188
Views
2
CrossRef citations to date
0
Altmetric
Articles

Lie σ-derivations of triangular algebras

Pages 2966-2983 | Received 24 Nov 2019, Accepted 20 Aug 2020, Published online: 16 Sep 2020

References

  • Cheung W-S. Lie derivations of triangular algebras. Linear Multilinear Algebra. 2003;51:299–310. doi: 10.1080/0308108031000096993
  • Yang W, Zhu J. Characterizations of additive (generalized) ξ-Lie (α,β) derivations on triangular algebras. Linear Multilinear Algebra. 2013;61:811–830. doi: 10.1080/03081087.2012.709244
  • Ánh PN, van Wyk L. Automorphism groups of generalized triangular matrix rings. Linear Algebra Appl. 2011;434:1018–1026. doi: 10.1016/j.laa.2010.10.007
  • Cheung W-S. Mappings on triangular algebras [PhD dissertation]. University of Victoria; 2000.
  • Jøndrup S. Automorphisms of upper triangular matrix rings. Arch Math. 1987;49:497–502. doi: 10.1007/BF01194296
  • Jøndrup S. Automorphisms and derivations of upper triangular matrix rings. Linear Algebra Appl. 1995;221:205–218. doi: 10.1016/0024-3795(93)00255-X
  • Kezlan TP. A note on algebra automorphisms of triangular matrices over commutative rings. Linear Algebra Appl. 1990;135:181–184. doi: 10.1016/0024-3795(90)90121-R
  • Benkovič D. Jordan σ-derivations of triangular algebras. Linear Multilinear Algebra. 2016;64:143–155. doi: 10.1080/03081087.2015.1027646
  • González CM, Repka J, Sánchez-Ortega J. Automorphisms, σ-biderivations and σ-commuting maps of triangular algebras. Mediterr J Math. 2017;14(2):00–00. Art. 68, 25 pp. doi: 10.1007/s00009-016-0809-2
  • Han D, Wei F. Jordan (α,β)-derivations on triangular algebras and related mappings. Linear Algebra Appl. 2011;434:259–284. doi: 10.1016/j.laa.2010.08.018
  • Repka J, Sánchez-Ortega J. σ-biderivations and σ-commuting maps of triangular algebras. arXiv: 1312.3980 [math.RA]
  • Sánchez-Ortega J. σ-Mappings of triangular algebras. arXiv:1312.4635 [math.RA]
  • Wang Y. A note on Jordan σ-derivations of triangular algebras. Linear Multilinear Algebra. 2018;66:639–644. doi: 10.1080/03081087.2017.1312683
  • Davidson KR. Nest algebras. New York: Longman scientific & technical; 1988.
  • Miers CR. Lie derivations of von Neumann algebras. Duke Math J. 1973;40:403–409. doi: 10.1215/S0012-7094-73-04032-5

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.