Quasi-Primary Decomposition in Modules Over Proufer Domains

Abstract

In this paper we investigate decompositions of submodules in modules over a Proufer domain into intersections of quasi-primary and classical quasi-primary submodules. In particular, existence and uniqueness of quasi-primary decompositions in modules over a Proufer domain of finite character are proved. Proufer domain; primary submodule; quasi-primary submodule; classical quasi-primary; decomposition.

Keywords

• Proufer domain
• primary submodule
• quasi-primary submodule
• classical quasi-primary
• Decomposition