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Furthermore, if $R$ has characteristic zero then we prove that the elementary theory $Th(L)$ of $L$ in the standard ring language is undecidable. To do so we show that the arithmetic ${\\bf N} = \\langle{\\bf N}, +,\\cdot,0 \\rangle$ is 0-interpretable in $L$. This implies that the theory of $Th(L)$ has the independence property. 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