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Research articles

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

Ion Jardan<sup>ab

a</sup> Technical University of Moldova
^b Institute of Mathematics and Computer Science, Academy of Sciences of Moldova

Abstract: In the present work a new operation, called left coquotient with respect to meet, in the class of preradicals $\mathbb{PR}$ 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 $\mathbb{PR}$ are shown. Connections with some constructions in the large complete lattice $\mathbb{PR}$ are studied and some particular cases are mentioned.

Keywords and phrases: ring, module, lattice, preradical, join, meet, coproduct, left coquotient.

MSC: 16D90, 16S90

Received: 20.04.2017

Language: English

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