中文摘要：

在双边Noether环R上定义了有限生成R-模的强Gorenstein-转置,研究了有限生成R-模的转置和强Gorenstein-转置之间的关系,证明了一个有限生成R-模的强Gorenstein-转置是另一个有限生成R-模的转置.

英文摘要：

Over a left and right noetherian ring, the notion of the strong Gorenstein transpose of finitely generated modules is introduced,and a relation between a strong Gorenstein-transpose of a finitely generated module with a transpose of the same module is investigated. In addition,it is proved that a strong Gorenstein transpose of a finitely generated module is a transpose of the other finitely generated module.