noetherian ring
ring whose ideals satisfy the ascending chain condition
| rdfs:label |
"noetherian ring"@en
|
|
skos:alt |
"حلقة نويترية"@ar
|
| schema:description |
"ring whose ideals satisfy the ascending chain condition"@en
|
|
schema:date |
"2026-09-06T20:28:21+00:00"^^xsd:dateTime |
| schema:version | 2541300053 |
| wikibase:identifiers | 13 |
| wikibase:sitelinks | 24 |
| wikibase:statements | 20 |
| p:P10283 | wd:statement/Q582271-BE952A17-3B92-4B00-A73B-0CF1AF8E9990 |
| p:P10376 | wd:statement/Q582271-f4c0c647-4297-80f0-1f75-5627022f7b08 |
| p:P10509 | wd:statement/Q582271-c9347fb8-42f4-20a6-23e7-5cc9d2bc61eb |
| p:P12888 | wd:statement/Q582271-1566CDA9-3317-4CCA-9599-2FAF8C28C4CC |
| p:P138 | wd:statement/Q582271-0dcbd7ac-4c40-c9ab-6ea4-41d631f568f5 |
| p:P14534 | wd:statement/Q582271-2F4907B2-F083-4216-AEEE-2C5139400BF3 |
| p:P1552 | wd:statement/Q582271-6f880e2e-4fa4-fae8-3296-39419707a501 |
| p:P2534 | wd:statement/Q582271-D332F005-E194-49FD-B3CF-DCFDCD794342 |
| p:P279 | wd:statement/Q582271-6229bed4-484b-8d04-c047-4442eedf6caf |
| wd:statement/Q582271-8838496a-402b-2401-daf4-1012b1f862d0 | |
| p:P2812 | wd:statement/Q582271-813527a6-472f-5e38-992a-2508399dea9e |
| p:P3847 | wd:statement/Q582271-2c961541-4f6b-46f4-30cb-dd49c7721633 |
| p:P4215 | wd:statement/Q582271-E5001B46-DCEC-4A23-8C3F-73BAD2228893 |
| p:P6104 | wd:statement/Q582271-5858A229-4404-4DB0-B0A4-76BFA1989ED0 |
| p:P6366 | wd:statement/Q582271-B74585F0-F93B-42CD-8B3A-A7A86E484849 |
| p:P646 | wd:statement/Q582271-89528009-646E-48C1-A2B8-74CA2CC21251 |
| p:P7235 | wd:statement/Q582271-d7fe8e98-48be-904e-13b4-361d89ad5c7c |
| p:P7554 | wd:statement/Q582271-e7327906-4ab4-6838-aa87-93ffd124b94a |
| p:P7726 | wd:statement/Q582271-833c914f-46af-baf9-91cd-9fbada96c5a1 |
| p:P9621 | wd:statement/Q582271-AAF6F63E-A9EA-49DA-B6AF-68FB9E4A7DE3 |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C2777726979" |
| wdt:P10376 | "mathematics/noetherian-ring" |
| wdt:P10509 | "37851" |
| wdt:P12888 | "df-lnr" |
| wdt:P138 | Emmy Noether |
| wdt:P14534 | "IsNoetherianRing" |
| wdt:P1552 | ascending 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"><msub><mi>I</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>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">⊆</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">⊆</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">+</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">⊆</mo><mo stretchy="false">⋯</mo><mo stretchy="false">⇒</mo><mi mathvariant="normal">∃</mi><mi>k</mi><mo stretchy="false">.</mo><mi mathvariant="normal">∀</mi><msup><mi>k</mi><mo>′</mo></msup><mo stretchy="false">≥</mo><mi>k</mi><mo stretchy="false">.</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>k</mi><mo>′</mo></msup></mrow></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | Noetherian module |
| coherent ring | |
| wdt:P2812 | "NoetherianRing" |
| wdt:P3847 | "noetherian_rings" |
| wdt:P4215 | "noetherian ring" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "2777726979" |
| wdt:P646 | "/m/0fk5n" |
| 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"><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P7554 | "Noetherian_ring" |
| wdt:P7726 | "NoetherianRing" |
| wdt:P9621 | "anello-noetheriano" |
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