<abstract xmlns="http://www.w3.org/1999/xhtml"> Suppose A is an Abelian p-group and is an ordinal such that A/pα A is a direct sum of countable groups. It is shown that A has a nice basis if, and only if, pα A has a nice basis. This strengthens an earlier result of ours in Bull. Allah. Math. Soc. (2011) proved when α&lt; ω2.</abstract>

Suppose A is an Abelian p-group and is an ordinal such that A/pα A is a direct sum of countable groups. It is shown that A has a nice basis if, and only if, pα A has a nice basis. This strengthens an earlier result of ours in Bull. Allah. Math. Soc. (2011) proved when α< ω2.

An Extension of Nice Bases on Ulm Subgroups of Primary Abelian Groups

Department of Mathematics, Paissii Hilendarski University of Plovdiv, Tzar Assen Street 24, 4000 Plovdiv, Bulgaria

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"An Extension of Nice Bases on Ulm Subgroups of Primary Abelian Groups"}

Suppose A is an Abelian p-group and is an ordinal such that A/pα A is a direct sum of countable groups. It is shown that A has a nice basis if, and only if, pα...

An Extension of Nice Bases on Ulm Subgroups of Primary Abelian Groups

Published Online: May 21, 2013

Page range: 33 - 36

DOI: https://doi.org/10.2478/v10309-012-053-0

Keywords
Direct sums of countable groups, Groups with nice bases, Primary Abelian groups, Totally projective quotients, Ulm subgroups, Ulm factor

This content is open access.

An Extension of Nice Bases on Ulm Subgroups of Primary Abelian Groups

Published Online: May 21, 2013

Page range: 33 - 36

DOI: https://doi.org/10.2478/v10309-012-053-0

KeywordsDirect sums of countable groups, Groups with nice bases, Primary Abelian groups, Totally projective quotients, Ulm subgroups, Ulm factor

This content is open access.

Keywords
Direct sums of countable groups, Groups with nice bases, Primary Abelian groups, Totally projective quotients, Ulm subgroups, Ulm factor