100
Views
15
CrossRef citations to date
0
Altmetric
Original Articles

On Functional Identities in Prime Rings with Involution IIFootnote*

, , &
Pages 3169-3183 | Received 01 Feb 1999, Published online: 27 Jun 2007

References

  • Amitsur , S.A. 1969 . Identities in Rings with Involution . Israel J. Math , 7 : 63 – 68 .
  • Beidar , K.I. 1998 . On Functional Identities and Commuting Additive Mappings . Comm. Algebra , 26 : 1819 – 1850 .
  • Beidar , K.L. , Brešar , M. and Chebotar , M.A. 1999 . Generalized Functional Identities with (Anti)automorphisms and Derivations on Prime Rings I . J. Algebra , 215 : 644 – 665 .
  • Beidar K.I. Brešar M. Chebotar M.A. Martindale W.S. On Herstein’s Lie Map Conjectures I in preparation
  • Beidar K.I. Brešar M. Chebotar M.A. Martindale W.S. On Hersteinrsquo;s Lie Map Conjectures II in preparation
  • Beider K.I. Chebotar M.A. On Functional Identities and d-free Subsets of Rings I Structures in Rings I submitted
  • Beider K.I. Chebotar M.A. On Functional Identities and d-free Subsets of Rings, I Structures in Rings I submitted
  • Beider K.I. Chebotar M.A. Lie derivations of Lie idelas of prime rings preprint
  • Beider K.I. Chebotar M.A. On surjective Lie homomorphisms onto Lie idelas of prime rings preprint
  • Beidar , K.I. and Fong , Y. 1999 . On Additive Isomorphisms of Prime Rings Preserving Polynomials . J. Algebra , 215 to appear
  • Beidar , K.L. , Fong , Y. , Lee , P.-H and Wong , T.-L . 1997 . On Additive Maps of Prime Rings Satisfying the Engel Condition . Comm. Algebra , 25 : 3889 – 3902 .
  • Beidar , K.I. and Martindale , W.S. 3 . 1998 . On Functional Identities in Prime Rings with Involution . J. Algebra , 203 : 491 – 532 .
  • Beidar , K.L. , Martindale , W.S. 3 and Rd And Mikhalev , A.V. 1994 . Lie Isomorphisms in Prime Rings with Involution . J. Algebra , 169 : 304 – 327 .
  • Beidar , K.L. , Martindale , W.S. 3 and Rd And Mikhalev , A.V. 1996 . Rings with Generalized Identities , Marcel Dekker .
  • Brešar , M. 1993 . Centralizing Mappings and Derivations in Prime Rings . J, Algebra , 156 : 385 – 394 .
  • Brešar , M. 1993 . Commuting Traces of Biadditive Mappings, Commutativity Preserving Mappings, and Lie Mappings . Trans. Amer, Math. Soc , 335 : 525 – 546 .
  • Brešar , M. 1995 . On Generalized Biderivations and Related Maps . J, Algebra , 172 : 764 – 786 .
  • Brešar , M. 1995 . Functional Identities of Degree Two . J. Algebra , 172 : 690 – 720 .
  • Brešar , M. 1995 . Applying the Theorem on Functional Identities . Nova J. Math. Game Theory, and Algebra , 4 : 43 – 54 .
  • Brešar , M. and Chebotar , M.A. 1998 . On a Certain Functional Identity in Prime Rings . Comm. Algebra , 26 : 3765 – 3782 .
  • Brešlar , M. , Martindale , W.S. 3 and Miers , C.R. 1993 . Centralizing Maps in Prime Rings with Involution . J. Algebra , 161 : 342 – 357 .
  • Brešar , M. , Martindale , W.S. 3 and Miers , C.R. 1998 . Maps Preserving nth Powers . Comm. Algebra , 26 : 117 – 138 .
  • Chebotar , M.A. 1996 . On Lie Automorphisms of Simple Rings of Characteristic 2 . Fundamentalnaya i Prikladnaya Matematika , 2 : 1257 – 1268 . Russian
  • Chebotar , M.A. 1998 . On Generalized Functional Identities on Prime Rings . J, Algebra , 202 : 655 – 670 .
  • Chebotar , M.A. 1999 . On Lie Isomorphisms in Prime Rings with Involution . Comm. Algebra , 27 : 2767 – 2777 .
  • Herstein , I.N. 1961 . Lie and Jordan Structures in Simple, Associative Rings . Bull. Amer. Math. Soc , 67 : 517 – 531 .
  • Herstein , I.N. 1976 . Rings with Involution , The University of Chicago Press .
  • Lee , P.-H and Lee , T.-K . 1997 . Linear Identities and Commuting Maps in Rings with Involution . Comm, Algebra , 25 : 2881 – 2895 .
  • Lee , P.-H , Lin , J.-S , Wang , R.-J and Wong , T.-L . 1997 . Commuting Traces of Mul-tiadditive Mappings . J, Algebra , 103 : 709 – 723 .
  • Lee , T.-K . 1997 . Derivations and Centralizing Mappings in Prime Rings . Taiwanese J, Math , 1 : 333 – 342 .
  • Lee , T.K. and Lee , T.-C . 1996 . Commuting Additive Mappings in Semiprime Rings . Bull Inst. Math. Acad. Sinica , 24 : 259 – 268 .
  • Martindale , W.S. 3 and Miers , C.R. 1986 . Herstein’s Lie Theory Revisited . J.Algebra , 98 : 14 – 37 .
  • Procesi , C. 1973 . Rings with Polynomial Identities , Marcel Decker .
  • Rowen , L.H. 1980 . Polynomial Identities in Ring Theory , Academic Press .

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.