Abstract
In this paper, we have analyzed the basic properties and related theorems of Jordan’s right derivations on semiprime -rings with their mathematical simulation. We mainly focused on the characterizations of and -torsion-free semiprime -ring by using Jordan Right Derivations. Important lemmas and theorems related to Jordan derivation on semiprime -ring have been derived here with sufficient calculations. Our main objective is to prove that if is a -torsion free semiprime -ring and , be the Jordan right derivations on provided that then . In this paper, we have analyzed the basic properties and related theorems of Jordan’s right derivations on semiprime -rings with their mathematical simulation. We mainly focused on the characterizations of and -torsion-free semiprime -ring by using Jordan Right Derivations. Important lemmas and theorems related to Jordan derivation on semiprime -ring have been derived here with sufficient calculations. Our main objective is to prove that if is a -torsion free semiprime -ring and , be the Jordan right derivations on provided that then .
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