime rings with differential identities . Bull. Inst. Math. Acad. Sinica , 20 : 27 – 38 .
  • Lee , T.K. 1999 . Differential identities of Lie ideals or large right ideals in prime rings . Comm. Algebra , 27 ( 2 ) : 793 – 810 .
  • Lee , T.K. 1999 . Generalized derivations of left faithful rings . Comm. Algebra , 27 ( 8 ) : 4057 – 4073 .
  • Maxtindale , W.S. Jr . 1969 . Prime rings satisfying a generalized polynomial identity . J. Algebra , 12 ( 8 ) : 576 – 584 .
  • Trzepizur , A. 1986 . Lie ideals of prime rings with derivations of higher order . Bull. Soc. Belg. Ser. B , 38 ( 8 ) : 225 – 228 .

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.