The category of Archimedean \(\ell\)-groups with strong unit, and some of its epireflective subcategories

DOI10.1007/s10485-017-9487-xOpenAlexW2605981921MaRDI QIDQ682074

C. Monaco, Anthony W. Hager, Jorge Martinez

Publication date: 13 February 2018

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-017-9487-x

zbMATH Keywords

epireflectionYosida representationbounded Archimedean \(\ell\)-groupco-separatorepireflective atomquasi-initialsubgroup of the reals

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Function spaces in general topology (54C35) Lattices of continuous, differentiable or analytic functions (46E05) Real-valued functions in general topology (54C30) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (4)

Bounded equivalence of hull classes in Archimedean lattice-ordered groups with unit. ⋮ $C(\beta\mathbb{N}\setminus\mathbb{N})$ among the Archimedean $\ell$-groups with strong unit ⋮ On minimum proper essential extensions in a category ⋮ Hyperarchimedean coproducts.

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