Document Type : Original Manuscript

Authors

• M. Behboodi ¹
• R. Jahani-Nezhad ²
• M. H. Naderi ³

¹ Department of Mathematical Sciences, Isfahan University of Technology, P.O.Box 84156-83111, Isfahan, Iran, and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O.Box 19395-5746, Tehran, Iran.

² Department of Mathematics, Faculty of Science, University of Kashan, Kashan, Iran.

³ Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.

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. 

Keywords

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