Geodesic
Supplemented property in the lattices
Serdica Mathematical Journal, Tome 46 (2020) no. 1, pp. 73-88.

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Let \(L\) be a lattice with the greatest element 1. In a manner analogous to a module over a ring, we introduce (amply) supplemented filters of \(L\). The basic properties and possible structures of such filters are investigated.
Keywords: lattices, supplemented filters, amply supplemented filters, hollow filter, 06C05, 06C15 
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Ebrahimi Atani, Shahabaddin; Chenari, Maryam. Supplemented property in the lattices. Serdica Mathematical Journal, Tome 46 (2020) no. 1, pp. 73-88. http://geodesic.mathdoc.fr/item/SMJ2_2020_46_1_a5/