Algebraic order topologies, and related matters

DOI10.21099/TKBJM/20234702191MaRDI QIDQ6490206

Yoshio Tanaka, Yoshimi Kitamura

Publication date: 23 April 2024

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

topological groupconeordered groupmetrizable spaceorder topologyordered ringArchimedean ordered groupsubspace topologyproduct extension ringalgebraic order topology

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological groups (topological aspects) (54H11) Topological lattices, etc. (topological aspects) (54H12) Subspaces in general topology (54B05) Topological fields, rings, etc. (topological aspects) (54H13) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Ordered fields (12J15) Ordered rings (13J25)

Cites Work

• Partially ordered rings. II.
• Partially ordered rings
• Metrizability of ordered additive groups
• Finitely generated semi-cones in product rings
• Orderable topological spaces
• When is an ordered field a metric space?
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