noetherian ring

ring whose ideals satisfy the ascending chain condition
rdfs:label
"noetherian ring"@en
skos:altLabel
"حلقة نويترية"@ar
schema:description
"ring whose ideals satisfy the ascending chain condition"@en
schema:dateModified "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-normalized/P6366 <https://makg.org/entity/2777726979>
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">&#x2286;</mo><mo stretchy="false">&#x22EF;</mo><mo stretchy="false">&#x2286;</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo stretchy="false">&#x2212;</mo><mn>1</mn></mrow></mrow></msub><mo stretchy="false">&#x2286;</mo><msub><mi>I</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">&#x2286;</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">&#x2286;</mo><mo stretchy="false">&#x22EF;</mo><mo stretchy="false">&#x21D2;</mo><mi mathvariant="normal">&#x2203;</mi><mi>k</mi><mo stretchy="false">.</mo><mi mathvariant="normal">&#x2200;</mi><msup><mi>k</mi><mo>&#x2032;</mo></msup><mo stretchy="false">&#x2265;</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>&#x2032;</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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