homomorphism

structure-preserving map between two (algebraic, relational or mixed) structures of the same signature
rdfs:label
"homomorphism"@en
skos:altLabel
"homomorphic"@en
"structure-preserving map"@en
schema:description
"structure-preserving map between two (algebraic, relational or mixed) structures of the same signature"@en
schema:dateModified "2026-06-16T12:56:59+00:00"^^xsd:dateTime
schema:version 2506672700
wikibase:identifiers 28
wikibase:sitelinks 47
wikibase:statements 41
p:P10017 wd:statement/Q215111-9fc11b62-47b7-919a-5312-1564ae706c40
p:P10283 wd:statement/Q215111-70601200-D1A5-4233-818F-D3D04E754DF1
p:P1051 wd:statement/Q215111-CB1F9330-1455-40C4-A3AA-A3F60D9122CA
p:P11514 wd:statement/Q215111-273B7C4C-FD72-4E92-A69F-ADE837EB9D5A
p:P1245 wd:statement/Q215111-9EA4D70E-BFBE-49E8-BBA2-3DB98CD4A286
p:P12946 wd:statement/Q215111-722B83B0-9E58-4A68-8932-D378792FA3AB
p:P1343 wd:statement/Q215111-90b579ef-b5ec-43a1-8dc3-561f895d8edf
p:P13591 wd:statement/Q215111-9E033596-4E73-4740-947E-A4ACB5DEE855
p:P13613 wd:statement/Q215111-49b6f78e-4db5-8786-4973-2bed22d6d6d8
p:P1417 wd:statement/Q215111-1BF6FCE0-1811-4D1E-9792-97EC6ADF80B4
p:P1889 wd:statement/Q215111-7e59ea16-469c-9fdc-5552-2eb98619c3cb
p:P227 wd:statement/Q215111-670CC3F1-FDD6-4D76-B60B-5A0345E6CF7C
p:P244 wd:statement/Q215111-2190434E-A1E5-40E3-A1B1-B43B0709AADA
p:P2534 wd:statement/Q215111-0DAA7810-F102-425E-ABD4-8611C73A9006
p:P2579 wd:statement/Q215111-37bc53f4-429b-4da4-8844-adb443e3d237
wd:statement/Q215111-8fcc504a-43d6-be21-52ec-fdcb08837475
wd:statement/Q215111-d5149625-4cbd-50f2-cbd0-85ff8d928e92
p:P2581 wd:statement/Q215111-7A0741F4-A2DC-4E29-AA5D-29B1943A042E
p:P279 wd:statement/Q215111-97c09749-45d6-853d-8509-457f6f8e487f
p:P2812 wd:statement/Q215111-8F218CC4-D0E4-4195-AB8A-BC172C58EFAF
p:P2924 wd:statement/Q215111-7A8CBCA6-F587-4355-9C80-525ED44C575D
p:P31 wd:statement/Q215111-ef357280-482c-d55f-c83d-6d1bea92bff5
p:P3365 wd:statement/Q215111-f573befb-4ee9-1c3c-cfb9-a177d568dab1
p:P3827 wd:statement/Q215111-58D6A9E7-C1C9-486B-8D33-B714AEA40AFF
p:P4215 wd:statement/Q215111-8eeadb6a-4609-9643-f93e-334de0e69887
p:P460 wd:statement/Q215111-fec9480b-4105-d5b0-f7a4-eb5e11a1647f
p:P6058 wd:statement/Q215111-299a80b1-4546-3021-af43-575c16fd1ce7
p:P6104 wd:statement/Q215111-8196337B-6943-4991-B3D3-A32EC437A274
p:P6366 wd:statement/Q215111-FFE7D1FF-5074-4A55-8E2C-DF0640119C9C
p:P646 wd:statement/Q215111-C7269BBA-A2BE-476E-9D86-E4A7E5EC0C1E
p:P6564 wd:statement/Q215111-b304d117-46c8-a9c4-5a30-5e3c55de6601
p:P6781 wd:statement/Q215111-211c5400-4d81-5230-e638-b44d3d1ad7ce
p:P691 wd:statement/Q215111-6ACD4AE6-D916-4AE5-AAE8-86BB1B4084B5
p:P7235 wd:statement/Q215111-45682bd6-429f-8add-369d-4a9aae884eee
wd:statement/Q215111-b545fff5-4b0f-fb13-8263-e8b153685938
wd:statement/Q215111-fe8fd453-478d-c570-15a3-80ec54628b1a
p:P7305 wd:statement/Q215111-02D07D68-12C3-453A-88E3-0F2EC1FD19A9
p:P7554 wd:statement/Q215111-b50ae080-4830-965f-1cf1-6c5236e14811
p:P8189 wd:statement/Q215111-2DEF6AFE-8786-4E77-9196-75B3C5018B5A
p:P8313 wd:statement/Q215111-4F1EA3FB-6155-4FED-AE31-D223E73E49D9
p:P9621 wd:statement/Q215111-a173359f-4e4d-6469-0e2e-5345fc9ad858
p:direct-normalized/P227 <https://d-nb.info/gnd/4160602-4>
p:direct-normalized/P244 <http://id.loc.gov/authorities/names/sh85061771>
p:direct-normalized/P2581 <http://babelnet.org/rdf/s00044596n>
p:direct-normalized/P6366 <https://makg.org/entity/4042151>
wdt:P10017 "omomorfismo"
wdt:P10283 "C4042151"
wdt:P1051 "7362"
wdt:P11514 "gomomorfizm-5390b8"
wdt:P1245 "956230"
wdt:P12946 "homomorphism"
wdt:P1343 Armenian Soviet Encyclopedia, vol. 6
wdt:P13591 "concept/04118cf2-6b40-42d6-a007-a7130b526d42"
wdt:P13613 "135733"
wdt:P1417 "topic/homomorphism"
wdt:P1889 morphism
wdt:P227 "4160602-4"
wdt:P244 "sh85061771"
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"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd><mi>&#x03D5;</mi><mo stretchy="false">(</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub><mo stretchy="false">(</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>,</mo><mo>&#x2026;</mo><mo>,</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mo stretchy="false">(</mo><mi>&#x03D5;</mi><mo stretchy="false">(</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">)</mo><mo>,</mo><mi>&#x03D5;</mi><mo stretchy="false">(</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">)</mo><mo>,</mo><mo>&#x2026;</mo><mo>,</mo><mi>&#x03D5;</mi><mo stretchy="false">(</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub><mo stretchy="false">(</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>,</mo><mo>&#x2026;</mo><mo>,</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mo>&#x27F9;</mo><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mo stretchy="false">(</mo><mi>&#x03D5;</mi><mo stretchy="false">(</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">)</mo><mo>,</mo><mi>&#x03D5;</mi><mo stretchy="false">(</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">)</mo><mo>,</mo><mo>&#x2026;</mo><mo>,</mo><mi>&#x03D5;</mi><mo stretchy="false">(</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">)</mo></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579 abstract algebra
universal algebra
model theory
wdt:P2581 "00044596n"
wdt:P279 function
wdt:P2812 "Homomorphism"
wdt:P31 mathematical concept
wdt:P3365 "omomorfismo"
wdt:P3827 "homomorphisms"
wdt:P4215 "homomorphism"
wdt:P460 wd:Q12766997
wdt:P6058 "divers/homomorphisme/58605"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "4042151"
wdt:P646 "/m/03jd7"
wdt:P6564 "homomorphism"
wdt:P6781 "Definition:Homomorphism_(Abstract_Algebra)"
wdt:P691 "ph714665"
wdt:P7235 "<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>&#x03D5;</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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>f</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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>r</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7305 "3912540"
wdt:P7554 "Homomorphism"
wdt:P8189 "987007565420605171"
wdt:P8313 "homomorfi"
wdt:P9621 "omomorfismo"
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