A NOTE ON 1-COAXER LATTICES

Abstract This paper investigates coaxer ideals within 1-distributive lattices and introduces the concept of 1-coaxer lattices. The study explores characterizations of coaxer ideals and establishes foundational properties of 1-coaxer lattices. Through an analysis of pseudocomplemented 1-distributive lattices, it provides a structured understanding of coaxer ideals, minimal and maximal ideals, and their interrelations. 2010 Mathematics Subject Classification: 06A12, 06A99, 06B10.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-02-10
DOI
https://doi.org/10.5281/zenodo.14842649
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00
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article

A NOTE ON 1-COAXER LATTICES

Zenodo (CERN European Organization for Nuclear Research)
Advanced Algebra and Logic
article

A NOTE ON 1-COAXER LATTICES

article en

Abstract

Abstract This paper investigates coaxer ideals within 1-distributive lattices and introduces the concept of 1-coaxer lattices. The study explores characterizations of coaxer ideals and establishes foundational properties of 1-coaxer lattices. Through an analysis of pseudocomplemented 1-distributive lattices, it provides a structured understanding of coaxer ideals, minimal and maximal ideals, and their interrelations. 2010 Mathematics Subject Classification: 06A12, 06A99, 06B10.

Zenodo (CERN European Organization for Nuclear Research)
Shahjalal University of Science and Technology (BD)
Openalex Percentile: Top 59%
Advanced Algebra and Logic
DOIOpen Access PDFOpenAlex
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A NOTE ON 1-COAXER LATTICES · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS