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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (66), 2011/

On some operations in the lattice of submodules determined by preradicals

Authors: A. I. Kashu

Abstract

In the lattice L(RM) of all submodules of a module RM four operations are defined using the standard preradicals: α-product, ω-product, α-coproduct and ω-coproduct. Some properties of these operations, as well as some connections with the lattice operations of L(RM) are indicated. For characteristic submodules these operations were studied in the work [5].

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