Ideals and bands in principal modules

DOI10.1007/BF01198233zbMath0581.47024OpenAlexW2016214120MaRDI QIDQ1067584

Dan Tudor Vuza

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01198233

zbMATH Keywords

bandRadon-Nikodym theoremregular operatorf-algebraprincipal order ideallocally solid topologytopological Riesz spacelimits of order convergent sequencesmonotone approximation theoremspermanence theoremprincipal modulessolid strong topology

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Ordered topological linear spaces, vector lattices (46A40)

Related Items

Characterization of regular Riesz spaces using oru-compact operators, Order-bounded operators in vector lattices and in spaces of measurable functions

Cites Work

• Groupes et anneaux reticules
• Subalgebras and Riesz Subspaces of an f -Algebra
• Tensor Products of Archimedean Vector Lattices
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