216
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

On Maps Determined by Zero Products

, &
Pages 2081-2090 | Received 01 Mar 2011, Published online: 15 Jun 2012

REFERENCES

  • Alaminos , J. , Brešar , M. , Extremera , J. , Villena , A. R. ( 2009 ). Maps preserving zero products . Studia Math. 193 : 131 – 159 .
  • Alaminos , J. , Brešar , M. , Extremera , J. , Villena , A. R. ( 2010 ). On bilinear maps determined by rank one idempotents . Linear Algebra Appl. 432 : 738 – 743 .
  • Beidar , K. I. , Martindale , W. S. 3rd., Mikhalev , A. V. ( 1996 ). Rings with Generalized Identities . New York–Basel–Hong-Kong : Marcel Dekker, Inc .
  • Brešar , M. ( 2000 ). Functional identities: a survey . Contemporary Math. 259 : 93 – 109 .
  • Brešar , M. ( 2007 ). Characterizing homomorphisms, derivations and multipliers in rings with idempotents . Proc. Roy. Soc. Edinburgh Sect. A 137 : 9 – 21 .
  • Brešar , M. , Chebotar , M. A. , Martindale , W. S. 3rd. ( 2007 ). Functional Identities . Basel–Boston–Berlin : Birkhäuser .
  • Brešar , M. , Grašič , M. , Sanchez , J. (2009). Zero product determined matrix algebras. Linear Algebra Appl. 430:1486–1498.
  • Brešar , M. , Šemrl , P. ( 2006 ). On bilinear maps on matrices with application to commutativity preserves . J. Algebra 301 : 803 – 837 .
  • Chebotar , M. A. , Ke , W.-F. , Lee , P.-H. ( 2004 ). Maps characterized by action on zero products . Pacific J. Math. 216 : 217 – 228 .
  • Grašič , M. ( 2010 ). Zero product determined classical Lie algebras . Linear and Multilin. Algebra 58 : 1007 – 1022 .
  • Grašič, M. ( 2011 ). Zero product determined Jordan algebras, I . Linear and Multilin. Algebra 59 : 671 – 685 .
  • Kadison , R. V. ( 1990 ). Local derivations . J. Algebra 130 : 494 – 509 .
  • Larson , R. , Sourour , A. R. ( 1990 ). Local derivations and local automorphisms of B(X). Operator Theory: Operator Algebras and Applications, Part 2 (Durham, NH, 1988), Proc. Sympos. Pure Math. 51, Part 2, Providence, RI: Amer. Math. Soc., pp. 187–194 .
  • Wang , D. , Yu , X. , Chen , Z. ( 2011 ). A class of zero product determined Lie algebras . J. Algebra 331 : 145 – 151 .
  • Wang , Y. ( 2010 ). Local generalized derivations in prime rings with idempotents . Algebra Colloq. 17 : 295 – 300 .
  • Communicated by E. Puczylowski.

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.