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