Normal Paradistributive Latticoids

Authors

  • Ravikumar Bandaru Department of Mathematics, School of Advanced Sciences, VIT-AP University, Andhra Pradesh-522237, India
  • Prashant Patel Department of Mathematics, School of Advanced Sciences, VIT-AP University, Andhra Pradesh-522237, India
  • Noorbhasha Rafi Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh-522101, India
  • Rahul Shukla Walter Sisulu University, South Africa
  • Suryavardhani Ajjarapu Department of Mathematics, GITAM Deemed to be University, Hyderabad Campus, Telangana-502329, India

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i2.5127

Keywords:

Paradistributive Latticoid, Minimal element, Filter

Abstract

For any filter $\LomP$ of a paradistributive latticoid, $\LomO(\LomP)$ is defined and it is proved that $\LomO(\LomP)$ is a filter if $\LomP$ is prime. It is also proved that each minimal prime filter belonging to $\LomO(\LomP)$ is contained in $\LomP$, and $\LomO(\LomP)$ is the intersection of all the minimal prime filters contained in $\LomP$. The concept of a normal paradistributive latticoid is introduced and characterized in terms of the prime filters and minimal prime filters. We proved that every relatively complemented paradistributive latticoid is normal.

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Published

2024-04-30

Issue

Vol. 17 No. 2: (April 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

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How to Cite

Normal Paradistributive Latticoids. (2024). European Journal of Pure and Applied Mathematics, 17(2), 1306-1320. https://doi.org/10.29020/nybg.ejpam.v17i2.5127