Further, if S is a semiprime ring, then every maximal kernel of M is a direct summand of M.
进一步,如果S是半素环,那么M的每个极大核是M的一个直和项。
Our result is Theorem 1 Let R be a ring such that zero divisors commute. Then R is nonsingular if and only if R is semiprime.
我们的结果是定理1 设R 是零因子可换环,那末R 是非奇异的当且仅当R 是半素的。
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