Geodesic
Coaxial filters of distributive lattices
Archivum mathematicum, Tome 59 (2023) no. 5, pp. 397-409 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Coaxial filters and strongly coaxial filters are introduced in distributive lattices and some characterization theorems of $pm$-lattices are given in terms of co-annihilators. Some properties of coaxial filters of distributive lattices are studied. The concept of normal prime filters is introduced and certain properties of coaxial filters are investigated. Some equivalent conditions are derived for the class of all strongly coaxial filters to become a sublattice of the filter lattice.
Coaxial filters and strongly coaxial filters are introduced in distributive lattices and some characterization theorems of $pm$-lattices are given in terms of co-annihilators. Some properties of coaxial filters of distributive lattices are studied. The concept of normal prime filters is introduced and certain properties of coaxial filters are investigated. Some equivalent conditions are derived for the class of all strongly coaxial filters to become a sublattice of the filter lattice.
DOI : 10.5817/AM2023-5-397
Classification : 06D99
Keywords: filter; co-annihilator; coaxial filter; strongly coaxial filter; $pm$-lattice; normal prime filter 
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Sambasiva Rao, M. Coaxial filters of distributive lattices. Archivum mathematicum, Tome 59 (2023) no. 5, pp. 397-409. doi: 10.5817/AM2023-5-397

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