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IMI/Publicaţii/BASM/Ediţii/BASM n.2(84), 2017/

On the inverse operations in the class of preradicals of a module category, II

Authors: Ion Jardan

Abstract

In the present work a new operation, called left coquotient with respect to meet, in the class of preradicals $\,\mathbb P \mathbb R\,$ of the category $R$-Mod of left $R$-modules is defined and investigated. It is dual to the studied earlier left quotient with respect to join [2]. Main properties of this operation and relations with lattice operations in $\,\mathbb P \mathbb R\,$ are shown. Connections with some constructions in the large complete lattice $\,\mathbb P \mathbb R\,$ are studied and some particular cases are mentioned.

Technical University of Moldova
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
E-mail: ,

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