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Commuting with Higher Centralizers on Prime Rings
Abstract
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 π₯β {0}an ideal of E. If E admits a higher left (right) centralizers π π= (π π)πβπs.t.π π(π π)βπ πβ1(π π)βπ΅(E ) or π π(π π) +π πβ1(π π)βπ΅(E ), βπ ,πβπ₯. Then E is commutative