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On the existence of strongly normal ideals overPκλ

✍ Scribed by Donna M. Carr; Jean -Pierre Levinski; Donald H. Pelletier

Publisher
Springer
Year
1990
Tongue
English
Weight
703 KB
Volume
30
Category
Article
ISSN
0933-5846

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## Abstract Given a regular uncountable cardinal κ and a cardinal λ > κ of cofinality ω, we show that the restriction of the non‐stationary ideal on __P__~κ~(λ) to the set of all __a__ with \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathrm{cf}(\sup (a\cap \kappa))

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Let D be a division ring with centre F. Denote by D \* the multiplicative group of D. The relation between valuations on D and maximal subgroups of D \* is investigated. In the ÿnite dimensional case, it is shown that F \* has a maximal subgroup if Br(F) is non-trivial provided that the characterist