A characterization of the canonical extension of Boolean homomorphisms

2017/02/21 by Luciano J. González, González, Luciano J.
Computer Science · Mathematics · #03G05 #06B23 #06E15 #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #Logic (math.LO) #Rings, Modules, and Algebras #math.LO #msc:03G05 #msc:06B23 #msc:06E15

paper · pdf · doi:10.48550/arxiv.1702.06414

9 pages

openalex publication_date 2017/02/21 · arxiv created 2018/06/01 · arxiv updated 2018/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article aims to obtain a characterization of the canonical extension of Boolean homomorphisms through the Stone-Čech compactification. Then, we will show that one-to-one homomorphisms and onto homomorphisms extend to one-to-one homomorphisms and onto homomorphisms, respectively.

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