ADS Abelian groups

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10488139" target="_blank" >RIV/00216208:11320/24:10488139 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=3-GmSrq6Zd" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=3-GmSrq6Zd</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0219498824501822" target="_blank" >10.1142/S0219498824501822</a>

Result language
angličtina
Original language name
ADS Abelian groups
Original language description
The subgroup G <= A is absolute direct summand (ADS) if, for every G-high subgroupH <= A (i.e. maximal with respect to the property GINTERSECTIONH = 0), we have A = GCIRCLED PLUS H, andA itself is an ADS group if all of its summands inherit this property. In this paper, wecharacterize the structure of ADS abelian groups, which can be defined as groups suchthat members of the decomposition into two direct summands are mutually injective. Inparticular, an ADS abelian group is either divisible, or a direct sum of an indecomposabletorsion-free group and a divisible torsion group, or a torsion group such that each pcomponentis a direct sum of cyclic p-groups of the same length or of Prufer groups.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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