Abstract
Let $R$ be a prime ring with nontrivial idempotents. Assume $\ast$ is an involution of $R$. In this note we characterize the additive map $\delta \colon R \to R$ such that $\delta(x) y^\ast + x \delta(y)^\ast = 0$ whenever $xy^\ast = 0$ and $\phi \colon R \to R$ such that $\phi(x) \phi(y)^\ast = 0$ whenever $xy^\ast = 0$.
Citation
Hung-Yuan Chen. Kun-Shan Liu. Muzibur Rahman Mozumder. "MAPS ACTING ON SOME ZERO PRODUCTS." Taiwanese J. Math. 18 (1) 257 - 264, 2014. https://doi.org/10.11650/tjm.18.2014.2476
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