Strongly N-Gorenstein Homological Properties With Respect To The Class Of Modules ?

In this paper,Firstly,we mainly introduce the concepts of ?-strongly n-Gorenstein projective and flat modules,at the same time,some properties and the equivalent characterizations of them are given.Secondly,we discuss some connections between ?-strongly n-Gorenstein projective and flat properties of three modules in a short exact sequence and prove that: ?-Gorenstein projective(flat)dimension of module M does not exceed nif and only if M is direct summand of a ?-strongly n-Gorenstein projective(flat)module.Finally,we consider this properties of modules in localizable and polynomial ring.