lattice

partially ordered set that admits greatest lower and least upper bounds of any two elements
rdfs:label
"lattice"@en
skos:altLabel
"الشبكة"@ar
"الشبيكة"@ar
"شبكة"@ar
schema:description
"partially ordered set that admits greatest lower and least upper bounds of any two elements"@en
schema:dateModified "2026-11-01T15:15:35+00:00"^^xsd:dateTime
schema:version 2563444757
wikibase:identifiers 22
wikibase:sitelinks 38
wikibase:statements 39
p:P12888 wd:statement/Q595364-3650BC10-22DB-491F-82D8-FD80DA802E4D
p:P13204 wd:statement/Q595364-8E7EDD4D-ECCE-4DBA-8DE6-858669CE6559
p:P1343 wd:statement/Q595364-74066c94-f53f-4305-92c9-76e864a89eaf
p:P13591 wd:statement/Q595364-9BCCA92F-D438-49EC-90DB-47B3F70A0610
p:P1552 wd:statement/Q595364-97f2fe3d-4d04-fd08-d3da-6d7482772261
wd:statement/Q595364-eef4a408-433c-c793-4ad9-8f717714101c
p:P18 wd:statement/Q595364-6050d9bc-43b7-dcec-dbe8-f30689cfc930
p:P1889 wd:statement/Q595364-E1D73EBF-6971-429B-A53D-090DC376809C
p:P2163 wd:statement/Q595364-c37eadf8-4a09-a151-9867-ce805d9004e4
p:P244 wd:statement/Q595364-390ad243-4438-71dd-8f25-ca0a27e9e7e2
p:P2534 wd:statement/Q595364-a6fbde53-41e2-15c7-fd27-fe3cd07084ee
p:P2579 wd:statement/Q595364-679fdd52-4876-ffbc-62f1-d8de61372dac
p:P2581 wd:statement/Q595364-9CDCB751-127F-48BA-A9C6-CADB0882E9EE
p:P268 wd:statement/Q595364-06cae647-476e-07a4-6fe5-d21183ef8bc8
p:P269 wd:statement/Q595364-d6a6e7ee-41d5-46ad-a184-195c42272ace
p:P279 wd:statement/Q595364-7216e5fe-41a2-e5cb-eefd-1d93c36ee76d
wd:statement/Q595364-77A0466E-9E45-4B2F-B9E1-A3E74D5C337F
wd:statement/Q595364-95979eb5-4252-b1dd-e622-842509da4b1b
p:P2812 wd:statement/Q595364-0625BF0B-EAA1-4C2E-B723-A16F6B4A7022
p:P3285 wd:statement/Q595364-0cbab7d1-4992-e935-a5ff-7dff7be59a59
p:P349 wd:statement/Q595364-98DE985F-34AD-4D66-B33A-99E8545FD8E9
p:P373 wd:statement/Q595364-CB79E65E-6C3D-4FDA-99C3-4C9141D57AC9
p:P3827 wd:statement/Q595364-A53ABCD7-0E52-4B90-99A2-248BF37C4261
p:P527 wd:statement/Q595364-52013E3B-F9EC-42C6-82FC-0C1CEA7CF10C
p:P6104 wd:statement/Q595364-FC55F95B-82F6-47D3-B797-FCBA857DD53C
p:P6366 wd:statement/Q595364-9F43FEA6-E4FC-47E0-91E0-0D22170C9065
p:P646 wd:statement/Q595364-7A5A1614-D6C2-4996-AA46-77C39FEEA14A
p:P6781 wd:statement/Q595364-f29e2e24-44cb-d22d-73b9-cc58efc0a00a
p:P691 wd:statement/Q595364-FAE602E0-E0CB-4C57-AB02-D8829FBB966A
p:P7235 wd:statement/Q595364-2c87a409-4458-b128-3904-68c02c613811
wd:statement/Q595364-a26a457b-4e39-b7f3-e655-6aea5a7f5a4c
p:P7726 wd:statement/Q595364-1fab965e-4657-c4a5-686b-b697c4b2d200
p:P8189 wd:statement/Q595364-860AB8DC-F18F-4900-B731-467BDAD111DA
p:P8408 wd:statement/Q595364-7D5F59B3-1E5E-4F1A-9E74-EC71C12C8A07
p:P8885 wd:statement/Q595364-532f109a-4d9b-8c43-da5d-f085d6a8b8fc
p:P910 wd:statement/Q595364-E9B2DB73-3CF0-4562-BABC-FAF2A7A13FC8
p:P9322 wd:statement/Q595364-E405EC9E-6E1C-47F3-B8EF-D9FA719D8900
p:P935 wd:statement/Q595364-783E1E34-3EBC-428E-AC80-EE2D4BAC9C47
p:P950 wd:statement/Q595364-02b51950-4846-2c61-cd4e-65245b485dfa
p:direct-normalized/P2163 <http://id.worldcat.org/fast/993426>
p:direct-normalized/P244 <http://id.loc.gov/authorities/names/sh85074991>
p:direct-normalized/P2581 <http://babelnet.org/rdf/s03237875n>
p:direct-normalized/P268 <http://data.bnf.fr/ark:/12148/cb119793307#about>
p:direct-normalized/P269 <http://www.idref.fr/027837866/id>
p:direct-normalized/P3285 <http://msc2010.org/resources/MSC/2010/06Bxx>
p:direct-normalized/P349 <http://id.ndl.go.jp/auth/ndlna/00571394>
p:direct-normalized/P6366 <https://makg.org/entity/135789939>
p:direct-normalized/P8408 <http://kbpedia.org/kko/rc/ModularLattice>
p:direct-normalized/P950 <https://datos.bne.es/resource/XX4425800>
wdt:P12888 "df-lat"
wdt:P13204 "vqjvmbsf"
wdt:P1343 Armenian Soviet Encyclopedia, vol. 5
wdt:P13591 "concept/7fe8c124-54a0-440d-b2a4-b5a8da332590"
wdt:P1552 absorption law
distributive property
wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/N%205%20mit%20Beschriftung.svg>
wdt:P1889 lattice
wdt:P2163 "993426"
wdt:P244 "sh85074991"
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline mathjax_ignore" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"><mi>a</mi><mo stretchy="false">∧</mo><mi>b</mi></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mi>b</mi><mo stretchy="false">∧</mo><mi>a</mi></mtd><mtd class="mwe-math-columnalign-r"><mi>a</mi><mo stretchy="false">∨</mo><mi>b</mi></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mi>b</mi><mo stretchy="false">∨</mo><mi>a</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mo stretchy="false">(</mo><mi>a</mi><mo stretchy="false">∧</mo><mi>b</mi><mo stretchy="false">)</mo><mo stretchy="false">∧</mo><mi>c</mi></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mi>a</mi><mo stretchy="false">∧</mo><mo stretchy="false">(</mo><mi>b</mi><mo stretchy="false">∧</mo><mi>c</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-r"><mo stretchy="false">(</mo><mi>a</mi><mo stretchy="false">∨</mo><mi>b</mi><mo stretchy="false">)</mo><mo stretchy="false">∨</mo><mi>c</mi></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mi>a</mi><mo stretchy="false">∨</mo><mo stretchy="false">(</mo><mi>b</mi><mo stretchy="false">∨</mo><mi>c</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"><mi>a</mi><mo stretchy="false">∨</mo><mo stretchy="false">(</mo><mi>a</mi><mo stretchy="false">∧</mo><mi>b</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mi>a</mi></mtd><mtd class="mwe-math-columnalign-r"><mi>a</mi><mo stretchy="false">∧</mo><mo stretchy="false">(</mo><mi>a</mi><mo stretchy="false">∨</mo><mi>b</mi><mo stretchy="false">)</mo></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mi>a</mi></mtd></mtr></mtable></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579 lattice theory
wdt:P2581 "03237875n"
wdt:P268 "119793307"
wdt:P269 "027837866"
wdt:P279 algebraic structure
upper semilattice
lower semilattice
wdt:P2812 "Lattice"
wdt:P3285 "06Bxx"
wdt:P349 "00571394"
wdt:P373 "Lattice theory"
wdt:P3827 "lattice-theory"
wdt:P527 semilattice
wdt:P6104 WikiProject Mathematics
wdt:P6366 "135789939"
wdt:P646 "/m/02d7x9"
wdt:P6781 "Definition:Lattice"
wdt:P691 "ph202645"
wdt:P7235 "<math class="mwe-math-element mwe-math-element-inline mathjax_ignore" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">∧</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline mathjax_ignore" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">∨</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7726 "Lattice"
wdt:P8189 "987007558164405171"
wdt:P8408 "ModularLattice"
wdt:P8885 "격자(수학)"
wdt:P910 wd:Q17406201
wdt:P9322 "0203952-svazy-matematika"
wdt:P935 "Lattice (order)"
wdt:P950 "XX4425800"
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