@article {
author = {Tavakoli, Ali and Abdollahi, Alireza and Bell, Howard E.},
title = {Rings with a setwise polynomial-like condition},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {38},
number = {2},
pages = {305-311},
year = {2012},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Let $R$ be an infinite ring. Here we prove that if $0_R$ belongs to ${x_1x_2cdots x_n ;|; x_1,x_2,dots,x_nin X}$ for every infinite subset $X$ of $R$, then $R$ satisfies the polynomial identity $x^n=0$. Also we prove that if $0_R$ belongs to ${x_1x_2cdots x_n-x_{n+1} ;|; x_1,x_2,dots,x_n,x_{n+1}in X}$ for every infinite subset $X$ of $R$, then $x^n=x$ for all $xin R$.},
keywords = {Primitive rings,Polynomial identities,Combinatorial conditions},
url = {http://bims.iranjournals.ir/article_231.html},
eprint = {http://bims.iranjournals.ir/article_231_c96d633637c016b61c15d2693daeeffb.pdf}
}