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ABSTRACT We study bi-additive maps of ξ-Lie product type satisfying certain local property from the viewpoint of functional identities. Let R be a unital prime ring with extended centroid C,… Click to show full abstract
ABSTRACT We study bi-additive maps of ξ-Lie product type satisfying certain local property from the viewpoint of functional identities. Let R be a unital prime ring with extended centroid C, ξ∈C, and maximal left ring of quotients Qml(R). Suppose that R contains a nontrivial idempotent. We completely characterize additive maps ϕ:R→Qml(R) having the property that whenever x,y∈R satisfy xy = 0 = yx. As consequences, some known results are fully generalized.
Keywords:
maps lie;
product type;
lie product;
additive maps
Journal Title: Communications in Algebra
Year Published: 2017
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Journal Title: Communications in Algebra
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!