中文摘要：

引入了比强α-可逆环更广的两类环：强（M-）α-自反环,并研究了它们的性质。证明了强α-自反环是强α-可逆环的真推广。讨论了强（M-）α-自反环的扩张,得到了它们的一些性质。

英文摘要：

The notions of strongly（ M-） α-reflexive rings are introduced which are a general version of stronglyα-revesible rings,and investigate their properties. It is showthat strongly α-revesible rings are strongly α-reflexive rings,but the converse is not true. And argue about the strongly（ M-） α-reflexivity of some kinds of extensions. A number of properties of these versions are established.