Centrally-extended generalized Jordan derivations in rings

Authors

  • Bharat Bhushan 1 Chitkara University Institute of Engineering and Technology, Chitkara University
  • Gurninder S. Sandhu Department of Mathematics, Patel Memorial National College
  • Deepak Kumar Department of Mathematics, Punjabi University

Keywords:

Associative rings, involution, generalized Jordan derivation, centrally extended generalized Jordan derivation

Abstract

In this article, we introduce the notion of centrally-extended generalized Jordan derivations and characterize the structure of a prime ring (resp. *-prime ring) R that admits a centrally-extended generalized Jordan derivation F satisfying [F(x), x] ∈ Z(R) (resp. [F(x), x*] ∈ Z(R)) for all x ∈ R.

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Published

2023-05-26

How to Cite

Bhushan, B., Sandhu, G. S., & Kumar, D. (2023). Centrally-extended generalized Jordan derivations in rings. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 22, 33–47. Retrieved from https://studmath.up.krakow.pl/article/view/10334

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