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: ,
Fulltext
–
0.13 Mb