quasi-primary decomposition in modules over proufer domains

Authors

mahmood behboodi

reza jahani-nezhad

mohammad hasan naderi

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.

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Journal title:
journal of algebraic systems

Publisher: shahrood university of technology

ISSN 2345-5128

volume 1

issue 2 2014

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