Advanced search
Publication Cover
Communications in Algebra Volume 40, 2012 - Issue 6
Submit an article Journal homepage
268
Views
15
CrossRef citations to date
0
Altmetric
Original Articles

Nonadditive Strong Commutativity Preserving Maps

Tsiu-Kwen Lee Department of Mathematics, National Taiwan University, Taipei, TaiwanCorrespondence[email protected]
&
Tsai-Lien Wong Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan
Pages 2213-2218 | Received 20 Mar 2011, Published online: 15 Jun 2012

REFERENCES

  • Beidar , K. I. , Martindale , W. S. , Mikhalev , A. V. ( 1996 ). Rings with Generalized Identities . New York–Basel–Hong Kong : Marcel Dekker, Inc .
  • Bell , H. E. , Daif , M. ( 1994 ). On commutativity and strong commutativity-preserving maps . Canad. Math. Bull. 37 ( 4 ): 443 – 447 .
  • Bell , H. , Mason , G. ( 1992 ). On derivations in near rings and rings . Math. J. Okayama Univ. 34 : 135 – 144 .
  • Bre\v sar, M., Martindale III , W. S. , Miers , C. R. ( 1993 ). Centralizing maps in prime rings with involution . J. Algebra 161 : 342 – 357 .
  • Bre\v sar, M., Miers , C. R. ( 1994 ). Strong commutativity preserving maps of semiprime rings . Canad. Math. Bull. 37 : 457 – 460 .
  • Deng , Q. , Ashraf , M. ( 1996 ). On strong commutativity preserving maps . Results Math. 30 : 259 – 63 .
  • Herstein , I. N. ( 1969 ). Topics in Ring Theory . Chicago : University of Chicago Press .
  • Koşan , T. , Lee , T.-K. , Zhou , Y. Faithful f-free algebras. To appear in Comm. Algebra.
  • Lee , T.-K. , Lee , T.-C. ( 1996 ). Commuting additive mappings in semiprime rings . Bull. Inst. Math. Acad. Sinica 24 : 259 – 268 .
  • Lin , J.-S. , Liu , C.-K. ( 2008 ). Strong commutativity preserving maps on Lie ideals . Linear Algebra Appl. 428 : 1601 – 1609 .
  • Ma , J. , Xu , X. W. , Niu , F. W. ( 2008 ). Strong commutativity-preserving generalized derivations on semiprime rings . Acta Math. Sin. (Engl. Ser.) 24 ( 11 ): 1835 – 1842 .
  • Qi , X. , Hou , J. ( 2010 ). Nonlinear strong commutativity preserving maps on prime rings . Comm. Algebra 38 : 2790 – 2796 .
  • Samman , M. S. ( 2005 ). On strong commutativity-preserving maps . Int. J. Math. Math. Sci. 6 : 917 – 923 .
  • Communicated by M. Bresar.

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.