References

  1. Beidar K. I., Martindale III W. S., Mikhalev A. V. Rings with generalized identities. Marcel Dekker Inc., New York, 1996.
  2. Bergen J. Derivations in prime rings. Canad. Math. Bull. 1983, 26(3), 267-270. doi: 10.4153/CMB-1983-042-2
  3. Daif M. N. When is a multiplicative derivation additive? Internat. J. Math. Math. Sci. 1991, 14(3), 615-618. doi: 10.1155/S0161171291000844
  4. Ferreira B. L. M., Guzzo Jr. H., Ferreira J. C. M. Additivity of Jordan elementary maps on standard rings. Alg. Disc. Math. 2014, 18(2), 203-233.
  5. Jacobson N. Structure of rings. Colloq. Pub. (Amer. Math. Soc.), Rhode Island, Vol. 37, 1964.
  6. Ling Z., Lu F. Jordan maps of nest algebras. Linear Algebra Appl. 2004, 387 (1), 361-368. doi: 10.1016/j.laa.2004.02.031
  7. Lu F. Jordan derivable maps of prime rings. Commun. Algebra 2010, 38 (12), 4430-4440. doi: 10.1080/00927870903366884
  8. Martindale III W. S. When are multiplicative mappings additive? Proc. Amer. Math. Soc. 1969, 21(3), 695-698. doi: 10.2307/2036449
  9. Peisheng J. Jordan maps on triangular algebras. Linear Algebra Appl. 2007, 426 (1), 190-198. doi: 10.1016/j.laa.2007.04.009
  10. Rodrigues R. L., Guzzo Jr. H., Ferreira J. C. M. When is a multiplicative derivation additive in alternative rings? Comm. Algebra 2016, 44 (6), 2561-2566. doi: 10.1080/00927872.2015.1065835
  11. Wang Y. The additivity of multiplicative maps on rings. Comm. Algebra 2009, 37 (7), 2351-2356. doi: 10.1080/00927870802623369