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gptkbp:instanceOf
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gptkb:Dedekind_domain
gptkb:King
Noetherian ring
Euclidean domain
commutative ring
integral domain
principal ideal domain
unique factorization domain
countable set
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gptkbp:characteristic
|
0
|
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gptkbp:hasAdditiveIdentity
|
0
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gptkbp:hasMultiplicativeIdentity
|
1
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|
https://www.w3.org/2000/01/rdf-schema#label
|
the ring of integers Z
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gptkbp:identityElement
|
1
|
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gptkbp:isArtinianRing
|
false
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gptkbp:isCommutative
|
true
|
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gptkbp:isCountable
|
true
|
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gptkbp:isCyclicGroup
|
true
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gptkbp:isDedekindDomain
|
true
|
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gptkbp:isDiscreteValuationRing
|
false
|
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gptkbp:isDomain
|
true
|
|
gptkbp:isEuclideanDomain
|
true
|
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gptkbp:isFinite
|
true
|
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gptkbp:isFinitelyGeneratedAsModuleOverItself
|
true
|
|
gptkbp:isGeneratedBy
|
1
|
|
gptkbp:isInfiniteCyclicGroup
|
true
|
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gptkbp:isInitialObjectIn
|
category of rings
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|
gptkbp:isJacobsonRing
|
true
|
|
gptkbp:isLocalRing
|
false
|
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gptkbp:isModuleOverItself
|
true
|
|
gptkbp:isNoetherian
|
true
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isPerfectRing
|
true
|
|
gptkbp:isPrincipalIdealDomain
|
true
|
|
gptkbp:isReducedRing
|
true
|
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gptkbp:isRingOfIntegersOf
|
gptkb:the_rational_numbers_Q
|
|
gptkbp:isSemisimpleRing
|
false
|
|
gptkbp:isSimpleAsModuleOverItself
|
false
|
|
gptkbp:isSimpleRing
|
false
|
|
gptkbp:isSubringOf
|
gptkb:the_complex_numbers_C
gptkb:the_field_of_rational_numbers_Q
the real numbers R
|
|
gptkbp:isTorsionFreeAsModuleOverItself
|
true
|
|
gptkbp:isTotallyOrdered
|
true
|
|
gptkbp:isUniqueFactorizationDomain
|
true
|
|
gptkbp:isUnital
|
true
|
|
gptkbp:isUniversalObjectIn
|
category of commutative rings with unity
|
|
gptkbp:universalCover
|
gptkb:the_circle_group
|
|
gptkbp:bfsParent
|
gptkb:PID_(Principal_Ideal_Domain)
|
|
gptkbp:bfsLayer
|
6
|