Math 2.0

List of abstract algebra topics

This page lists the items of the Wikipedia article List of abstract algebra topics in their order, and the nodes of Math 2.0 that have them. The text of the article is not on this site. The items come from revision 1346165939, with the assessment List/Mid.

OutcomeItems
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The gap signals of the article are S1,S6,S8,S9.

ItemKindNameOutcomeNodesReason
subjecttopicList of abstract algebra topicsdeferred until 2027-05-01a list or a glossary is not a node (WP9.1)
#03FAstatementWedderburn–Artin theoremdeferred until 2027-05-01the item has its own article, page 397264
#0AM5definitionFinitary operationdeferred until 2027-05-01the item has its own article, page 4140245
#0CFWdefinitionField normdeferred until 2027-05-01the item has its own article, page 450555
#125JdefinitionFormally real fielddeferred until 2027-05-01the item has its own article, page 1067223
#15MXdefinitionField extensiondeferred until 2027-05-01the item has its own article, page 11634
#1ACJdefinitionCyclic groupdeferred until 2027-05-01the item has its own article, page 52327
#1BE9definitionLie ringdeferred until 2027-05-01the item has its own article, page 17944
#1D73definitionFinitely related moduledeferred until 2027-05-01the item has its own article, page 326430
#1H4OstatementSchur's lemmadeferred until 2027-05-01the item has its own article, page 22203669
#1O04definitionComposition seriesdeferred until 2027-05-01the item has its own article, page 297493
#1Z2ZstatementKrull–Schmidt theoremdeferred until 2027-05-01the item has its own article, page 21100715
#20OHdefinitionLocal ringdeferred until 2027-05-01the item has its own article, page 153391
#28VMdefinitionAlgebraic number fielddeferred until 2027-05-01the item has its own article, page 28730822
#2JFGdefinitionQuotient ringdeferred until 2027-05-01the item has its own article, page 184635
#2JNGstatementNakayama's lemmadeferred until 2027-05-01the item has its own article, page 1835001
#2KYQdefinitionCayley–Dickson constructiondeferred until 2027-05-01the item has its own article, page 175609
#2N1TdefinitionSocle of a ringdeferred until 2027-05-01the item has its own article, page 3571350
#2O58exampleApplicationsdeferred until 2027-05-01the cue heading names a section and not one item
#2R0LdefinitionSymbolic mathematicsdeferred until 2027-05-01the item has its own article, page 23659805
#2UB2definitionRational numberdeferred until 2027-05-01the item has its own article, page 19727024
#31Y4definitionSubfield (mathematics)deferred until 2027-05-01the item has its own article, page 11634
#33Q6definitionAbelian groupdeferred until 2027-05-01the item has its own article, page 2974
#3AT0definitionHereditary ringdeferred until 2027-05-01the item has its own article, page 5123176
#3X47definitionField (mathematics)deferred until 2027-05-01the item has its own article, page 10603
#3YM5definitionConjugate element (field theory)deferred until 2027-05-01the text of the item has no full sentence, so the write role writes the text (WP9.2)
#4LMAexampleExamplesdeferred until 2027-05-01the cue heading names a section and not one item
#56S5definitionGraded algebradeferred until 2027-05-01the item has its own article, page 103094
#5EF8topicRepresentation theory of Hopf algebrasdeferred until 2027-05-01a list or a glossary is not a node (WP9.1)
#5FOHdefinitionBaer ringdeferred until 2027-05-01the item has its own article, page 7455223
#5M2FdefinitionTensor productdeferred until 2027-05-01the item has its own article, page 30844
#5XX0definitionModular representation theorydeferred until 2027-05-01the item has its own article, page 1110685
#69RFstatementLevitzky's theoremdeferred until 2027-05-01the item has its own article, page 24015132
#6VBQdefinitionAssociative propertydeferred until 2027-05-01the item has its own article, page 1335
#6XW5definitionField (mathematics)deferred until 2027-05-01the item has its own article, page 10603
#6Y7UdefinitionCategory theorydeferred until 2027-05-01the item has its own article, page 5869
#77EQdefinitionRing homomorphismdeferred until 2027-05-01the item has its own article, page 26411
#7D44definitionReflexive moduledeferred until 2027-05-01the item has its own article, page 27481586
#7IV2statementZorn's lemmadeferred until 2027-05-01the item has its own article, page 51442
#7J41definitionDirect sumdeferred until 2027-05-01the item has its own article, page 2084687
#7SUFdefinitionDirect productdeferred until 2027-05-01the item has its own article, page 8887
#7W7UdefinitionMatrix ringdeferred until 2027-05-01the item has its own article, page 487541
#7XA4definitionSubringdeferred until 2027-05-01the item has its own article, page 24873145
#80OZdefinitionUnary operatordeferred until 2027-05-01the item has its own article, page 161006
#82SRdefinitionPerfect ringdeferred until 2027-05-01the item has its own article, page 22658615
#87LEdefinitionSimple moduledeferred until 2027-05-01the item has its own article, page 29430
#8K6QdefinitionLoop groupdeferred until 2027-05-01the item has its own article, page 1390288
#8QTPdefinitionSubmoduledeferred until 2027-05-01the item has its own article, page 276410
#8R7PdefinitionRegular sequence (algebra)deferred until 2027-05-01the item has its own article, page 505119
#8SNBdefinitionGroup actiondeferred until 2027-05-01the item has its own article, page 12781
#9085topicCommutative algebradeferred until 2027-05-01a list or a glossary is not a node (WP9.1)
#92X1definitionDiscrete valuation ringdeferred until 2027-05-01the item has its own article, page 848633
#9HO2definitionBimoduledeferred until 2027-05-01the item has its own article, page 492612
#9I23topicAlgebraic geometrydeferred until 2027-05-01a list or a glossary is not a node (WP9.1)
#9JMJexampleExamplesdeferred until 2027-05-01the cue heading names a section and not one item
#9K8QdefinitionHomomorphismdeferred until 2027-05-01the item has its own article, page 13564
#9PABstatementMaschke's theoremdeferred until 2027-05-01the item has its own article, page 30876007
#9WJNdefinitionLocal fielddeferred until 2027-05-01the item has its own article, page 145375
#A8MWdefinitionAffine representationdeferred until 2027-05-01the item has its own article, page 354593
#AHKZdefinitionFormal power seriesdeferred until 2027-05-01the item has its own article, page 60012
#AIF9definitionIndecomposable moduledeferred until 2027-05-01the item has its own article, page 810549
#AV5BdefinitionConstructionsdeferred until 2027-05-01the cue heading names a section and not one item
#B19GdefinitionFree groupdeferred until 2027-05-01the item has its own article, page 59735
#B3LUdefinitionJordan–Hölder theoremdeferred until 2027-05-01the item has its own article, page 297493
#B4BHtopicKummer theorydeferred until 2027-05-01a list or a glossary is not a node (WP9.1)
#B721definitionJacobson radicaldeferred until 2027-05-01the item has its own article, page 57656
#BBV7definitionSemiringdeferred until 2027-05-01the item has its own article, page 371468
#BDUQdefinitionQuiver (mathematics)deferred until 2027-05-01the text of the item has no full sentence, so the write role writes the text (WP9.2)
#BJOLconjectureBurnside's problemdeferred until 2027-05-01the item has its own article, page 151452
#BKXEdefinitionLie algebra representationdeferred until 2027-05-01the item has its own article, page 318712
#BMUHstatementSteinitz exchange lemmadeferred until 2027-05-01the item has its own article, page 20506374
#BO9KdefinitionCoherent moduledeferred until 2027-05-01the item has its own article, page 326430
#BRM2definitionModule (mathematics)deferred until 2027-05-01the item has its own article, page 276410
#BXE2definitionPrimitive ringdeferred until 2027-05-01the item has its own article, page 485862
#CIJ5definitionPrime ringdeferred until 2027-05-01the item has its own article, page 487540
#CN8PdefinitionDifferential algebradeferred until 2027-05-01the item has its own article, page 1816587
#CNM5definitionFinitely-presented moduledeferred until 2027-05-01the item has its own article, page 326430
#CNO4definitionExamples of groupsdeferred until 2027-05-01the item has its own article, page 19447
#CQVNdefinitionQuotient groupdeferred until 2027-05-01the item has its own article, page 11526
#CR3FdefinitionAlgebraic structuredeferred until 2027-05-01the item has its own article, page 106364
#CZJTdefinitionSymmetric functiondeferred until 2027-05-01the item has its own article, page 22510359
#DI21definitionCompletion (ring theory)deferred until 2027-05-01the item has its own article, page 9477975
#DI9JstatementSchanuel's lemmadeferred until 2027-05-01the item has its own article, page 15583411
#DL2KdefinitionGroup representationdeferred until 2027-05-01the item has its own article, page 12695
#DQYYdefinitionKrull dimensiondeferred until 2027-05-01the item has its own article, page 56079
#DY9AdefinitionAlgebra over a fielddeferred until 2027-05-01the item has its own article, page 191788
#E44KdefinitionEquivariant mapdeferred until 2027-05-01the item has its own article, page 422711
#EIXSdefinitionQuasi-Frobenius ringdeferred until 2027-05-01the item has its own article, page 31557888
#EJG1definitionLocalization of a moduledeferred until 2027-05-01the item has its own article, page 252216
#EZALdefinitionStable range conditiondeferred until 2027-05-01the item has its own article, page 43110668
#FE1BdefinitionFundamental groupdeferred until 2027-05-01the item has its own article, page 11004
#FELYdefinitionBanach algebradeferred until 2027-05-01the item has its own article, page 4665
#GB8SstatementHopkins–Levitzki theoremdeferred until 2027-05-01the item has its own article, page 29435296
#GMYNdefinitionTensor product of fieldsdeferred until 2027-05-01the item has its own article, page 372240
#HMG7definitionSolvable groupdeferred until 2027-05-01the item has its own article, page 105012
#HPEGdefinitionCategory theorydeferred until 2027-05-01the item has its own article, page 5869
#HXMYdefinitionQuotient moduledeferred until 2027-05-01the item has its own article, page 364820
#I2DYdefinitionKernel of a functiondeferred until 2027-05-01the item has its own article, page 330095
#I2LSdefinitionBinary operationdeferred until 2027-05-01the item has its own article, page 3948
#ID40definitionConstructionsdeferred until 2027-05-01the cue heading names a section and not one item
#IFFLdefinitionCharacteristic (algebra)deferred until 2027-05-01the text of the item has no full sentence, so the write role writes the text (WP9.2)
#J2TRdefinitionMorita equivalencedeferred until 2027-05-01the item has its own article, page 3296134
#JM94definitionFinite fielddeferred until 2027-05-01the item has its own article, page 11615
#K2OPdefinitionAlgebraic structuredeferred until 2027-05-01the item has its own article, page 106364
#KOXJdefinitionJordan algebradeferred until 2027-05-01the item has its own article, page 936371
#KSD8definitionLasker–Noether theoremdeferred until 2027-05-01the item has its own article, page 1208391
#L4C6definitionDedekind groupdeferred until 2027-05-01the item has its own article, page 153106
#LFUEdefinitionVon Neumann regular ringdeferred until 2027-05-01the item has its own article, page 907524
#LLUDdefinitionGaussian integerdeferred until 2027-05-01the item has its own article, page 48628
#LM5HdefinitionSocle of a moduledeferred until 2027-05-01the item has its own article, page 3571350
#LQ1VdefinitionHeap (mathematics)deferred until 2027-05-01the text of the item has no full sentence, so the write role writes the text (WP9.2)
#LSFHdefinitionUnit (ring theory)deferred until 2027-05-01the text of the item has no full sentence, so the write role writes the text (WP9.2)
#LTDDdefinitionFrobenius reciprocitydeferred until 2027-05-01the item has its own article, page 55690071
#M8TKdefinitionFinitely-generated moduledeferred until 2027-05-01the item has its own article, page 326430
#MI0KdefinitionAnnihilator (ring theory)deferred until 2027-05-01the text of the item has no full sentence, so the write role writes the text (WP9.2)
#MPXFdefinitionSimple ringdeferred until 2027-05-01the item has its own article, page 443387
#MSQEdefinitionFree algebradeferred until 2027-05-01the item has its own article, page 494669
#MURVdefinitionSemigroupdeferred until 2027-05-01the item has its own article, page 22679231
#MZQZdefinitionMagma (algebra)deferred until 2027-05-01the text of the item has no full sentence, so the write role writes the text (WP9.2)
#N1Y3topicReal closed fielddeferred until 2027-05-01a list or a glossary is not a node (WP9.1)
#NGPLstatementJacobson density theoremdeferred until 2027-05-01the item has its own article, page 488391
#O7JTdefinitionRing idealdeferred until 2027-05-01the item has its own article, page 25977
#OD9OdefinitionGalois theorydeferred until 2027-05-01the item has its own article, page 61316
#OR1AdefinitionFiltration (mathematics)deferred until 2027-05-01the text of the item has no full sentence, so the write role writes the text (WP9.2)
#OXP4definitionArtinian moduledeferred until 2027-05-01the item has its own article, page 542336
#P4GHdefinitionEndomorphism ringdeferred until 2027-05-01the item has its own article, page 59623
#P8J9definitionTorsion (algebra)deferred until 2027-05-01the text of the item has no full sentence, so the write role writes the text (WP9.2)
#P8KEdefinitionGalois theorydeferred until 2027-05-01the item has its own article, page 61316
#PBY9definitionDivisible groupdeferred until 2027-05-01the item has its own article, page 472147
#POSMdefinitionRegular local ringdeferred until 2027-05-01the item has its own article, page 506959
#PVQTdefinitionSimple groupdeferred until 2027-05-01the item has its own article, page 47600
#Q1N6definitionArtinian ringdeferred until 2027-05-01the item has its own article, page 489273
#QIMNdefinitionGroup (mathematics)deferred until 2027-05-01the item has its own article, page 19447
#QMWYdefinitionRing (mathematics)deferred until 2027-05-01the item has its own article, page 48404
#QNYOdefinitionPolynomial ringdeferred until 2027-05-01the item has its own article, page 373065
#QO4JexampleExamplesdeferred until 2027-05-01the cue heading names a section and not one item
#QP9XdefinitionTensor algebradeferred until 2027-05-01the item has its own article, page 363628
#QSFJdefinitionNonassociative ringdeferred until 2027-05-01the item has its own article, page 6533841
#QYIXdefinitionDirect sumdeferred until 2027-05-01the item has its own article, page 2084687
#R42LstatementSchur's lemmadeferred until 2027-05-01the item has its own article, page 22203669
#R7NMdefinitionVirasoro algebradeferred until 2027-05-01the item has its own article, page 348029
#RW25topicAlgebra representationdeferred until 2027-05-01a list or a glossary is not a node (WP9.1)
#SFD2definitionCompletion (ring theory)deferred until 2027-05-01the item has its own article, page 9477975
#SWP5definitionHomological dimensiondeferred until 2027-05-01the item has its own article, page 15682063
#T2P9topicUniversal algebradeferred until 2027-05-01a list or a glossary is not a node (WP9.1)
#TKFAstatementWedderburn's little theoremdeferred until 2027-05-01the item has its own article, page 7132002
#TM48definitionProjective representationdeferred until 2027-05-01the item has its own article, page 348860
#TZ4NstatementKrull's principal ideal theoremdeferred until 2027-05-01the item has its own article, page 542421
#U1ZOdefinitionCohen–Macaulay ringdeferred until 2027-05-01the item has its own article, page 497407
#U9GAdefinitionMonoid ringdeferred until 2027-05-01the item has its own article, page 20781
#UDJZdefinitionMonoiddeferred until 2027-05-01the item has its own article, page 19652
#UDNUtopicRing theorydeferred until 2027-05-01a list or a glossary is not a node (WP9.1)
#UHW4statementFitting lemmadeferred until 2027-05-01the item has its own article, page 794492
#UKN0definitionMorita equivalencedeferred until 2027-05-01the item has its own article, page 3296134
#ULDCdefinitionFree moduledeferred until 2027-05-01the item has its own article, page 326454
#UPQ7definitionDirect sumdeferred until 2027-05-01the item has its own article, page 2084687
#UXC0definitionAlgebraically compact moduledeferred until 2027-05-01the item has its own article, page 478346
#VCPXtopicHomological algebradeferred until 2027-05-01a list or a glossary is not a node (WP9.1)
#VEY5definitionLocalization of a ringdeferred until 2027-05-01the item has its own article, page 252216
#VP20definitionGorenstein ringdeferred until 2027-05-01the item has its own article, page 515613
#VV7WdefinitionModule homomorphismdeferred until 2027-05-01the item has its own article, page 474118
#WZUAdefinitionField tracedeferred until 2027-05-01the item has its own article, page 457105
#X9H8definitionGlobal fielddeferred until 2027-05-01the item has its own article, page 288358
#XRUAdefinitionRadical of a moduledeferred until 2027-05-01the item has its own article, page 9379691
#XS53definitionFinite groupdeferred until 2027-05-01the item has its own article, page 323707
#XV37definitionConstructionsdeferred until 2027-05-01the cue heading names a section and not one item
#XW6NdefinitionNilpotent groupdeferred until 2027-05-01the item has its own article, page 144569
#Y66VdefinitionDirect sum of ringsdeferred until 2027-05-01the item has its own article, page 25063
#YAPQdefinitionDirect limitdeferred until 2027-05-01the item has its own article, page 211566
#YE00exampleApplicationsdeferred until 2027-05-01the cue heading names a section and not one item
#YPR6statementStructure theorem for finitely generated modules over a principal ideal domaindeferred until 2027-05-01the item has its own article, page 9902787
#ZB50definitionUniversal propertydeferred until 2027-05-01the item has its own article, page 32245
#ZOJWdefinitionQuotient groupdeferred until 2027-05-01the item has its own article, page 11526
#ZUPWdefinitionHyperbolic quaterniondeferred until 2027-05-01the item has its own article, page 1071730
#ZVEPdefinitionSemidirect productdeferred until 2027-05-01the item has its own article, page 48246
#ZVTOstatementArtin–Rees lemmadeferred until 2027-05-01the item has its own article, page 9553854
#ZZ4WdefinitionIntegral domaindeferred until 2027-05-01the item has its own article, page 15462
#ZZMGstatementHilbert's basis theoremdeferred until 2027-05-01the item has its own article, page 13733

Refer to Wikipedia articles and their nodes for the other articles.