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Generalized prime D -filters of distributive lattices

A.P. Phaneendra Kumar;  M. Sambasiva Rao;  K. Sobhan Babu — 2021

Archivum Mathematicum

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.

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