Weakly Quasi-Primary K- Modules

Important areas for study in the field of modules include prime modules .There has already been an introduction  to the idea of quasi-prime modules .Our focus recently  has been on weakly quasi-prime modules as a means for investigating one of these generalizations .The main objective of this work is to introduce a new type of module , namely weakly quasi-primary K-modules . A module D whenever 〖ann〗_K D=√(〖ann〗_K  r D)For each r ∉〖ann〗_K D, is called weakly quasi-primary   K-module , which is a generalization of weakly quasi-prime K-module ,whenever  〖ann〗_K D=〖ann〗_K r D for every r∉〖ann〗_K  D , then D is weakly quasi-prime K-module . Here the author obtain some characterize of weakly quasi-primary K-modules and investigated some properties of weakly quasi-primary K-modules .We prove relationships between weakly quasi-primary K-module and other modules , like prime module, quasi-prime module , weakly quasi-prime module and primary module are study in this paper .