Quasi-primary submodules satisfying the primeful property II

Abstract

In this paper we continue our study about quasi-primary submodules (probably satisfying the primeful property), that was defined and studied in Part I (see [8]). We define a quasi-primary decomposition for submodules of a module over a commutative ring with identity and study various types of the corresponding minimal forms. In particular, we discuss these decompositions for submodules of multiplication modules and also arbitrary modules over Noetherian rings. 

Keywords

• Quasi-primary submodule,Primeful property,Radical of a sub- module,Multiplication module,Reduced quasi-primary decomposition,Module- reduced quasi-primary decomposition,Shortest quasi-primary decomposition

References

1. .