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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F10%3A10050566%21RIV11-GA0-11320___
rdf:type
n11:Vysledek skos:Concept
dcterms:description
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. 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.
dcterms:title
Abelian groups with a minimal generating set Abelian groups with a minimal generating set
skos:prefLabel
Abelian groups with a minimal generating set Abelian groups with a minimal generating set
skos:notation
RIV/00216208:11320/10:10050566!RIV11-GA0-11320___
n3:aktivita
n8:Z n8:P
n3:aktivity
P(GA201/06/0510), Z(MSM0021620839)
n3:cisloPeriodika
2
n3:dodaniDat
n10:2011
n3:domaciTvurceVysledku
n16:1806068
n3:druhVysledku
n14:J
n3:duvernostUdaju
n5:S
n3:entitaPredkladatele
n19:predkladatel
n3:idSjednocenehoVysledku
245096
n3:idVysledku
RIV/00216208:11320/10:10050566
n3:jazykVysledku
n18:eng
n3:klicovaSlova
set; generating; minimal; with; groups; Abelian
n3:klicoveSlovo
n12:Abelian n12:generating n12:groups n12:minimal n12:with n12:set
n3:kodStatuVydavatele
ZA - Jihoafrická republika
n3:kontrolniKodProRIV
[AF4C0DEC2B37]
n3:nazevZdroje
Quaestiones Mathematicae
n3:obor
n13:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n6:GA201%2F06%2F0510
n3:rokUplatneniVysledku
n10:2010
n3:svazekPeriodika
33
n3:tvurceVysledku
Růžička, Pavel
n3:wos
000279634500002
n3:zamer
n17:MSM0021620839
s:issn
1607-3606
s:numberOfPages
13
n7:organizacniJednotka
11320