Geodesic
Generalized prime $D$-filters of distributive lattices
Archivum mathematicum, Tome 57 (2021) no. 3, pp. 157-174

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The concept of generalized prime $D$-filters is introduced in distributive lattices. Generalized prime $D$-filters are characterized in terms of principal filters and ideals. The notion of generalized minimal prime $D$-filters is introduced in distributive lattices and properties of minimal prime $D$-filters are then studied with respect to congruences. Some topological properties of the space of all prime $D$-filters of a distributive lattice are also studied.
DOI : 10.5817/AM2021-3-157
Classification : 06D99
Keywords: dense element; filter; $D$-filter; prime $D$-filter; congruence; Hausdorff space 
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Phaneendra Kumar, A.P.; Sambasiva Rao, M.; Sobhan Babu, K. Generalized prime $D$-filters of distributive lattices. Archivum mathematicum, Tome 57 (2021) no. 3, pp. 157-174. doi: 10.5817/AM2021-3-157

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