Geodesic
On the inverse operations in the class of preradicals of a~module category,~I
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2017), pp. 57-66

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In the class $\mathbb{PR}$ of preradicals of the category of left $R$-modules $R$-Mod a new operation is defined and studied, namely the left quotient with respect to join. Some properties of this operation are shown, its compatibility with the lattice operations of $\mathbb{PR}$ (meet and join of preradicals), as well as the relations with some constructions in the “big” lattice $\mathbb{PR}$. Also some particular cases are examined. 
@article{BASM_2017_1_a5,
     author = {Ion Jardan},
     title = {On the inverse operations in the class of preradicals of a~module {category,~I}},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {57--66},
     publisher = {mathdoc},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2017_1_a5/}
}
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Ion Jardan. On the inverse operations in the class of preradicals of a~module category,~I. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2017), pp. 57-66. http://geodesic.mathdoc.fr/item/BASM_2017_1_a5/