Quasi-Primary Decomposition in Modules Over Proufer Domains

نویسندگان
Behboodi, M. ID 1
Naderi, M. H. ID 2
Jahani-Nezhad, R. ID 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 Qom, Qom, Iran.

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

doi
10.22044/jas.2014.233
چکیده

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. 

کلیدواژه‌ها
Proufer domain, primary submodule, quasi-primary submodule, classical quasi-primary, Decomposition