Geodesic
On natural classes of $R$-modules in the language of ring~$R$
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2004), pp. 95-101

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Every natural class of left $R$-modules is closed, i.e. is completely described by special set of left ideals of $R$ (natural set). Some characterizations of such sets are shown. The complementation operator of sets is defined and its properties permit to transfer some results on natural classes to the lattice of left ideals of $R$. 
@article{BASM_2004_2_a9,
     author = {A. I. Kashu},
     title = {On natural classes of $R$-modules in the language of ring~$R$},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {95--101},
     publisher = {mathdoc},
     number = {2},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2004_2_a9/}
}
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A. I. Kashu. On natural classes of $R$-modules in the language of ring~$R$. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2004), pp. 95-101. http://geodesic.mathdoc.fr/item/BASM_2004_2_a9/