N-free Posets and Orthomodularity

Abstract We prove that the incomparability orthoset of a finite poset is Dacey if and only if the poset is N-free. We give a characterization of finite posets with compatible incomparability orthosets.

Authors

Institutions

Publication Details

Journal
Order
Published
2026-02-05
DOI
https://doi.org/10.1007/s11083-025-09723-y
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

N-free Posets and Orthomodularity

Gejza Jenča
Order
Advanced Algebra and Logic
article

N-free Posets and Orthomodularity

Gejza Jenča
article en

Abstract

Abstract We prove that the incomparability orthoset of a finite poset is Dacey if and only if the poset is N-free. We give a characterization of finite posets with compatible incomparability orthosets.

OrderVol. 43(1)
Slovak University of Technology in Bratislava (SK)
Ministerstvo školstva, vedy, výskumu a športu Slovenskej republiky, Agentúra na Podporu Výskumu a Vývoja, Vedecká Grantová Agentúra MŠVVaŠ SR a SAV
Reduced inequalities
Openalex Percentile: Top 65%
Advanced Algebra and Logic
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

N-free Posets and Orthomodularity — Gejza Jenča · Order (2026) | TGRS Research Map | TGRS