Abstract
A ring $R$ is called strongly reversible, if whenever polynomials $f(x),$ $g(x)$ in $R[x]$ satisfy $f(x)g(x)=0$, then $g(x)f(x)=0$. It is proved that a ring $R$ is strongly reversible if and only if its polynomial ring $R[x]$ is strongly reversible if and only if its Laurent polynomial ring $R[x,x^{-1}]$ is strongly reversible. We also show that for a right Ore ring $R$ with $Q$ its classical right quotient ring, $R$ is strongly reversible if and only if $Q$ is strongly reversible.
Citation
Gang Yang. Zhong-Kui Liu. "ON STRONGLY REVERSIBLE RINGS." Taiwanese J. Math. 12 (1) 129 - 136, 2008. https://doi.org/10.11650/twjm/1500602492
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