artinian ring
ring that satisfies the descending chain condition on ideals
| rdfs:label |
"artinian ring"@en
|
|
skos:alt |
"Artin ring"@en
|
| schema:description |
"ring that satisfies the descending chain condition on ideals"@en
|
|
schema:date |
"2026-09-06T17:40:38+00:00"^^xsd:dateTime |
| schema:version | 2541223514 |
| wikibase:identifiers | 7 |
| wikibase:sitelinks | 17 |
| wikibase:statements | 14 |
| p:P10283 | wd:statement/Q713084-62992E33-9B91-4A60-A228-DFA25511732C |
| p:P138 | wd:statement/Q713084-40385322-403a-91e7-4b09-356335436fe4 |
| p:P1552 | wd:statement/Q713084-9ee75de0-4310-528b-d541-de3353233a60 |
| p:P2534 | wd:statement/Q713084-4C855314-97B7-4F6E-BD82-855CA799A115 |
| p:P279 | wd:statement/Q713084-c09c9537-4296-cc83-77a5-90b603a6044c |
| wd:statement/Q713084-e715e19e-4db8-28be-d93c-59cf365177a0 | |
| p:P2812 | wd:statement/Q713084-b15b894e-4905-6fcd-92d7-e120adc34e58 |
| p:P31 | wd:statement/Q713084-2ff92c73-4ac5-3a73-2722-48b2bdb6b229 |
| p:P4215 | wd:statement/Q713084-76F07BE9-2F0D-4C95-B589-852D61902773 |
| p:P6104 | wd:statement/Q713084-C407F466-CF5A-443D-BCE1-F033F22E574C |
| p:P6366 | wd:statement/Q713084-1EFD2ECB-11B7-4B53-847B-1F01085D3479 |
| p:P646 | wd:statement/Q713084-31733DAC-15DF-449E-BDAC-3CABC130E004 |
| p:P7554 | wd:statement/Q713084-839d1d53-4e54-15cd-ae30-f100dbf63307 |
| p:P9621 | wd:statement/Q713084-A8884329-7B4A-4AD3-A45F-A92715DAF663 |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C149774684" |
| wdt:P138 | Emil Artin |
| wdt:P1552 | descending chain condition |
| 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"><msup><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">⊕</mo><mi>k</mi></mrow></mrow></msup><mo stretchy="false" accent="false">→</mo><mi>A</mi><mo>,</mo><mspace width="0.167em"></mspace><mo stretchy="false">(</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo>…</mo><mo>,</mo><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">↦</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">+</mo><mo stretchy="false">⋯</mo><mo stretchy="false">+</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><msub><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | Artinian module |
| noetherian ring | |
| wdt:P2812 | "ArtinianRing" |
| wdt:P31 | mathematical concept |
| wdt:P4215 | "artinian ring" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "149774684" |
| wdt:P646 | "/m/02gmfk" |
| wdt:P7554 | "Artinian_ring" |
| wdt:P9621 | "anello-artiniano" |
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