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Structure of pure-injective abelian groups
 Jankovec, Filip ; Šaroch, Jan (advisor) ; Žemlička, Jan (referee)
In this thesis, we study the structure of the pure-injective abelian groups. We de- scribe some equivalent characterizations of the pure-injective modules. Furthermore, we thoroughly discuss the special case of the pure-injective modules over principal ideal do- main. We show that every pure-injective abelian group can be written unambiguously only using cyclic groups, Prüfer groups and the group of rational numbers. Moreover, an abelian group can be written in this form if and only if it is a pure-injective abelian group. 1
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