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Category:Homological algebra

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The following 123 pages are in this category, out of 126 total.
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This category has the following 7 subcategories, out of 7 total.
279: 634: 255: 15: 1125: 69: 717:Homological conjectures in commutative algebra 955:Secondary calculus and cohomological physics 39:techniques that originated in the study of 335:This list may not reflect recent changes 330:Pages in category "Homological algebra" 1126: 754:Inflation-restriction exact sequence 732:Homotopy category of chain complexes 171: 43:but has also found applications to 13: 1093:Weak equivalence (homotopy theory) 825:Mapping cone (homological algebra) 344: 183: 170: 14: 1155: 680:Grothendieck's Tôhoku paper 18: 1032:Topological Hochschild homology 603:Finiteness properties of groups 1027:Topological half-exact functor 830:Matrix factorization (algebra) 660:Gonality of an algebraic curve 1: 1064:Universal coefficient theorem 702:Hilbert's syzygy theorem 850:Monsky–Washnitzer cohomology 727:Homotopy associative algebra 509:Differential graded category 328: 7: 855:Motive (algebraic geometry) 845:Monad (homological algebra) 504:Differential graded algebra 427:Cartan–Eilenberg resolution 10: 1160: 1134:Fields of abstract algebra 546:Eilenberg–Maclane spectrum 54:The main article for this 53: 1022:Tensor product of modules 960:Section (category theory) 909:Projective representation 400:Banach algebra cohomology 551:Eilenberg–Zilber theorem 889:Principal ideal theorem 697:Hilbert–Poincaré series 630:Gelfand–Fuks cohomology 541:Eilenberg–Ganea theorem 442:Cohomological dimension 813:Localizing subcategory 803:Lie algebra cohomology 786:Koszul–Tate resolution 769:Invariant basis number 593:Factorization homology 519:Direct limit of groups 457:Crystalline cohomology 447:Cohomology of algebras 410:Bockstein homomorphism 1052:Triangulated category 1017:Tate cohomology group 965:Severi–Brauer variety 945:Schanuel's lemma 840:Mixed Hodge structure 722:Homological dimension 670:Grothendieck category 529:Dual Steenrod algebra 383:Affine representation 970:Shapiro's lemma 933:Resolution (algebra) 474:De Rham–Weil theorem 707:Hochschild homology 665:Grade (ring theory) 655:Godement resolution 452:Commutative diagram 235:Homotopical algebra 61:Homological algebra 35:is a collection of 33:Homological algebra 1139:Algebraic topology 879:Persistence module 835:Mixed Hodge module 675:Grothendieck group 640:Giraud subcategory 479:Deligne cohomology 309:Spectral sequences 49:algebraic geometry 41:algebraic topology 26:Mathematics portal 1047:Transgression map 1042:Torsion (algebra) 921:Quasi-isomorphism 904:Projective object 899:Projective module 625:Galois cohomology 1151: 1098:Weil conjectures 1000:Standard complex 980:Short five lemma 975:Sheaf cohomology 950:Schur multiplier 894:Projective cover 759:Injective module 685:Group cohomology 645:Global dimension 598:Filtered algebra 556:Étale cohomology 494:Derived category 378:Adams resolution 363:Abelian category 314: 301: 288: 281: 264: 257: 240: 227: 220: 203: 198:Duality theories 196: 28: 23: 22: 1159: 1158: 1154: 1153: 1152: 1150: 1149: 1148: 1144:Category theory 1124: 1123: 1122: 1116: 1115: 1114: 1102: 1080: 1076:Verdier duality 1068: 1056: 1004: 995:Splitting lemma 937: 925: 913: 871: 859: 817: 808:Linear relation 795: 791:Künneth theorem 773: 764:Injective sheaf 746: 737:Horseshoe lemma 712:Hodge structure 689: 617: 585: 533: 499:Derived functor 466: 462:Cyclic homology 437:Chiral homology 414: 392: 388:Amitsur complex 358:Abelian 2-group 327: 321: 320: 319: 316: 315: 303: 302: 296:Simplicial sets 290: 289: 278: 269: 266: 265: 254: 245: 242: 241: 229: 228: 222:Homology theory 217: 208: 205: 204: 193: 169: 168: 167: 166: 72: 65: 24: 17: 12: 11: 5: 1157: 1147: 1146: 1141: 1136: 1121:) (next page) 1113: 1112: 1106: 1103: 1101: 1100: 1095: 1090: 1088:Weak dimension 1084: 1081: 1079: 1078: 1072: 1069: 1067: 1066: 1060: 1057: 1055: 1054: 1049: 1044: 1039: 1034: 1029: 1024: 1019: 1014: 1008: 1005: 1003: 1002: 997: 992: 987: 985:Six operations 982: 977: 972: 967: 962: 957: 952: 947: 941: 938: 936: 935: 929: 926: 924: 923: 917: 914: 912: 911: 906: 901: 896: 891: 886: 884:Perverse sheaf 881: 875: 872: 870: 869: 863: 860: 858: 857: 852: 847: 842: 837: 832: 827: 821: 818: 816: 815: 810: 805: 799: 796: 794: 793: 788: 783: 781:Koszul complex 777: 774: 772: 771: 766: 761: 756: 750: 747: 745: 744: 739: 734: 729: 724: 719: 714: 709: 704: 699: 693: 690: 688: 687: 682: 677: 672: 667: 662: 657: 652: 647: 642: 637: 632: 627: 621: 618: 616: 615: 610: 605: 600: 595: 589: 586: 584: 583: 578: 573: 571:Exact sequence 568: 563: 561:Exact category 558: 553: 548: 543: 537: 534: 532: 531: 526: 524:Double complex 521: 516: 511: 506: 501: 496: 491: 486: 481: 476: 470: 467: 465: 464: 459: 454: 449: 444: 439: 434: 429: 424: 418: 415: 413: 412: 407: 402: 396: 393: 391: 390: 385: 380: 375: 373:Acyclic object 370: 365: 360: 355: 349: 346: 345: 331: 326:) (next page) 318: 317: 307: 306: 304: 294: 293: 291: 277: 276: 273: 270: 268: 267: 253: 252: 249: 246: 244: 243: 233: 232: 230: 216: 215: 212: 209: 207: 206: 192: 191: 188: 185: 184: 174: 165: 164: 84: 79: 73: 71: 68: 66: 30: 29: 9: 6: 4: 3: 2: 1156: 1145: 1142: 1140: 1137: 1135: 1132: 1131: 1129: 1120: 1119:previous page 1111: 1110:Zig-zag lemma 1108: 1107: 1104: 1099: 1096: 1094: 1091: 1089: 1086: 1085: 1082: 1077: 1074: 1073: 1070: 1065: 1062: 1061: 1058: 1053: 1050: 1048: 1045: 1043: 1040: 1038: 1035: 1033: 1030: 1028: 1025: 1023: 1020: 1018: 1015: 1013: 1010: 1009: 1006: 1001: 998: 996: 993: 991: 988: 986: 983: 981: 978: 976: 973: 971: 968: 966: 963: 961: 958: 956: 953: 951: 948: 946: 943: 942: 939: 934: 931: 930: 927: 922: 919: 918: 915: 910: 907: 905: 902: 900: 897: 895: 892: 890: 887: 885: 882: 880: 877: 876: 873: 868: 865: 864: 861: 856: 853: 851: 848: 846: 843: 841: 838: 836: 833: 831: 828: 826: 823: 822: 819: 814: 811: 809: 806: 804: 801: 800: 797: 792: 789: 787: 784: 782: 779: 778: 775: 770: 767: 765: 762: 760: 757: 755: 752: 751: 748: 743: 742:Hyperhomology 740: 738: 735: 733: 730: 728: 725: 723: 720: 718: 715: 713: 710: 708: 705: 703: 700: 698: 695: 694: 691: 686: 683: 681: 678: 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