Let R be an associative unital ring and not necessarily commutative.We analyze conditions under which every n × n matri......

A ring is said to satisfy the strong 2-sum property if every element is a sum of two commuting units.In this note,we pre......

证明了:若Mn(R)是一个单环,则R是单环;若R是一个有单位元的环,则Mn(R)一定是单环.并给出了主理想环I上的矩阵环Mn(I)的全部理想的......