| In this paper,Firstly,we mainly introduce the concepts of χ-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 χ-strongly n-Gorenstein projective and flat properties of three modules in a short exact sequence and prove that: χ-Gorenstein projective(flat)dimension of module M does not exceed nif and only if M is direct summand of a χ-strongly n-Gorenstein projective(flat)module.Finally,we consider this properties of modules in localizable and polynomial ring. |
PDF Full Text Request