Title of article :
Centralizers With Nilpotent Values
Author/Authors :
majeed, abdul- rahman h. baghdad university - college of science - department of mathematics, Iraq , shalal, faten adel baghdad university - college of science - department of mathematics, Iraq
Abstract :
In this paper , it is shown that if 𝑅 is a semiprime ring and 𝑇 a centralizer of 𝑅 such that 𝑇 𝑥 𝑛 = 0 for all 𝑥∈𝑅 , where 𝑛≥1 is a fixed integer then 𝑇 = 0.
Keywords :
semiprime ring , prime ring , derivation , left (right) centralizer , centralizer , Jordan centralizer
Journal title :
Iraqi Journal Of Science
Journal title :
Iraqi Journal Of Science
