Extensions and factorizations of topological and semitopological universal algebras

2024/02/02 by Evgenii Reznichenko, Reznichenko, Evgenii · 2 citations
Computer Science · Decision Sciences · Mathematics · #08A05 54H11 22A30 #Advanced Algebra and Logic #Advanced Topics in Algebra #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2402.01418

openalex publication_date 2024/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The possibility of extending operations of topological and semitopological algebras to their Stone-Čech compactification and factorization of continuous functions through homomorphisms to metrizable algebras are investigated. Most attention is paid to pseudocompact and compact algebras.

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