Factor Congruences in Semilattices

2008/09/22 by Pedro Sánchez Terraf, Terraf, Pedro Sánchez · 1 citation
Mathematics · #06A12 #20M10 #FOS: Mathematics #Logic (math.LO) #math.LO #msc:06A12 #msc:20M10

paper · pdf · doi:10.48550/arxiv.0809.3822

10 pages and 6 figures; extended introduction

arxiv created 2010/11/10 · arxiv updated 2010/11/11

Abstract

We characterize factor congruences in semilattices by using generalized notions of order ideal and of direct sum of ideals. When the semilattice has a minimum (maximum) element, these generalized ideals turn into ordinary (dual) ideals.

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