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Category:Homological algebra

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This category has the following 6 subcategories, out of 7 total.
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The following 77 pages are in this category, out of 126 total.
255: 338: 231: 15: 829: 69: 421:Homological conjectures in commutative algebra 659:Secondary calculus and cohomological physics 39:techniques that originated in the study of 311:This list may not reflect recent changes 306:Pages in category "Homological algebra" 830: 458:Inflation-restriction exact sequence 436:Homotopy category of chain complexes 171: 43:but has also found applications to 13: 797:Weak equivalence (homotopy theory) 529:Mapping cone (homological algebra) 320: 183: 170: 14: 859: 384:Grothendieck's Tôhoku paper 18: 736:Topological Hochschild homology 731:Topological half-exact functor 534:Matrix factorization (algebra) 364:Gonality of an algebraic curve 1: 768:Universal coefficient theorem 406:Hilbert's syzygy theorem 554:Monsky–Washnitzer cohomology 431:Homotopy associative algebra 304: 7: 559:Motive (algebraic geometry) 549:Monad (homological algebra) 10: 864: 838:Fields of abstract algebra 54:The main article for this 53: 726:Tensor product of modules 664:Section (category theory) 613:Projective representation 593:Principal ideal theorem 401:Hilbert–Poincaré series 334:Gelfand–Fuks cohomology 517:Localizing subcategory 507:Lie algebra cohomology 490:Koszul–Tate resolution 473:Invariant basis number 756:Triangulated category 721:Tate cohomology group 669:Severi–Brauer variety 649:Schanuel's lemma 544:Mixed Hodge structure 426:Homological dimension 374:Grothendieck category 674:Shapiro's lemma 637:Resolution (algebra) 411:Hochschild homology 369:Grade (ring theory) 359:Godement resolution 211:Homotopical algebra 61:Homological algebra 35:is a collection of 33:Homological algebra 843:Algebraic topology 583:Persistence module 539:Mixed Hodge module 379:Grothendieck group 344:Giraud subcategory 285:Spectral sequences 49:algebraic geometry 41:algebraic topology 26:Mathematics portal 751:Transgression map 746:Torsion (algebra) 625:Quasi-isomorphism 608:Projective object 603:Projective module 329:Galois cohomology 855: 802:Weil conjectures 704:Standard complex 684:Short five lemma 679:Sheaf cohomology 654:Schur multiplier 598:Projective cover 463:Injective module 389:Group cohomology 349:Global dimension 290: 277: 264: 257: 240: 233: 216: 203: 196: 28: 23: 22: 863: 862: 858: 857: 856: 854: 853: 852: 848:Category theory 828: 827: 826: 820: 819: 818: 806: 784: 780:Verdier duality 772: 760: 708: 699:Splitting lemma 641: 629: 617: 575: 563: 521: 512:Linear relation 499: 495:Künneth theorem 477: 468:Injective sheaf 450: 441:Horseshoe lemma 416:Hodge structure 393: 303: 297: 296: 295: 292: 291: 279: 278: 272:Simplicial sets 266: 265: 254: 245: 242: 241: 230: 221: 218: 217: 205: 204: 198:Homology theory 193: 169: 168: 167: 166: 72: 65: 24: 17: 12: 11: 5: 861: 851: 850: 845: 840: 825:) (next page) 817: 816: 810: 807: 805: 804: 799: 794: 792:Weak dimension 788: 785: 783: 782: 776: 773: 771: 770: 764: 761: 759: 758: 753: 748: 743: 738: 733: 728: 723: 718: 712: 709: 707: 706: 701: 696: 691: 689:Six operations 686: 681: 676: 671: 666: 661: 656: 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