Vector lattice covers of ideals and bands in Pre-Riesz spaces

DOI10.2989/16073606.2018.1501620zbMath1429.46002arXiv1801.07191OpenAlexW2784983968MaRDI QIDQ5198041

Helena Malinowski, Anke Kalauch

Publication date: 2 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.07191

zbMATH Keywords

vector lattice coverpre-Riesz spaceextension bandextension ideal

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (4)

Projection bands and atoms in pervasive pre-Riesz spaces ⋮ Semi-order continuous operators on vector spaces ⋮ On Disjointness, Bands and Projections in Partially Ordered Vector Spaces ⋮ Order continuous operators on pre-Riesz spaces and embeddings

Cites Work

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• Partially ordered linear topological spaces
• Bands in pervasive pre-Riesz spaces
• A representation theory for commutative topological algebra
• Sublinear Functionals and Ideals in Partially Ordered Vector Spaces

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