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Abstract The main goal of this paper is to characterize Jordan two-sided centralizers, Jordan centralizers and related maps on triangular rings without identity. As an application of our main theorem,… Click to show full abstract
Abstract The main goal of this paper is to characterize Jordan two-sided centralizers, Jordan centralizers and related maps on triangular rings without identity. As an application of our main theorem, we characterize Jordan generalized derivations on triangular rings. Precisely, we prove that every Jordan generalized derivation on a triangular ring is a two-sided generalized derivation. As consequences, and apart from proving the other results, many known theorems can be either generalized or deduced.
Keywords:
triangular rings;
sided centralizers;
centralizers related;
jordan two;
two sided
Journal Title: Georgian Mathematical Journal
Year Published: 2023
Link to full text (if available)
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Journal Title: Georgian Mathematical Journal
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!