Tanise Carnieri Pierin, Ruth Nascimento Ferreira, Fernando Borges, Bruno Leonardo Macedo Ferreira
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About the additivity of a nonlinear mixed \(*\)-Jordan type derivation defined on an alternative \(*\)-algebra
For an alternative \(*\)-algebra A under some additional hypothesis, we prove that a map from A into itself is a nonlinear mixed \(*\)-Jordan type derivation if and only is an additive \(*\)-derivation. As consequence, some results on the complex octonion algebra, associative \(*\)-algebras, and \(W^*\)-factor algebras were obtained.
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