Infinite Abelian Groups

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:class Not completely classified
gptkbp:example The direct sum of countably infinite copies of Z
The group of complex numbers under addition
The group of integers under addition
The group of rational numbers under addition
The group of real numbers under addition
gptkbp:hasApplication gptkb:Algebraic_topology
Homological algebra
Functional analysis
Module theory
gptkbp:hasFinitelyGeneratedExample The group of integers under addition
gptkbp:hasInfinitelyGeneratedExample The group of rational numbers under addition
gptkbp:hasProperty commutative
infinite order
gptkbp:hasTorsionExample The group of rational numbers modulo 1
gptkbp:hasTorsionFreeExample The group of integers under addition
https://www.w3.org/2000/01/rdf-schema#label Infinite Abelian Groups
gptkbp:studiedIn gptkb:Group_theory
gptkbp:subclassOf Abelian group
Infinite group
gptkbp:bfsParent gptkb:László_Fuchs
gptkbp:bfsLayer 7