Quasi-Primary Decomposition in Modules Over Proufer Domains

Document Type : Original Manuscript

Authors

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

Journal of Algebraic Systems
Volume 1, Issue 2 - Serial Number 2
January 2014
Pages 149-160

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