vix.ing · top · new · best · stats · spec

On semiabelian categories in Functional Analysis and Topological Algebra

2014/09/15 by Dinamérico P. Pombo, Dinamérico P. Pombo Jr, Pombo, Dinamérico P.
Decision Sciences · Mathematics · #18-02 #18E05 #22A05 #46A03 #46A17 #46H25 #46S10 #Category Theory (math.CT) #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy and Soft Set Theory #Homotopy and Cohomology in Algebraic Topology #Rings, Modules, and Algebras #math.CT #math.FA #msc:18-02 #msc:18E05 #msc:22A05 #msc:46A03 #msc:46A17 #msc:46H25 #msc:46S10

paper · pdf · doi:10.48550/arxiv.1409.4348

This revised version of the paper "On semiabelian categories in Functional Analysis and Topological Algebra" incorporates pertinent comments due to Yaroslav Kopylov which have contributed to improve the presentation of the paper

openalex publication_date 2014/09/15 · arxiv created 2015/03/10 · arxiv updated 2015/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we discuss an elementary self-contained presentation of the notion of a semiabelian category, introduced by Raikov and Palamodov. Fundamental examples of (non-abelian) semiabelian categories occuring in Functional Analysis and Topological Algebra are treated in detail throughout the paper.

Related