Coherent ideals of 1-distributive lattices

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DOI:

https://doi.org/10.26637/mjm1301/007

Abstract

In this paper, we study coherent ideals of pseudocomplemented 1-distributive lattices. We give a set of conditions for an ideal to be a coherent ideal. We also prove some conditions for a pseudocomplemented 1-distributive lattice to be weakly Stone lattice.

Keywords:

Lattices, 1-distributive lattices, pseudocomplemented lattices, ideal, filter

Mathematics Subject Classification:

06A12, 06A99, 06B10
  • Chandrani Nag Department of Mathematics, Shahjalal University of Science and Technology, Sylhet-3114, Bangladesh.
  • Pages: 54-62
  • Date Published: 01-01-2025
  • Vol. 13 No. 01 (2025): Malaya Journal of Matematik (MJM)

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Published

01-01-2025

How to Cite

Nag, C. “Coherent Ideals of 1-Distributive Lattices”. Malaya Journal of Matematik, vol. 13, no. 01, Jan. 2025, pp. 54-62, doi:10.26637/mjm1301/007.

Issue

Vol. 13 No. 01 (2025): Malaya Journal of Matematik (MJM)

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Articles

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Copyright (c) 2025 Chandrani Nag

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

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