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Assume that A contains a nontrivial symmetric idempotent and phi : A -> A is a nonlinear surjective map. We prove that if phi preserves strong skew commutativity, then phi (A) = ZA + f (A) for all A is an element of A, where Z is an element of Z(s)(A) satisfies Z(2) = I and f is a map from A into Z(s)(A). 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Appl., 397, pp. 362-370 ;\n Šemrl, P., On Jordan ∗-derivations and an application (1990) Colloq. Math., 59, pp. 241-251 ;\n Šemrl, P., Quadratic functionals and Jordan ∗-derivations (1991) Studia Math., 97, pp. 157-265 ;\n Šemrl, P., Quadratic and quasi-quadratic functionals (1993) Proc. Amer. Math. Soc., 119, pp. 1105-1113 ;\n Šemrl, P., Jordan ∗-derivations of standard operator algebras (1994) Proc. Amer. Math. Soc., 120, pp. 515-519", "hasCitationDuplums" : false, "userChangeableUntil" : "2016-11-13T09:20:46.000+0000", "publishDate" : "2016-08-15T08:20:46.000+0000", "directInstitutesForSort" : "", "ownerAuthorCount" : 1, "ownerInstituteCount" : 13, "directInstituteCount" : 0, "authorCount" : 1, "contributorCount" : 0, "hasQualityFactor" : true, "link" : "/api/publication/25983633", "label" : "Liu L. STRONG SKEW COMMUTATIVITY PRESERVING MAPS ON RINGS. (2016) JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY 1446-7887 1446-8107 100 1 78-85", "template" : "