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Communications in Algebra Volume 48, 2020 - Issue 2
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Original Articles

Jordan derivations of alternative rings

Bruno Leonardo Macedo FerreiraFederal Technological University of Paraná, Guarapuava, Brazil; Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-1621-8197
ORCID Icon,
Henrique Guzzo Jr.Institute of Mathematics and Statistics, University of São Paulo, São Paulo, Brazil;
,
Ruth Nascimento FerreiraFederal Technological University of Paraná, Guarapuava, Brazil;
&
Feng WeiSchool of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China
Pages 717-723 | Received 13 Sep 2018, Accepted 06 Aug 2019, Published online: 10 Sep 2019

References

  • Benkovič, D. (2016). Jordan σ-derivations of triangular algebras. Linear Multilinear Algebra. 64(2):143–155. DOI: 10.1080/03081087.2015.1027646.
  • Benkovič, D., Širovnik, N. (2012). Jordan derivation of unital algebras with idempotents. Linear Algebra Appl. 437(9):2271–2284. DOI: 10.1016/j.laa.2012.06.009.
  • Brešar, M. (1988). Jordan derivations on semiprime rings. Proc. Amer. Math. Soc. 104(4):1003–1006. DOI: 10.1090/S0002-9939-1988-0929422-1.
  • Brešar, M. (1993). Commuting traces of biadditive mappings, commutativity-preserving mappings and lie mappings. Trans. Amer. Math. Soc. 335(2):525–546. DOI: 10.1090/S0002-9947-1993-1069746-X.
  • Ferreira, J. C. M., Ferreira, B. L. M. (2016). Additivity of n-multiplicative maps on alternative rings. Commun. Algebra 44:1557–1568.
  • Ferreira, R. N., Ferreira, B. L. M. (2017). Jordan derivation on alternative rings. Inter. J. Math. Game Theory Algebra 25:435–444.
  • Ferreira, R. N., Ferreira, B. L. M. (2018). Jordan triple derivation on alternative rings. Proyecciones J. Math. 37:169–178.
  • Filippov, V. T. (2000). On δ-derivations of prime alternative and Mal’tsev algebras. Algebra Logika. 39:618–625; translation in Algebra and Logic, 39 (2000), 354–358. DOI: 10.1007/BF02681620.
  • Hentzel, I. R., Kleinfeld, E., Smith, H. F. (1980). Alternative rings with idempotent. J. Algebra. 64(2):325–335. DOI: 10.1016/0021-8693(80)90149-0.
  • Herstein, I. N. (1957). Jordan derivations of prime rings. Proc. Amer. Math. Soc. 8(6):1104–1110. DOI: 10.2307/2032688.
  • Kaygorodov, I. B., Popov, Y. S. (2014). Alternative algebras that admit derivations with invertible values and invertible derivation (Russian). Izv. Ross. Akad. Nauk Ser. Mat. 78:75–90; translation in Izv. Math., 78 (2014), 922–936. DOI: 10.1070/IM2014v078n05ABEH002713.
  • Li, Y.-B., Benkovič, D. (2011). Jordan generalized derivations on triangular algebras. Linear Multilinear Algebra. 59(8):841–849. DOI: 10.1080/03081087.2010.507600.
  • Schafer, R. D. (1966). An Introduction to Nonassociative Algebras. Pure and Applied Mathematics, Vol. 22. New York: Academic Press.
  • Slater, M. (1970). Prime alternative rings, I. J. Algebra. 15(2):229–243. DOI: 10.1016/0021-8693(70)90075-X.
  • Wang, Y. (2018). A note on Jordan σ-derivations of triangular algebras. Linear Multilinear Algebra. 66(3):639–644. DOI: 10.1080/03081087.2017.1312683.
  • Zhelyabin, V. N., Shestakov, A. I. (2017). Alternative and Jordan algebras admitting ternary derivations with invertible values. Sib. Èlektron. Mat. Izv. 14:1505–1523.
  • Zhevlakov, K. A., Slin’ko, A. M., Shestakov, I. P., Shirshov, A. I. (1982). Rings that are nearly associative, Translated from the Russian by Harry F. Smith. Pure and Applied Mathematics, Vol. 104. New York: Academic Press, Inc., xi + 371 pp.

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