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Articles

Functional identities of degree 2 in triangular rings revisited

Pages 534-553 | Received 01 Dec 2013, Accepted 11 Dec 2013, Published online: 05 Mar 2014

References

  • Brešar M. Commuting maps: a survey. Taiwanese J. Math. 2004;8:361–397.
  • Brešar M, Chebotar MA, Martindale WS 3rd. Functional identities. Frontiers in mathematics. Basel: Birkháuser; 2007.
  • Brešar M. Centralizing mappings and derivations in prime rings. J. Algebra. 1993;156:385–394.
  • Brešar M. On generalized biderivations and related maps. J. Algebra. 1995;172:764–786.
  • Beidar KI, Brešar M, Chebotar MA. Functional identities on upper triangular matrix algebras. J. Math. Sci. (New York). 2000;102:4557–4565.
  • Cheung W-S. Commuting maps of triangular algebras. J. London Math. Soc. 2001;63:117–127.
  • Zhang J-H, Feng S, Li H-X, Wu R-H. Generalized biderivations of nest algebras. Linear Algebra Appl. 2006;418:225–233.
  • Eremita D. Functional identities of degree 2 in triangular rings. Linear Algebra Appl. 2013;438:584–597.
  • Benkovič D, Eremita D. Commuting traces and commutativity preserving maps on triangular algebras. J. Algebra. 2004;280:797–824.
  • Utumi Y. On quotient rings. Osaka J. Math. 1956;8:1–18.
  • Passman DS. A course in ring theory. Pacific Grove (CA): Wadsworth & Brooks/Cole Advanced Books & Software; 1991.
  • Beidar KI, Martindale WS III, Mikhalev A. Rings with generalized identities. New York (NY): Marcel Dekker; 1996.
  • Lee T-K. Generalized derivations of left faithful rings. Comm. Algebra. 1999;27:4057–4073.
  • Lam TY. Lectures on modules and rings. Vol. 189, Graduate texts in mathematics. New York (NY): Springer; 1999.
  • Stenström B. The maximal ring of quotients of a triangular matrix ring. Math. Scand. 1974;34:162–166.
  • Davidson KR. Nest algebras. Vol. 191, Pitman research notes in mathematics series. Harlow: Longmans; 1988.
  • Benkovič D. Biderivations of triangular algebras. Linear Algebra Appl. 2009;431:1587–1602.
  • Ghosseiri NM. On biderivations of upper triangular matrix rings. Linear Algebra Appl. 2013;438:250–260.

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