Paradistributive Latticoids
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Published:2024-04-30
Issue:2
Volume:17
Page:819-834
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ISSN:1307-5543
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Container-title:European Journal of Pure and Applied Mathematics
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language:
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Short-container-title:Eur. J. Pure Appl. Math.
Author:
Bandaru RavikumarORCID,
Ajjarapu Suryavardhani
Abstract
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.
Publisher
New York Business Global LLC