Knowledge

Category:Homological algebra

Source đź“ť

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 Tôhoku 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:Künneth 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:.

Index

icon
Mathematics portal
algebraic
algebraic topology
group theory
algebraic geometry
category
Homological algebra
Top
0–9
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑