On Identities with Composition of Generalized Derivations

• Autores: Münevver Pınar Eroǧlu, Nurcan Argaç
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 60, Nº 4, 2017, págs. 721-735
• Idioma: inglés
• DOI: 10.4153/cmb-2016-072-4
• Texto completo no disponible (Saber más ...)
• Referencias bibliográficas
  • E. Albaş and N. Argaç, Generalized derivations of prime rings. Algebra Colloq. 11 (2004), 399–410.
  • K. I. Beidar, W. S. Martindale III, and A. V. Mikhalev, Rings with generalized identities. Pure and Applied Math., Dekker, New York, 1996.
  • M. Brešar, On the distance of the compositions of two derivations to generalized derivations. Glasgow Math. J. 33 (1991), 89–93.
  • M. Brešar, Centralizing mappings and derivations in prime rings. J. Algebra 156 (1993), 385–394.
  • M. Brešar, On generalized biderivations and related maps. J. Algebra, 172 (1995), 764–786.
  • M. Brešar, M. A. Chebotar, and W. S. Martindale III, Functional identities. Frontiers in Mathematics, Birkhäuser Verlag, Basel, 2007.
  • C.-M. Chang and T.-K. Lee, Annihilators of power values of derivations in prime rings. Comm. Algebra 26 (1998), 2091–2113.
  • C.-L. Chuang, The additive subgroup generated by a polynomial. Israel J. Math., 59 (1987), 98–106.
  • C.-L. Chuang, GPIs having coefficients in Utumi quotient rings. Proc. Amer. Math. Soc. 103 (1988), 723–728.
  • V. De Filippis, A product of two generalized derivations on polynomials in prime rings. Collect. Math. 61 (2010), 303–322.
  • Ç. Demir and N. Argaç, Prime rings with generalized derivations on right ideals. Algebra Colloq. 18 (2011), 987–998.
  • I. N. Herstein, Topics in ring theory. University of Chicago Press, Chicago, Ill.-London, 1969.
  • I. N. Herstein, Derivations of prime rings having power central values. In: Algebraists' homage: papers in ring theory and related topics,...
  • B. Hvala, Generalized derivations in rings. Comm. Algebra 26 (1998), 1147–1166.
  • N. Jacobson, PI-algebras: an introduction. Lecture Notes in Mathematics, 441, Springer-Verlag, Berlin-New York, 1975, pp. 11–66.
  • V. K. Kharchenko, Differential identities of prime rings. Algebra and Logic 17 (1978), 155–168.
  • C. Lanski, An Engel condition with derivation. Proc. Amer. Math. Soc. 118 (1993), 731–734.
  • T.-K. Lee, Generalized derivations of left faithful rings. Comm. Algebra 27 (1999), 4057–4073.
  • T.-K. Lee and W.-K. Shiue, Derivations centralizing polynomials. Taiwanese J. Math. 2 (1998), 457–467.
  • T.-K. Lee and W.-K. Shiue, Identities with generalized derivations. Comm. Algebra 29 (2001), 4437–4450.
  • U. Leron, Nil and power central polynomials in rings. Trans. Amer. Math. Soc. 202 (1975), 97–103.
  • J. Ma and X. Xu, Cocentralizing generalized derivations in prime rings. Northeast. Math. J. 22 (2006), 105–113.
  • W. S. Martindale III, Prime rings satisfying a generalized polynomial identity. J. Algebra 12 (1969), 576–584.
  • E. C. Posner, Derivation in prime rings. Proc. Amer. Math. Soc. 8 (1957), 1093–1100.
  • F. Rania, A note on generalized derivations with zero and invertible values. Int. J. Algebra 2 (2008), 971–980.
  • T.-L. Wong, Derivations with power-central values on multilinear polynomials. Algebra Colloq. 3 (1996), 369–378.
  • T.-L. Wong, Derivations centralizing multilinear polynomials. Taiwanese J. Math. 1 (1997), 31–37.