Some Commutativity Results for S -unital Rings
Authors : Moharram A. Khan
Pages : 165-172
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In the present paper, it is shown that if R is a left ( resp. right) s-unital ring satisfying [f(ymxrys) \pm xty, x] = 0 (resp. [f(ymxrys) \pm yxt, x] = 0), where m, r, s, t are fixed non-negative integers and f(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.