An Extension of Nice Bases on Ulm Subgroups of Primary Abelian Groups
نویسندگان
چکیده
Suppose A is an Abelian p-group and α is an ordinal such that A/pA is a direct sum of countable groups. It is shown that A has a nice basis if, and only if, pA has a nice basis. This strengthens an earlier result of ours in Bull. Allah. Math. Soc. (2011) proved when α < ω.
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