The Strict Mittag-leffler Module With Respect To The Class Of Modules

In this paper,we mainly study some homological properties of the strict Mittag-Leffler modules with respect to the class of modules.We first consider strict Mittag-Leffler modules on Gorenstein homological modules and prove that if R is a left Noether ring,the character modules of Gorenstein injective modules are Gorenstein flat modules and ~?GL is closed under direct products,then GL(?)SML(~?GL);Secondly,we consider the strict Mittag-Leffler modules on Ding homological modules,it is proved that the relationship between DP and DL is demonstrated on the Ding-Chen rings;Finally,we consider the relationship between Ding homological modules and trivial modules.