Аннотация:
Let $R$ be a ring and $I$ be an arbitrary right $T$-nilpotent subset of $R$. In the paper it is proved that in this case the set of all $n\times n$-matrices with entries in $I$ is a right $T$-nilpotent subset of the ring of $n\times n$-matrices with entries in $R$, where $n\in {\mathbb N}$. It is also showed that it is impossible to generalize this result for rings of matrices of infinite dimension.
Ключевые слова и фразы:$T$-nilpotent, matrix, ring.
Полный текст:
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