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In 5 2 several results on strongly prime rings are extended to quasi-projective strongly prime modules. In 3 3 not necessarily associative rings are considered as modules over their multiplication rings M (A) and the preceding results are applies to this situation. Interpreting the central closure of a prime ring A as the A-injective hull cf the M (A)-nodule A (see TJisbauer [101, 5 4), it is shown that A is a strongly prime N (A)-module if an? only if f! is a simple ring. Yoreover, we find that all the primeness conditions cf 1 are equi-