Abstract
In [1] we defined the Brown—McCoy radical,B(M), of aΓ-ringM. In this note we show thatB is a special radical. The simplicial radical, defined by Kyuno [4] forΓ-rings with left and right unities, is extended to arbitraryΓ-rings. The simplicial radicalS is shown to be a generalization of the Brown—McCoy radical of a ring. In general,B(M) ≠ S(M).
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