20:
324:
722:
960:
759:
737:
1134:
1098:
830:
341:
685:
855:
1037:
608:
432:
1032:
835:
665:
551:
702:
1069:
732:
556:
514:
346:
229:
707:
1139:
860:
850:
635:
546:
509:
303:
791:
1027:
970:
965:
914:
405:
192:
1144:
479:
290:
216:
894:
447:
161:
158:
155:
152:
149:
146:
143:
140:
137:
134:
131:
128:
125:
122:
119:
116:
113:
110:
107:
104:
101:
98:
95:
92:
89:
86:
81:
818:
808:
774:
598:
524:
462:
452:
415:
1057:
1022:
845:
727:
675:
534:
388:
277:
938:
950:
8:
712:
670:
660:
457:
336:
60:
975:
561:
884:
840:
680:
645:
484:
48:
40:
25:
796:
1052:
1047:
926:
909:
904:
630:
253:
19:
1103:
1005:
985:
980:
955:
899:
764:
690:
650:
603:
499:
383:
368:
67:
36:
1081:
1000:
813:
769:
742:
717:
504:
467:
442:
393:
363:
307:
294:
281:
233:
220:
196:
55:
1093:
990:
889:
786:
576:
566:
529:
378:
257:
1128:
1115:
747:
571:
489:
437:
373:
655:
358:
44:
1042:
1017:
995:
618:
586:
427:
410:
872:
613:
76:
494:
581:
519:
189:
213:
323:
The following 126 pages are in this category, out of 126 total.
176:
This category has the following 7 subcategories, out of 7 total.
274:
640:
250:
15:
1126:
69:
723:Homological conjectures in commutative algebra
961:Secondary calculus and cohomological physics
39:techniques that originated in the study of
325:This list may not reflect recent changes
320:Pages in category "Homological algebra"
1127:
760:Inflation-restriction exact sequence
738:Homotopy category of chain complexes
171:
43:but has also found applications to
13:
1099:Weak equivalence (homotopy theory)
831:Mapping cone (homological algebra)
342:List of homological algebra topics
329:
178:
170:
14:
1156:
686:Grothendieck's TĂ´hoku paper
18:
1038:Topological Hochschild homology
609:Finiteness properties of groups
1033:Topological half-exact functor
836:Matrix factorization (algebra)
666:Gonality of an algebraic curve
1:
1070:Universal coefficient theorem
708:Hilbert's syzygy theorem
856:Monsky–Washnitzer cohomology
733:Homotopy associative algebra
515:Differential graded category
347:Semiorthogonal decomposition
318:
7:
861:Motive (algebraic geometry)
851:Monad (homological algebra)
510:Differential graded algebra
433:Cartan–Eilenberg resolution
10:
1161:
1135:Fields of abstract algebra
552:Eilenberg–Maclane spectrum
54:The main article for this
53:
1028:Tensor product of modules
966:Section (category theory)
915:Projective representation
406:Banach algebra cohomology
557:Eilenberg–Zilber theorem
895:Principal ideal theorem
703:Hilbert–Poincaré series
636:Gelfand–Fuks cohomology
547:Eilenberg–Ganea theorem
448:Cohomological dimension
819:Localizing subcategory
809:Lie algebra cohomology
792:Koszul–Tate resolution
775:Invariant basis number
599:Factorization homology
525:Direct limit of groups
463:Crystalline cohomology
453:Cohomology of algebras
416:Bockstein homomorphism
1058:Triangulated category
1023:Tate cohomology group
971:Severi–Brauer variety
951:Schanuel's lemma
846:Mixed Hodge structure
728:Homological dimension
676:Grothendieck category
535:Dual Steenrod algebra
389:Affine representation
976:Shapiro's lemma
939:Resolution (algebra)
480:De Rham–Weil theorem
713:Hochschild homology
671:Grade (ring theory)
661:Godement resolution
458:Commutative diagram
337:Homological algebra
230:Homotopical algebra
61:Homological algebra
35:is a collection of
33:Homological algebra
1140:Algebraic topology
885:Persistence module
841:Mixed Hodge module
681:Grothendieck group
646:Giraud subcategory
485:Deligne cohomology
304:Spectral sequences
49:algebraic geometry
41:algebraic topology
26:Mathematics portal
1053:Transgression map
1048:Torsion (algebra)
927:Quasi-isomorphism
910:Projective object
905:Projective module
631:Galois cohomology
1152:
1104:Weil conjectures
1006:Standard complex
986:Short five lemma
981:Sheaf cohomology
956:Schur multiplier
900:Projective cover
765:Injective module
691:Group cohomology
651:Global dimension
604:Filtered algebra
562:Étale cohomology
500:Derived category
384:Adams resolution
369:Abelian category
309:
296:
283:
276:
259:
252:
235:
222:
215:
198:
193:Duality theories
191:
28:
23:
22:
1160:
1159:
1155:
1154:
1153:
1151:
1150:
1149:
1145:Category theory
1125:
1124:
1123:
1122:
1121:
1120:
1108:
1086:
1082:Verdier duality
1074:
1062:
1010:
1001:Splitting lemma
943:
931:
919:
877:
865:
823:
814:Linear relation
801:
797:KĂĽnneth theorem
779:
770:Injective sheaf
752:
743:Horseshoe lemma
718:Hodge structure
695:
623:
591:
539:
505:Derived functor
472:
468:Cyclic homology
443:Chiral homology
420:
398:
394:Amitsur complex
364:Abelian 2-group
351:
317:
316:
315:
314:
311:
310:
298:
297:
291:Simplicial sets
285:
284:
273:
264:
261:
260:
249:
240:
237:
236:
224:
223:
217:Homology theory
212:
203:
200:
199:
188:
169:
168:
167:
166:
72:
65:
24:
17:
12:
11:
5:
1158:
1148:
1147:
1142:
1137:
1119:
1118:
1112:
1109:
1107:
1106:
1101:
1096:
1094:Weak dimension
1090:
1087:
1085:
1084:
1078:
1075:
1073:
1072:
1066:
1063:
1061:
1060:
1055:
1050:
1045:
1040:
1035:
1030:
1025:
1020:
1014:
1011:
1009:
1008:
1003:
998:
993:
991:Six operations
988:
983:
978:
973:
968:
963:
958:
953:
947:
944:
942:
941:
935:
932:
930:
929:
923:
920:
918:
917:
912:
907:
902:
897:
892:
890:Perverse sheaf
887:
881:
878:
876:
875:
869:
866:
864:
863:
858:
853:
848:
843:
838:
833:
827:
824:
822:
821:
816:
811:
805:
802:
800:
799:
794:
789:
787:Koszul complex
783:
780:
778:
777:
772:
767:
762:
756:
753:
751:
750:
745:
740:
735:
730:
725:
720:
715:
710:
705:
699:
696:
694:
693:
688:
683:
678:
673:
668:
663:
658:
653:
648:
643:
638:
633:
627:
624:
622:
621:
616:
611:
606:
601:
595:
592:
590:
589:
584:
579:
577:Exact sequence
574:
569:
567:Exact category
564:
559:
554:
549:
543:
540:
538:
537:
532:
530:Double complex
527:
522:
517:
512:
507:
502:
497:
492:
487:
482:
476:
473:
471:
470:
465:
460:
455:
450:
445:
440:
435:
430:
424:
421:
419:
418:
413:
408:
402:
399:
397:
396:
391:
386:
381:
379:Acyclic object
376:
371:
366:
361:
355:
352:
350:
349:
344:
339:
333:
331:
330:
321:
313:
312:
302:
301:
299:
289:
288:
286:
272:
271:
268:
265:
263:
262:
248:
247:
244:
241:
239:
238:
228:
227:
225:
211:
210:
207:
204:
202:
201:
187:
186:
183:
180:
179:
174:
165:
164:
84:
79:
73:
71:
68:
66:
30:
29:
9:
6:
4:
3:
2:
1157:
1146:
1143:
1141:
1138:
1136:
1133:
1132:
1130:
1117:
1116:Zig-zag lemma
1114:
1113:
1110:
1105:
1102:
1100:
1097:
1095:
1092:
1091:
1088:
1083:
1080:
1079:
1076:
1071:
1068:
1067:
1064:
1059:
1056:
1054:
1051:
1049:
1046:
1044:
1041:
1039:
1036:
1034:
1031:
1029:
1026:
1024:
1021:
1019:
1016:
1015:
1012:
1007:
1004:
1002:
999:
997:
994:
992:
989:
987:
984:
982:
979:
977:
974:
972:
969:
967:
964:
962:
959:
957:
954:
952:
949:
948:
945:
940:
937:
936:
933:
928:
925:
924:
921:
916:
913:
911:
908:
906:
903:
901:
898:
896:
893:
891:
888:
886:
883:
882:
879:
874:
871:
870:
867:
862:
859:
857:
854:
852:
849:
847:
844:
842:
839:
837:
834:
832:
829:
828:
825:
820:
817:
815:
812:
810:
807:
806:
803:
798:
795:
793:
790:
788:
785:
784:
781:
776:
773:
771:
768:
766:
763:
761:
758:
757:
754:
749:
748:Hyperhomology
746:
744:
741:
739:
736:
734:
731:
729:
726:
724:
721:
719:
716:
714:
711:
709:
706:
704:
701:
700:
697:
692:
689:
687:
684:
682:
679:
677:
674:
672:
669:
667:
664:
662:
659:
657:
654:
652:
649:
647:
644:
642:
639:
637:
634:
632:
629:
628:
625:
620:
617:
615:
612:
610:
607:
605:
602:
600:
597:
596:
593:
588:
585:
583:
580:
578:
575:
573:
572:Exact functor
570:
568:
565:
563:
560:
558:
555:
553:
550:
548:
545:
544:
541:
536:
533:
531:
528:
526:
523:
521:
518:
516:
513:
511:
508:
506:
503:
501:
498:
496:
493:
491:
490:Delta-functor
488:
486:
483:
481:
478:
477:
474:
469:
466:
464:
461:
459:
456:
454:
451:
449:
446:
444:
441:
439:
438:Chain complex
436:
434:
431:
429:
426:
425:
422:
417:
414:
412:
409:
407:
404:
403:
400:
395:
392:
390:
387:
385:
382:
380:
377:
375:
374:Acyclic model
372:
370:
367:
365:
362:
360:
357:
356:
353:
348:
345:
343:
340:
338:
335:
334:
332:
328:
326:
319:
305:
300:
292:
287:
279:
275:
270:
269:
266:
255:
251:
246:
245:
242:
231:
226:
218:
214:
209:
208:
205:
194:
190:
185:
184:
181:
177:
173:Subcategories
172:
163:
160:
157:
154:
151:
148:
145:
142:
139:
136:
133:
130:
127:
124:
121:
118:
115:
112:
109:
106:
103:
100:
97:
94:
91:
88:
85:
83:
80:
78:
75:
74:
63:
62:
57:
52:
50:
46:
42:
38:
34:
27:
21:
16:
656:Gluing axiom
359:AB5 category
322:
278:Sheaf theory
175:
59:
45:group theory
32:
31:
1043:Tor functor
1018:T-structure
996:Snake lemma
619:Flat module
587:Ext functor
428:Cartan pair
411:Bass number
282:(2 C, 57 P)
258:(1 C, 36 P)
221:(2 C, 50 P)
197:(4 C, 69 P)
1129:Categories
873:Nine lemma
614:Five lemma
495:Derivator
70:Contents
37:algebraic
582:Exalcomm
520:Diffiety
254:K-theory
56:category
308:(20 P)
295:(29 P)
234:(13 P)
641:Gerbe
47:and
82:0–9
77:Top
58:is
1131::
327:.
306:‎
293:‎
280:‎
256:‎
232:‎
219:‎
195:‎
51:.
1111:Z
1089:W
1077:V
1065:U
1013:T
946:S
934:R
922:Q
880:P
868:N
826:M
804:L
782:K
755:I
698:H
626:G
594:F
542:E
475:D
423:C
401:B
354:A
267:S
243:K
206:H
182:D
162:Z
159:Y
156:X
153:W
150:V
147:U
144:T
141:S
138:R
135:Q
132:P
129:O
126:N
123:M
120:L
117:K
114:J
111:I
108:H
105:G
102:F
99:E
96:D
93:C
90:B
87:A
64:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.