Geodesic
Decomposable Filters of Lattices
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 1, p. 59 .

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In this paper, we introduce and investigate the latticial counterpart of the filter-theoretical concepts of prime, second and irreducible. In a manner analogous to modules over a commutative ring, the main purpose of this paper is to investigate $L$-prime filters, $L$-second filters, meet-irreducible filters and special decomposable filters of lattices.
Classification : 06B35
Keywords: lattice, filter, meet-irreducible, $L$-second, $L$-prime 
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S. Ebrahimi Atani; M. Sedghi Shanbeh Bazari. Decomposable Filters of Lattices. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 1, p. 59 . http://geodesic.mathdoc.fr/item/KJM_2019_43_1_a5/