中文摘要：

引入了比自反环更强的2类环：强（M-）自反环，研究了其性质。给出了一个例子表明自反环不一定是强自反环。讨论了强（M-）自反环的扩张，得到了一些结论。

英文摘要：

The notions of strongly （M-）reflexive rings are introduced which are a strong version of reflexive rings, and their properties is investigated.An example is given to show that reflexive rings need not be strongly reflexive. And the strong （M-）reflexivity of some kinds of extensions is studied.A number of properties of these versions are established.