Triple derivable maps on prime algebras with involution

References

• Akhtar, M., Ashraf, M. (2021). Generalized Lie triple higher derivable maps on rings. Quaest. Math. 44:959–981.
   Web of Science ®Google Scholar
• Ashraf, M., Akhtar, M. S., Ansari, M. A. (2022). Nonlinear bi-skew Lie-type derivations on factor von Neumann algebras. Commun. Algebra 50:4766–4780. DOI: 10.1080/00927872.2022.2074027.
   Web of Science ®Google Scholar
• Ashraf, M., Parveen, N. (2016). On Jordan triple higher derivable mappings on rings. Mediterr. J. Math. 13: 1465–1477. DOI: 10.1007/s00009-015-0606-3.
   Web of Science ®Google Scholar
• Ashraf, M., Parveen, N. (2017). Lie triple higher derivable maps on rings. Commun. Algebra 45:2256–2275. DOI: 10.1080/00927872.2016.1233195.
   Web of Science ®Google Scholar
• Barton, T. J., Friedman, Y. (1990). Bounded derivations of JB*-triples. Q. J. Math. Oxford Ser. 41:255–268.
   Web of Science ®Google Scholar
• Beidar, K. I., Martindale 3rd, W. S., Mikhalev, A. V. (1996). Rings with Generalized Identities. New York–Basel–Hong Kong: Marcel Dekker, Inc.
   Google Scholar
• Brešar, M. (2016). Functional identities and rings of quotients. Algebras Represent. Theory 19:1437–1450. DOI: 10.1007/s10468-016-9625-4.
   Web of Science ®Google Scholar
• Brešar, M., Chebotar, M. A., Martindale III, W. S. (2007). Functional Identities. Frontiers in Mathematics. Basel: Birkhauser Verlag.
   Google Scholar
• Burgos, M., Fernández-Polo, F. J., Peralta, A. M. (2014). Local triple derivations on C*-algebras and JB*-triples. Bull. Lond. Math. Soc. 46:709–724. DOI: 10.1112/blms/bdu024.
   Web of Science ®Google Scholar
• Burgos, M., Fernández-Polo, F. J., Garces, J. J., Peralta, A. M. (2014). Local triple derivations on C*-algebras. Commun. Algebra 42:1276–1286. DOI: 10.1080/00927872.2012.737191.
   Web of Science ®Google Scholar
• Chuang, C.-L., Fošner, A., Lee, T.-K. (2013). Jordan τ-derivations of locally matrix rings. Algebras Represent. Theory 202:755–763. DOI: 10.1007/s10468-011-9329-8.
   Google Scholar
• Chuang, C.-L., Lee, T.-K. (2011). Derivations modulo elementary operators. J. Algebra 338:56–70. DOI: 10.1016/j.jalgebra.2011.05.009.
   Web of Science ®Google Scholar
• Daif, M. N. (1991). When is a multiplicative derivation additive?. Int. J. Math. Sci. 14:615–618. DOI: 10.1155/S0161171291000844.
   Google Scholar
• Darvish, V., Nouri, M., Razeghi, M., Ai, T. (2020). Nonlinear *-Jordan triple derivations on prime *-algebras. Rocky Mountain J. Math. 50:543–549. DOI: 10.1216/rmj.2020.50.543.
   Web of Science ®Google Scholar
• Essaleh, A. B. A., Peralta, A. M. (2018). Linear maps on C*-algebras which are derivations or triple derivations at a point. Linear Algebra Appl. 538:1–21. DOI: 10.1016/j.laa.2017.10.009.
   Web of Science ®Google Scholar
• Ferreira, B. L. M., Guzzo, H. Jr., Wei, F. (2020). Multiplicative Lie-type derivations on alternative rings. Commun. Algebra 48:5396–5411. DOI: 10.1080/00927872.2020.1789160.
   Web of Science ®Google Scholar
• Garcés, J. J., Peralta, A. M. (2013). Generalised triple homomorphisms and derivations. Can. J. Math. 65:783–807. DOI: 10.4153/CJM-2012-043-7.
   Web of Science ®Google Scholar
• Ho, T., Martinez-Moreno, J., Peralta, A. M., Russo, B. (2002). Derivations on real and complex JB*-triples. J. London Math. Soc. 65:85–102.
   Web of Science ®Google Scholar
• Jacobson, N., Rickart, C. (1950). Jordan homomorphisms of rings. Trans. Amer. Math. Soc. 69:479–502. DOI: 10.2307/1990495.
   Web of Science ®Google Scholar
• Jacobson, N. (1964). Structure of Rings. American Mathematical Society, Colloquium Publications, Vol. 37. Providence, RI: American Mathematical Society.
   Google Scholar
• Ji, P., Liu, R., Zhao, Y. (2012). Nonlinear Lie triple derivations of triangular algebras. Linear Multilinear Algebra 60:1155–1164. DOI: 10.1080/03081087.2011.652109.
   Web of Science ®Google Scholar
• Jing, W., Lu, F. (2012). Lie derivable maps on prime rings. Linear Multilinear Algebra 60:167–180. DOI: 10.1080/03081087.2011.576343.
   Web of Science ®Google Scholar
• Jing, W., Lu, F. (2012). Additivity of Jordan (triple) derivations on rings. Commun. Algebra 40:2700–2719. DOI: 10.1080/00927872.2011.584927.
   Web of Science ®Google Scholar
• Kaup, W. (1977). Algebraic characterization of symmetric complex Banach manifolds. Math. Ann. 228:39–64. DOI: 10.1007/BF01360772.
   Web of Science ®Google Scholar
• Kaup, W. (1983). A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces. Math. Z. 183:503–529. DOI: 10.1007/BF01173928.
   Web of Science ®Google Scholar
• Lee, T.-K. (1992). Semiprime rings with differential identities. Bull. Inst. Math. Acad. Sinica 20:27–38.
   Google Scholar
• Li, C., Fang, X., Lu, F. (2014). Nonlinear ξ-Jordan *-derivations on von Neumann algebras. Linear Multilinear Algebra 62:466–473. DOI: 10.1080/03081087.2013.780603.
   Web of Science ®Google Scholar
• Li, C., Fang, X., Lu, F., Wang, T. (2014). Lie triple derivable mappings on rings. Commun. Algebra 42:2510–2014. DOI: 10.1080/00927872.2012.763041.
   Web of Science ®Google Scholar
• Li, P., Jing, W. (2004). Jordan elementary maps on rings. Linear Algebra Appl. 382:237–245. DOI: 10.1016/j.laa.2003.12.037.
   Web of Science ®Google Scholar
• Liu, C.-K., Chen, H.-Y., Liau, P.-K. (2014). Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras. Linear Multilinear Algebra 62:453–465. DOI: 10.1080/03081087.2013.780604.
   Web of Science ®Google Scholar
• Liu, C.-K. (2017). The structure of triple derivations on semisimple Banach *-algebras. Q. J. Math. 68:759–779. DOI: 10.1093/qmath/haw061.
   Web of Science ®Google Scholar
• Lu, F. (2010). Jordan derivable maps of prime rings. Commun. Algebra 38:4430–4440. DOI: 10.1080/00927870903366884.
   Web of Science ®Google Scholar
• Lu, F., Liu, B. (2010). Lie derivable maps on B(X). J. Math. Anal. Appl. 372:369–376. DOI: 10.1016/j.jmaa.2010.07.002.
   Web of Science ®Google Scholar
• Mackey, M. (2013). Local derivations on Jordan triples. Bull. Lond. Math. Soc. 45:811–824. DOI: 10.1112/blms/bdt007.
   Web of Science ®Google Scholar
• Kudaybergenov, K., Oikhberg, T., Peralta, A. M., Russo, B. (2014). 2-local triple derivations on von Neumann algebras. Illinois J. Math. 58:1055–1069. DOI: 10.1215/ijm/1446819301.
   Google Scholar
• Peralta, A. M., Russo, B. (2014). Automatic continuity of derivations on C*-algebras and JB*-triples. J. Algebra 399:960–977. DOI: 10.1016/j.jalgebra.2013.10.017.
   Web of Science ®Google Scholar
• Pluta, R., Russo, B. (2015). Triple derivations on von Neumann algebras. Studia Math. 226:57–73. DOI: 10.4064/sm226-1-3.
   Web of Science ®Google Scholar
• Pluta, R., Russo, B. (2018). Derivations on ternary rings of operators. Oper. Matrices 12:393–406. DOI: 10.7153/oam-2018-12-25.
   Web of Science ®Google Scholar
• Posner, E. C. (1957). Derivations in prime rings. Proc. Amer. Math. Soc. 8:1093–1100. DOI: 10.1090/S0002-9939-1957-0095863-0.
   Google Scholar
• Wani, B. A., Ashraf, M., Akhtar, M. S. (2021). Multiplicative *-Lie type higher derivations of standard operator algebras. Commun. Algebra 49:3777–3797. DOI: 10.1080/00927872.2021.1906266.
   Web of Science ®Google Scholar
• Yu, W., Zhang, J. (2010). Nonlinear Lie derivations of triangular algebras. Linear Algebra Appl. 432:2953–2960. DOI: 10.1016/j.laa.2009.12.042.
   Web of Science ®Google Scholar
• Zhao, F., Li, C. (2018). Nonlinear *-Jordan triple derivations on von Neumann algebras. Math. Slovaca 68:163–170. DOI: 10.1515/ms-2017-0089.
   Web of Science ®Google Scholar
• Zhou, Y., Yang, Z., Zhang, J. (2019). Nonlinear mixed Lie triple derivations on prime *-algebras. Commun. Algebra 47:4791–4796.
   Web of Science ®Google Scholar