标题：Commutativity of one sided <mml:math alttext="$s$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>s</mml:mi></mml:math>-unital rings through a Streb's result
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1997
卷号：20
DOI：10.1155/S0161171297000367
出版社：Hindawi Publishing Corporation
摘要：The main theorem proved in the present paper states as follows “Let m, k, n and s be
fixed non-negative integers such that k and n are not simultaneously equal to 1 and R be a left
(resp right) s-unital ring satisfying [(xmyk)n−xsy,x]=0 (resp [(xmyk)n−yxs,x]=0) Then R is
commutative.” Further commutativity of left s-unital rings satisfying the condition xt[xm,y]−yr[x,f(y)]xs=0 where f(t)∈t2Z[t] and m>0,t,r and s are fixed non-negative integers, has been
investigated Finally, we extend these results to the case when integral exponents in the underlying
conditions are no longer fixed, rather they depend on the pair of ring elements x and y for their values.
These results generalize a number of commutativity theorems established recently.
