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- Fully *-prime rings with involutionPublication . Mendes, D. I. C.Some known results on fully prime rings and almost fully prime rings are extended to the category of rings with involution. In particular, various properties of fully *-prime involution rings are presented, a classification of fully *-prime involution rings which satisfy a polynomial identity is given, and almost fully *-prime involution rings are characterized. The structure of the additive groups of these involution rings is also studied.