"set; generating; minimal; with; groups; Abelian"@en . "2" . "1"^^ . "Abelian groups with a minimal generating set" . "RIV/00216208:11320/10:10050566" . . "000279634500002" . "P(GA201/06/0510), Z(MSM0021620839)" . . "11320" . "245096" . . "Abelian groups with a minimal generating set" . "Quaestiones Mathematicae" . "Abelian groups with a minimal generating set"@en . "[AF4C0DEC2B37]" . . "R\u016F\u017Ei\u010Dka, Pavel" . "33" . . "We study the existence of minimal generating sets in abelian groups. We prove that abelian groups with minimal generating sets are closed neither under quotients, nor under subgroups, nor under infinite products. We give necessary and sufficient conditions for existence of a minimal generating set providing that the abelian group is uncountable, torsion, or torsion-free completely decomposable." . . . . . "1607-3606" . . . . . . . "We study the existence of minimal generating sets in abelian groups. We prove that abelian groups with minimal generating sets are closed neither under quotients, nor under subgroups, nor under infinite products. We give necessary and sufficient conditions for existence of a minimal generating set providing that the abelian group is uncountable, torsion, or torsion-free completely decomposable."@en . "RIV/00216208:11320/10:10050566!RIV11-GA0-11320___" . "13"^^ . . . . . "ZA - Jihoafrick\u00E1 republika" . "Abelian groups with a minimal generating set"@en . "1"^^ . .