Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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SEMIPRIME RINGS WITH INVOLUTION AND CENTRALIZERS

  • ANSARI, ABU ZAID (Department of Mathematics, Faculty of Science, Islamic University of Madinah) ;
  • SHUJAT, FAIZA (Department of Mathematics, Faculty of Science, Taibah University)
  • 투고 : 2021.08.11
  • 심사 : 2022.02.08
  • 발행 : 2022.05.30
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초록

The objective of this research is to prove that an additive mapping T : R → R is a left as well as right centralizer on R if it satisfies any one of the following identities: (i) T(xnyn + ynxn) = T(xn)yn + ynT(xn) (ii) 2T(xnyn) = T(xn)yn + ynT(xn) for each x, y ∈ R, where n ≥ 1 is a fixed integer and R is any n!-torsion free semiprime ring. In addition, we talk over above identities in the setting of *-ring(ring with involution).

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과제정보

The authors of the paper extend their sincere gratitude to the Deanship of Scientific Research at the Islamic University of Madinah for the support provided to the Post-Publishing Program 1.

참고문헌

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