The objective of this research paper is to prove that an additive mapping T from a semiprime ring R to itself will be centralizer having a suitable torsion restriction on R if it satisfy any one of the following algebraic equations (a) 2T(x<sup>...
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https://www.riss.kr/link?id=A108216076
2022
English
학술저널
99-105(7쪽)
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
The objective of this research paper is to prove that an additive mapping T from a semiprime ring R to itself will be centralizer having a suitable torsion restriction on R if it satisfy any one of the following algebraic equations (a) 2T(x<sup>...
The objective of this research paper is to prove that an additive mapping T from a semiprime ring R to itself will be centralizer having a suitable torsion restriction on R if it satisfy any one of the following algebraic equations (a) 2T(x<sup>n</sup>y<sup>n</sup>x<sup>n</sup>) = T(x<sup>n</sup>)y<sup>n</sup>x<sup>n</sup> + x<sup>n</sup>y<sup>n</sup>T(x<sup>n</sup>) (b) 3T(x<sup>n</sup>y<sup>n</sup>x<sup>n</sup>) = T(x<sup>n</sup>)y<sup>n</sup>x<sup>n</sup>+x<sup>n</sup>T(y<sup>n</sup>)x<sup>n</sup>+x<sup>n</sup>y<sup>n</sup>T(x<sup>n</sup>) for every x, y ∈ R. Further, few extensions of these results are also presented in the framework of *-ring.
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