Salah Mehdi Salih

Commuting with Higher Centralizers on Prime Rings

The main purpose of this paper is studied the commuting on prime ring by using higher left (right) centralizers we have obtained several results that ensure a ring becomes commutative as assume 𝒥≠{0}an ideal of E. If E admits a higher left (right) centralizers 𝜅𝑛= (𝜅𝑖)𝑖∈𝑁s.t.𝜅𝑛(𝓅𝜈)–𝜅𝑛−1(𝓅𝜈)∈𝒵(E ) or 𝜅𝑛(𝓅𝜈) +𝜅𝑛−1(𝓅𝜈)∈𝒵(...