Some Commutativity Results for S -unital Rings

Authors : Moharram A. KHAN

Pages : 165-172

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In the present paper, it is shown that if R is a left insert ignore into journalissuearticles values( resp. right); s-unital ring satisfying [finsert ignore into journalissuearticles values(ymxrys); \pm xty, x] = 0 insert ignore into journalissuearticles values(resp. [finsert ignore into journalissuearticles values(ymxrys); \pm yxt, x] = 0);, where m, r, s, t are fixed non-negative integers and finsert ignore into journalissuearticles values(l); is a polynomial in {l}2{\bf Z}[l], then R is commutative. Commutativity of R has also been investigated under different sets of constraints on integral exponents.
Keywords : Automorphisms, commutativity theorems, nilpotent elements, polynomial constraints, s unital rings