Amicable Sets in Paradistributive Latticoids

Authors

  • Ramesh Sirisetti Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam, Andhra Pradesh-530045, India
  • Jogarao Gunda Department of BS & H, Aditya Institute of Technology and Management, Tekkali, Srikakulam, Andhra Pradesh-530021, India
  • Ravi Kumar Bandaru Department of Mathematics, School of Advanced Sciences, VIT-AP University, Andhra Pradesh, India
  • Thiti Gaketem Department of Mathematics, School of Science, University of Phayao, Phayao 56000 https://orcid.org/0000-0002-6267-8517

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6418

Keywords:

Paradistributive latticoids, copatible sets, maximal set, amicable sets, relatively complemented paradistributive latticoids

Abstract

In this work, we introduce maximal sets and amicable sets in a paradistributive latticoid. We present a few number of examples and counter-examples for them, prove some algebraic properties on them. Also, we define center of a paradistributive latticoid and prove that it is equal to the intersection of all maximal sets. Finally, we obtain some necessary and sufficient conditions for a paradistributive latticoid to become relatively complemented.

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Algebra

License

Copyright (c) 2025 Ramesh Sirisetti, Jogarao Gunda, Ravi Kumar Bandaru, Thiti Gaketem

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How to Cite

Amicable Sets in Paradistributive Latticoids. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6418. https://doi.org/10.29020/nybg.ejpam.v18i4.6418