Extending ring topologies

DOI10.1006/jabr.2000.8382zbMath0968.16020OpenAlexW1977272961MaRDI QIDQ1588384

Horst Szambien, Dieter Remus, W. Wistar Comfort

Publication date: 18 June 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2000.8382

zbMATH Keywords

Jacobson radicaltopological ringscompact ringsradical ringssemisimple rings\(p\)-adic integers\(p\)-adic topologyBohr compactificationspseudocompact ringsKaplansky representationslattices of topologiesprecompact ringstotally bounded ringsvan der Waerden ringsWeil completions

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Topological and ordered rings and modules (16W80)

Related Items (9)

Van der Waerden rings ⋮ Van der Waerden continuity theorem for semisimple Lie groups ⋮ Contributions to the Bohr topology by W.W. Comfort ⋮ Pseudocompact refinements of compact ring topologies ⋮ Non-abelian pseudocompact groups ⋮ Just infinite compact rings ⋮ Connected locally compact groups: The Hochschild kernel and faithfulness of locally bounded finite-dimensional representations ⋮ Algebraically compact rings ⋮ Bohr topologies and compact function spaces

Cites Work

• Long chains of topological group topologies. --- A continuation
• Long chains of Hausdorff topological group topologies
• Countably compact groups and finest totally bounded topologies
• Compact rings and Stone-Čech compactifications
• Compact Noetherian rings
• Theory of compact rings. III: Compact dual rings
• Minimal and precompact group topologies on free groups
• Preservation of products by functors close to reflectors
• Pseudocompact group topologies and totally dense subgroups
• Equational compactness in rings. With applications to the theory of topological rings
• Unabhaengige Topologien, Zerlegung von Ringtopologien
• Pseudocompact refinements of compact group topologies
• Cardinal invariants and independence results in the poset of precompact group topologies
• Counting subgroups and topological group topologies
• Stetigkeitssätze für halbeinfache Liesche Gruppen
• On the uniqueness of topologies for some constructions of rings and modules
• Minimal topological algebras
• Dualität lokalkompakter Gruppen
• Locally compact ring of special type
• Pseudocompactness and uniform continuity in topological groups
• On the continuity of certain homomorphisms of compact semigroups
• Compact rings
• On the Bohr compactification
• The Number of T 2 -Precompact Group Topologies on Free Groups
• Proper Pseudocompact Extensions of Compact Abelian Group Topologies
• A Note in Compact Representations and Almost Periodicity in Topological Groups.
• Topologies induced by groups of characters
• Topological Rings
• On cardinal numbers related with a compact abelian group
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