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- W2024488048 abstract "Let $R$ be a prime ring and $varphi left ( {{x_i}} right )$ be a differential polynomial of $R$. It is shown that if $varphi left ( {{x_i}} right ) = 0$ holds on a nonzero two-sided ideal of $R$, then $varphi left ( {{x_i}} right ) = 0$ holds on ${R_F}$, the left Martindale quotient ring of $R$. Using this together with Kharchenkoâs theorem on differential identities, we settle three problems raised by Krempa and Matczuk in the positive." @default.
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- W2024488048 date "1990-03-01" @default.
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- W2024488048 title "On compositions of derivations of prime rings" @default.
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- W2024488048 doi "https://doi.org/10.1090/s0002-9939-1990-0998732-3" @default.
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