SHMARQL

associativity

<http://www.wikidata.org/entity/Q177251>

property of binary operations allowing sequences of operations to be regrouped without changing their value
associativity
rdfs:label
"associativity"@en
skos:altLabel
"associative property"@en
schema:description
"property of binary operations allowing sequences of operations to be regrouped without changing their value"@en
schema:dateModified "2026-11-12T00:04:51+00:00"^^xsd:dateTime
schema:version 2568115677
wikibase:identifiers 14
wikibase:sitelinks 71
wikibase:statements 26
p:P10283 wd:statement/Q177251-39E16EE0-4576-4C78-8E67-E51D9E6A60A4
p:P12385 wd:statement/Q177251-1b803997-47f9-46a3-86d5-6754253afe2d
p:P12946 wd:statement/Q177251-2A0897AE-AB85-4369-8DE2-1C4F922F8A06
p:P1296 wd:statement/Q177251-D31020C0-FC2B-4EB2-849C-C8DC11DA0D32
p:P12987 wd:statement/Q177251-24B9DCA3-5845-4DE0-8092-0AA27E9C9C40
p:P1343 wd:statement/Q177251-0650d111-4540-73db-bbcb-213a76fa1649
wd:statement/Q177251-451b637c-fe13-48d8-b008-1d1d23860041
wd:statement/Q177251-8f8898d0-4e54-9944-14c5-98775f0a9715
p:P1535 wd:statement/Q177251-b9633350-4deb-e2b4-0e81-7548e59fb8ab
wd:statement/Q177251-bb0b9935-4229-07dd-7218-e1ec8b6787bb
wd:statement/Q177251-bf012c48-4afb-efd1-be15-d750ace4f267
p:P18 wd:statement/Q177251-5e4a11d8-4d17-5c0b-1410-cec2a195af8c
p:P2534 wd:statement/Q177251-ab87f2cf-433a-a4ad-7fe5-2e75ee8493a4
p:P2812 wd:statement/Q177251-80EF95BC-48DE-48BC-A3D1-A28948B3D013
p:P2924 wd:statement/Q177251-423073A8-1A75-481D-A792-B4DF76C339C3
p:P31 wd:statement/Q177251-14a11686-4e77-2184-b732-bfd17e1e6c26
wd:statement/Q177251-9e8b5101-4317-f892-3f69-521128fe434f
p:P4215 wd:statement/Q177251-F8B14E89-ACD8-4A91-A53C-482F5417AEF8
p:P4746 wd:statement/Q177251-B2C9CB8A-6077-4D2F-832F-AD6A02A5AD79
p:P5008 wd:statement/Q177251-F64D86FE-F16A-4BA4-81DC-36577DF065DF
p:P5106 wd:statement/Q177251-23A404C9-16A9-4DE2-BB31-275B9E85F8F9
p:P6104 wd:statement/Q177251-AA33F548-8F3F-4FD4-8238-643B87FC28B9
p:P6366 wd:statement/Q177251-9563A697-E8B2-4D28-A88A-19AD139CE015
p:P646 wd:statement/Q177251-B4C42D27-EC01-4C4C-B203-7A3D5C05076F
p:P7033 wd:statement/Q177251-D6ABDC41-9226-4203-B64A-66CFAD97B8E8
p:P8417 wd:statement/Q177251-d4a25899-46e7-d834-645c-09d9f9cc6b71
p:direct-normalized/P6366 <https://makg.org/entity/159423971>
p:direct-normalized/P7033 <http://vocabulary.curriculum.edu.au/scot/12412>
wdt:P10283 "C159423971"
wdt:P12385 "associativitat"
wdt:P12946 "associativity"
wdt:P1296 "0081416"
wdt:P12987 "alg.binary_operation.associative"
wdt:P1343 Armenian Soviet Encyclopedia, vol. 3
Great Soviet Encyclopedia (1926–1947)
Brockhaus and Efron Encyclopedic Dictionary
wdt:P1535 union
addition
multiplication
wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Associativity%20of%20binary%20operations%20%28without%20question%20marks%29.svg>
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">&#x2200;</mi><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">&#x003A;</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">&#x22C6;</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">&#x22C6;</mo><mi>z</mi><mo stretchy="false">=</mo><mi>x</mi><mo stretchy="false">&#x22C6;</mo><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">&#x22C6;</mo><mi>z</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2812 "Associative"
wdt:P2924 "1835193"
wdt:P31 rule of replacement
mathematical property
wdt:P4215 "associativity"
wdt:P4746 "032872"
wdt:P5008 Wikipedia:Vital articles/Level/4
wdt:P5106 "associative"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "159423971"
wdt:P646 "/m/0gvsfvc"
wdt:P7033 "scot/12412"
wdt:P8417 "Associative_binary_operation"
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