Quasi-primary submodules satisfying the primeful property II

Authors : Hosein Fazaeli MOGHİMİ, Mahdi SAMİEİ

Pages : 801-811

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Publication Date : 2015-08-01

Article Type : Research Paper

Abstract :In this paper we continue our study about quasi-primary submodules insert ignore into journalissuearticles values(probably satisfying the primeful property);, that was defined and studied in Part I insert ignore into journalissuearticles values(see [8]);. We define a quasi-primary decomposition for submodules of a module over a commutative ring with identity and study various types of the corresponding minimal forms. In particular, we discuss these decompositions for submodules of multiplication modules and also arbitrary modules over Noetherian rings. 
Keywords : Quasi primary submodule, Primeful property, Radical of a sub module, Multiplication module, Reduced quasi primary decomposition, Module reduced quasi primary decomposition, Shortest quasi primary decomposition