Abstract
An ideai on a setX has the property S(k) iff for every partition ofX into sets of cardinality at leastk there exists a selector inI. We give a solution to a problem of Weglorz [6] proving, in particular, that if G is a group of uncountable, regular cardinalityk then every invariant,k-complete ideal on G can be extended to an invariant,k-complete ideal onG with the property S(k).
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Zakrzewski, P. Extensions of invariant ideals. Algebra Universalis 25, 190–195 (1988). https://doi.org/10.1007/BF01229969
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DOI: https://doi.org/10.1007/BF01229969