@article{Ansari2023, 
author = {Abu Zaid Ansari and Faiza Shujat and Ahlam Fallatah},
title = {Generalized differential identities on prime rings and algebras},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {10},
pages = {22758-22765},
keywords = {prime ring, derivation, generalized derivation, differential identities, Banach algebra},
url = {https://www.sciopen.com/article/10.3934/math.20231159},
doi = {10.3934/math.20231159},
abstract = {The goal of this study is to bring out the following conclusion. Let    R be a noncommutative prime ring with    2  (  m  +  n  )  ! torsion freeness and let    m and    n be fixed, non-negative integers and    d  ,  g be Jordan derivations on    R. If        x          m      +      n        d  (  x  )  +      x    m    g  (  x  )      x    n    ∈  Z  (  R  ) or    d  (  x  )      x          m      +      n        +      x    m    g  (  x  )      x    n    ∈  Z  (  R  ) or        x          n        d  (  x  )      x          m        +      x    m    g  (  x  )      x    n    ∈  Z  (  R  ) then    d  =  g  =  0 follows for every    x  ∈  R.}
}