Moreover, it is extend the Morita-Like equivalence chain for intermediate matrix rings[2], and improve the main results obtained by Garcia and marin[1]

• 如此；扩张了中间矩阵环的Morita-Like等价链[2].；再则；改进了文[1]中的主要结果；刻画了一个右XST-环Morita-Like等价于一个有单位元的环的条件