Paradistributive Latticoids

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i2.5125

Keywords:

Paradistributive Latticoid(PDL), Ideal, Filter, subdirectly irreducible

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.

Author Biography

  • Ravikumar Bandaru, VIT-AP University, Amaravati

    Department of Mathematics

    Associate Professor Senior

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Published

2024-04-30

Issue

Section

Nonlinear Analysis

How to Cite

Paradistributive Latticoids. (2024). European Journal of Pure and Applied Mathematics, 17(2), 819-834. https://doi.org/10.29020/nybg.ejpam.v17i2.5125