Paradistributive Latticoids
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i2.5125Keywords:
Paradistributive Latticoid(PDL), Ideal, Filter, subdirectly irreducibleAbstract
In this paper, the concept of Paradistributive Latticoid (PDL) as a generalization of a distributive lattice is introduced and investigated its properties. A set of equivalent conditions for a PDL to become a distributive lattice are given. The notions of an ideal and a filter in a PDL are introduced and studied their properties. Subdirect representation of a PDL is obtained.
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