文章基本信息

标题：On 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
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作者：H. A. S. Abujabal ; M. A. Khan
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：1992
卷号：15
DOI：10.1155/S0161171292001078
出版社：Hindawi Publishing Corporation
摘要：The following theorem is proved: Let r=r(y)>1, s, and t be non-negative integers. If R is a left s-unital ring satisfies the polynomial identity [xy−xsyrxt,x]=0 for every x,y∈R, then R is commutative. The commutativity of a right s-unital ring satisfying the polynomial identity [xy−yrxt,x]=0 for all x,y∈R, is also proved.