Prime and Maximal Spectra of Almost Distributive Lattices and 0 - Distributive Lattices

Authors

  • S. S. Khopade Karmaveer Hire Arts, Science, Commerce and Education College, Gargoti, Maharashtra, Pin- 416209, India
  • S. P. Thorat Vivekanand College (Empowered Autonomous), Kolhapur, Maharashtra, Pin- 416003, India

DOI:

https://doi.org/10.3329/jsr.v17i3.74847

Abstract

The present research work attempts to bring together the two different algebraic structures namely almost distributive lattice (ADL) and 0-distributive lattice with the help of a special mapping which leads us to significant results. A surjection from an ADL with the least element and maximal element to a bounded 0-distributive lattice satisfying certain conditions is defined and studied. It is proved that this mapping induces a homeomorphism between their prime and maximal spectra.

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Published

2025-09-01

How to Cite

Khopade, S. S., & Thorat, S. P. (2025). Prime and Maximal Spectra of Almost Distributive Lattices and 0 - Distributive Lattices. Journal of Scientific Research, 17(3), 695–701. https://doi.org/10.3329/jsr.v17i3.74847

Issue

Vol. 17 No. 3 (2025)

Section

Section A: Physical and Mathematical Sciences

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.