Kähler differential
algebraically defined notion of differential form on an algebra over a ring or on a scheme
| rdfs:label |
"Kähler differential"@en
|
|
skos:alt |
"クリスタリンコホモロジー"@ja |
| "代数だいすう的てきド・ラムコホモロジー"@ja | |
| "代数的ド・ラムコホモロジー"@ja | |
| "代数的ド・ラームコホモロジー"@ja | |
| "代数的ド・ラーム・コホモロジー"@ja | |
| schema:description |
"algebraically defined notion of differential form on an algebra over a ring or on a scheme"@en
|
|
schema:date |
"2026-09-06T13:44:54+00:00"^^xsd:dateTime |
| schema:version | 2541102665 |
| wikibase:identifiers | 3 |
| wikibase:sitelinks | 6 |
| wikibase:statements | 16 |
| p:P138 | wd:statement/Q1609490-9ad6856f-4dee-b035-e8b4-63ac998d587e |
| p:P2534 | wd:statement/Q1609490-d8dda454-4252-be56-d2e0-79b054891435 |
| p:P2579 | wd:statement/Q1609490-4F78E9EB-A1EB-448D-98CA-A258E254AA65 |
| wd:statement/Q1609490-6210ab95-4992-9295-06dd-71d52535993a | |
| wd:statement/Q1609490-95defd6b-4e4c-0ec3-60b0-435de588b8cf | |
| p:P279 | wd:statement/Q1609490-cb43c8e5-4da7-53d4-cc3c-1e1b1e2df272 |
| p:P31 | wd:statement/Q1609490-e17c94f2-48a9-cf5a-0848-8f20e17c36ef |
| p:P4215 | wd:statement/Q1609490-ccfed2ee-4072-0fc7-1c97-6d8eaa63855a |
| p:P6104 | wd:statement/Q1609490-34AEE562-8F39-4AE6-82E8-FB4C6C91043C |
| p:P6366 | wd:statement/Q1609490-57BA4710-9527-4CE7-94AD-1C0AD78F5A02 |
| p:P646 | wd:statement/Q1609490-AB93685B-F3A7-471D-8E4A-E701C307B23B |
| p:P7235 | wd:statement/Q1609490-01b5c05b-4744-d3aa-07e9-2a071c5551b4 |
| wd:statement/Q1609490-2ac09678-4e29-31de-aa30-3fab0f34f6a8 | |
| wd:statement/Q1609490-625c022f-4eb7-a0b7-c4b0-b9155954bd3a | |
| wd:statement/Q1609490-bf9b1583-4b4f-1a96-62e5-d8b399ba88b8 | |
| wd:statement/Q1609490-c5478511-412d-f254-51d3-a358f2cf5738 | |
|
p:direct- |
<https:/ |
| wdt:P138 | Erich Kähler |
| 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><msub><mi mathvariant="normal">Ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>S</mi><mo lspace="0" rspace="0">/</mo><mi>R</mi></mrow></mrow></msub></mtd><mtd><mo stretchy="false">=</mo><mo stretchy="false">(</mo><mi>ker</mi><mo>⁡</mo><mi>ϕ</mi><mo stretchy="false">)</mo><mo lspace="0" rspace="0">/</mo><mo stretchy="false">(</mo><mi>ker</mi><mo>⁡</mo><mi>ϕ</mi><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd><mi>ϕ</mi><mo stretchy="false">:</mo><mi>S</mi><msub><mo stretchy="false">⊗</mo><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub><mi>S</mi></mtd><mtd><mo stretchy="false" accent="false">→</mo><mi>S</mi></mtd></mtr><mtr><mtd><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">⊗</mo><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mtd><mtd><mo stretchy="false">↦</mo><munder><mo stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mtd></mtr></mtable></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2579 | theory of Kähler differentials |
| algebraic geometry | |
| commutative algebra | |
| wdt:P279 | algebraic construction |
| wdt:P31 | mathematical concept |
| wdt:P4215 | "Kähler differential" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "87563457" |
| wdt:P646 | "/m/02vmrl" |
| 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>R</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>S</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>ker</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"><msub><mi mathvariant="normal">Ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>S</mi><mo lspace="0" rspace="0">/</mo><mi>R</mi></mrow></mrow></msub></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"><msub><mo stretchy="false">⊗</mo><mrow data-mjx-texclass="ORD"><mi>R</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
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