homomorphism
structure-preserving map between two (algebraic, relational or mixed) structures of the same signature
| rdfs:label |
"homomorphism"@en
|
|
skos:alt |
"homomorphic"@en
"structure-preserving map"@en
|
| schema:description |
"structure-preserving map between two (algebraic, relational or mixed) structures of the same signature"@en
|
|
schema:date |
"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- |
<https:/ |
|
p:direct- |
<http:/ |
|
p:direct- |
<http:/ |
|
p:direct- |
<https:/ |
| 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>ϕ</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>…</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>ϕ</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>ϕ</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>…</mo><mo>,</mo><mi>ϕ</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>…</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>⟹</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>ϕ</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>ϕ</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>…</mo><mo>,</mo><mi>ϕ</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>ϕ</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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