Advanced search
Publication Cover
Communications in Algebra Volume 48, 2020 - Issue 9
Submit an article Journal homepage
246
Views
8
CrossRef citations to date
0
Altmetric
Articles

Characterizations of Lie triple derivations on generalized matrix algebras

Mohammad AshrafDepartment of Mathematics, Aligarh Muslim University, Aligarh, IndiaView further author information
&
Mohd Shuaib AkhtarDepartment of Mathematics, Aligarh Muslim University, Aligarh, IndiaCorrespondence[email protected]
View further author information
Pages 3651-3660 | Received 18 Aug 2018, Accepted 03 Mar 2020, Published online: 03 Apr 2020

References

  • Brown, W. P. (1955). Generalized matrix algebras. Can. J. Math. 7:188–190. DOI: 10.4153/CJM-1955-023-2.
  • Du, Y. Q., Wang, Y. (2012). Lie derivations of generalized matrix algebras. Linear Algebra Appl. 437(11):2719–2726. DOI: 10.1016/j.laa.2012.06.013.
  • Ji, P., Liu, R., Zhao, Y. (2012). Nonlinear Lie triple derivations of triangular algebras. Linear Multilinear Algebra 60(10):1155–1164. DOI: 10.1080/03081087.2011.652109.
  • Ji, P., Qi, W., Sun, X. (2013). Characterizations of Lie derivations of factor von Neumann algebras. Linear Multilinear Algebra 61(3):417–428. DOI: 10.1080/03081087.2012.689982.
  • Li, J., Shen, Q. (2012). Characterization of Lie higher and Lie triple derivation on triangular algebra. J. Korean Math. Soc. 49(2):419–433. DOI: 10.4134/JKMS.2012.49.2.419.
  • Li, Y., Wei, F. (2012). Semi-centralizing maps of generalized matrix algebras. Linear Algebra Appl. 436(5):1122–1153. DOI: 10.1016/j.laa.2011.07.014.
  • Li, Y., Wyk, L. V., Wei, F. (2013). Jordan derivation and antiderivation of generalized matrix algebras. Oper. Matrices 7:399–415. DOI: 10.7153/oam-07-23.
  • Li, Y. B., Xiao, Z. K. (2011). Additivity of maps on generalized matrix algebras. Electron. J. Linear Algebra 22:743–757.
  • Liu, L. (2015). Lie triple derivations on factor von Neumann algebras. Bull. Korean Math. Soc. 52(2):581–591. DOI: 10.4134/BKMS.2015.52.2.581.
  • Marcoux, L. W., Sourour, A. R. (1999). Lie isomorphisms of nest algebras. J. Funct. Anal. 164(1):163–180. DOI: 10.1006/jfan.1999.3388.
  • Miers, C. R. (1973). Lie derivations of von Neumann algebras. Duke Math. J. 40(2):403–409. DOI: 10.1215/S0012-7094-73-04032-5.
  • Miers, C. R. (1978). Lie triple derivations of von Neumann algebras. Proc. Amer. Math. Soc. 71(1):57–61. DOI: 10.1090/S0002-9939-1978-0487480-9.
  • Wang, Y., Wang, Y. (2013). Multiplicative Lie n-derivations of generalized matrix algebras. Linear Algebra Appl. 438(5):2599–2616. DOI: 10.1016/j.laa.2012.10.052.
  • Xiao, Z. K., Wei, F. (2010). Commuting mappings of generalized matrix algebras. Linear Algebra Appl. 433(11–12):2178–2197. DOI: 10.1016/j.laa.2010.08.002.
  • Xiao, Z. K., Wei, F. (2012). Nonlinear Lie higher derivations on triangular algebras. Linear Multilinear Algebra 60(8):979–994. DOI: 10.1080/03081087.2011.639373.
  • Yu, W., Zhang, J. (2010). Nonlinear Lie derivations of triangular algebras. Linear Algebra Appl. 432(11):2953–2960. DOI: 10.1016/j.laa.2009.12.042.
  • Zhang, J., Wu, B. W., Cao, H. X. (2006). Lie triple derivations of nest algebras. Linear Algebra Appl. 416(2–3):559–567. DOI: 10.1016/j.laa.2005.12.003.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.