Geodesic
On some operations in the lattice of submodules determined by preradicals
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2011), pp. 5-16

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In the lattice $\boldsymbol L(_RM)$ of all submodules of a module $_RM$ four operations are defined using the standard preradicals: $\alpha$-product, $\omega$-product, $\alpha$-coproduct and $\omega$-coproduct. Some properties of these operations, as well as some connections with the lattice operations of $\boldsymbol L(_RM)$ are indicated. For characteristic submodules these operations were studied in the work [5]. 
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     author = {A. I. Kashu},
     title = {On some operations in the lattice of submodules determined by preradicals},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {5--16},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/BASM_2011_2_a0/}
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A. I. Kashu. On some operations in the lattice of submodules determined by preradicals. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2011), pp. 5-16. http://geodesic.mathdoc.fr/item/BASM_2011_2_a0/