Abelian groups with a minimal generating set

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10050566" target="_blank" >RIV/00216208:11320/10:10050566 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Abelian groups with a minimal generating set

Original language 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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F06%2F0510" target="_blank" >GA201/06/0510: Representations of associative rings and lattices</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Quaestiones Mathematicae

ISSN

1607-3606

e-ISSN

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Volume of the periodical

33

Issue of the periodical within the volume

2

Country of publishing house

ZA - SOUTH AFRICA

Number of pages

13

Pages from-to

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UT code for WoS article

000279634500002

EID of the result in the Scopus database

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