So I know that in general, for the ring of ##n \times n## matrices, if ##AB = 0##, then it is not necessarily true that ##A=0## or ##B=0##. However, in other rings, for example the integers ##\mathbb{Z}##, I know that this statement is true. So what property is the ring of matrices lacking such that it is not true in general?(adsbygoogle = window.adsbygoogle || []).push({});

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# I Distinctiveness of the set of nxn matrices as a ring

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