Notes on generalized ( σ , τ ) –derivation

Öznur Gölbaşi; Emine Koç

Rendiconti del Seminario Matematico della Università di Padova (2010)

  • Volume: 123, page 131-140
  • ISSN: 0041-8994

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Gölbaşi, Öznur, and Koç, Emine. "Notes on generalized $({\sigma } ,{\tau } )$–derivation." Rendiconti del Seminario Matematico della Università di Padova 123 (2010): 131-140. <http://eudml.org/doc/240502>.

@article{Gölbaşi2010,
author = {Gölbaşi, Öznur, Koç, Emine},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {prime rings; automorphisms; additive mappings; generalized derivations; Lie ideals},
language = {eng},
pages = {131-140},
publisher = {Seminario Matematico of the University of Padua},
title = {Notes on generalized $(\{\sigma \} ,\{\tau \} )$–derivation},
url = {http://eudml.org/doc/240502},
volume = {123},
year = {2010},
}

TY - JOUR
AU - Gölbaşi, Öznur
AU - Koç, Emine
TI - Notes on generalized $({\sigma } ,{\tau } )$–derivation
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2010
PB - Seminario Matematico of the University of Padua
VL - 123
SP - 131
EP - 140
LA - eng
KW - prime rings; automorphisms; additive mappings; generalized derivations; Lie ideals
UR - http://eudml.org/doc/240502
ER -

References

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  1. [1] N. Argaç - E. Albaş, Generalized derivations of prime rings, Algebra Coll., 11 (3) (2004), pp. 399--410. Zbl1074.16022MR2081197
  2. [2] M. Ashraf - N. Rehman - M. A. Quadri, On ( σ , τ ) -derivations in certain clases of rings, Radovi Math., 9 (2) (1999), pp. 187--192. Zbl0963.16031MR1790206
  3. [3] A. Asma - N. Rehman - A. Shakir, On Lie ideals with derivations as homomorphisms and anti-homomorphisms, Acta Mathematica Hungarica, 101 (2003), pp. 79--82. Zbl1053.16025MR2011464
  4. [4] A. Asma - D. Kumar, Derivation which acts as a homomorphism or as an anti-homomorphism in prime ring, International Math. Forum, 2 (23) (2007), pp. 1105--1110. Zbl1146.16015MR2334023
  5. [5] H. E. Bell - W. S. Martindale, Centralizing mappings of semiprime rings, Canad. Math. Bull., 30 (1) (1987), pp. 92--101. Zbl0614.16026MR879877
  6. [6] H. E. Bell - L. C. Kappe, Rings in which derivations satisfy certain algebraic conditions, Acta math. Hungarica, 53 (1989), pp. 339--346. Zbl0705.16021MR1014917
  7. [7] Ö. Gölbaşi - N. Aydin, Some results on endomorphisms of prime ring which are ( σ , τ ) -derivation, East Asian Math. J., 18 (2) (2002), pp. 195--203. Zbl1030.16020
  8. [8] B. Hvala, Generalized derivations in rings, Comm. Algebra, 26 (4) (1998), pp. 1147--1166. Zbl0899.16018MR1612208
  9. [9] H. Kandamar - K. Kaya, Lie ideals and ( σ , τ ) -derivation in prime rings, Hacettepe Bull. Natural Sci. and Engeneering, 21 (1992), pp. 29--33. Zbl0791.16027
  10. [10] N. Rehman, On commutativity of rings with generalized derivations, Math. J. Okayama Univ., 44 (2002), pp. 43--49. Zbl1030.16022MR1961123
  11. [11] N. Rehman, On generalized derivations as homomorphisms and anti-homomorphisms, Glasnik Mathematicki, 39 (59) (2004), pp. 27--30. Zbl1047.16019MR2055383
  12. [12] E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc., 8 (1957), pp. 1093--1100. Zbl0082.03003MR95863

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