Turkish Journal of Mathematics
DOI
-
Abstract
In the present paper, it is shown that if $R$ is a left ( resp. right) $s$-unital ring satisfying $[f(y^mx^ry^s) \pm x^ty, x] = 0$ (resp. $[f(y^mx^ry^s) \pm yx^t, x] = 0),$ where $m, r, s, t$ are fixed non-negative integers and $f(\lambda)$ is a polynomial in ${\lambda}^2{\bf Z}[\lambda],$ 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.
First Page
165
Last Page
172
Recommended Citation
KHAN, MOHARRAM A. (2000) "Some Commutativity Results for S -unital Rings," Turkish Journal of Mathematics: Vol. 24: No. 2, Article 4. Available at: https://journals.tubitak.gov.tr/math/vol24/iss2/4
