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Category:Abstract algebra

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This category may require frequent maintenance to avoid becoming too large. It should directly contain very few, if any, pages and should mainly contain subcategories.
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This category has the following 8 subcategories, out of 12 total.
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The following 125 pages are in this category, out of 142 total.
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List of problems in loop theory and quasigroup theory
30:should be moved to subcategories where applicable. 1149: 992:Rayleigh's quotient in vibrations analysis 53: 354:This list may not reflect recent changes 1150: 590:Free product of associative algebras 349:Pages in category "Abstract algebra" 155: 15: 13: 555:Faltings' annihilator theorem 363: 167: 154: 14: 1169: 928:Polarization of an algebraic form 304:Vectors (mathematics and physics) 20: 775:Light's associativity test 422:Conformal linear transformation 716:Infrastructure (number theory) 1: 523:Eigenvalues and eigenvectors 491:Distribution (number theory) 347: 7: 1019:Sequential dynamical system 948:Principle of distributivity 896:Orthogonality (mathematics) 10: 1174: 1105:Word problem (mathematics) 674:Homomorphic secret sharing 617:Generating set of a module 607:Gelfand–Kirillov dimension 461:Differential graded module 387:Centralizer and normalizer 38:The main article for this 37: 1029:Simple (abstract algebra) 859:Emmy Noether bibliography 501:Distributive homomorphism 417:Conditional event algebra 965:Quadratic-linear algebra 765:Left and right (algebra) 701:Indeterminate (variable) 649:Hasse–Schmidt derivation 565:Filtration (mathematics) 538:Expression (mathematics) 800:Locally finite operator 627:Graded-commutative ring 622:Generator (mathematics) 28:Pages in this category 1049:Subfield of an algebra 842:Multiplicative inverse 817:Maximal common divisor 736:Irreducible polynomial 328:Abstract algebra stubs 1134:Zero-product property 1034:Skew-Hermitian matrix 997:Row and column spaces 943:Prime avoidance lemma 923:Polarization identity 550:Factorization algebra 437:Cycle graph (algebra) 392:Closure (mathematics) 1044:Split exact sequence 612:General linear group 496:Distribution algebra 397:Closure with a twist 908:Parallel (operator) 891:Ordered exponential 780:Linear independence 753:Kernel (set theory) 711:Information algebra 706:Infinite expression 669:Higher-order operad 644:Harmonic polynomial 575:Formal power series 560:Field (mathematics) 427:Congruence relation 1071:Topological module 982:Radical polynomial 970:Quasi-free algebra 506:Dixmier conjecture 448:Cylinder (algebra) 219:Ternary operations 741:Isomorphism class 721:Integrable module 585:Free presentation 570:Formal derivative 206:Binary operations 36: 35: 1165: 1039:Sklyanin algebra 933:Positive element 837:Multilinear form 691:Icosian calculus 632:Groupoid algebra 533:Euclidean vector 450: 382:Center (algebra) 333: 326: 309: 302: 285: 278: 261: 248: 241: 224: 211: 204: 187: 180: 45:Abstract algebra 24: 23: 16: 1173: 1172: 1168: 1167: 1166: 1164: 1163: 1162: 1148: 1147: 1146: 1140: 1139: 1138: 1121: 1109: 1097: 1093:Unitary element 1085: 1058: 1001: 987:Rational series 974: 957: 913:Perfect complex 900: 873: 846: 832:Moderne Algebra 822:Minimal algebra 809: 757: 745: 726:Inverse element 683: 659:Height function 636: 602:Garside element 594: 542: 510: 453: 446: 432:Cover (algebra) 377:Cauchy sequence 372:Canonical basis 346: 340: 339: 338: 335: 334: 323: 314: 311: 310: 299: 290: 287: 286: 275: 266: 263: 262: 256:Process calculi 250: 249: 238: 229: 226: 225: 213: 212: 201: 192: 189: 188: 177: 153: 152: 151: 150: 56: 49: 25: 21: 12: 11: 5: 1171: 1161: 1160: 1145:) (next page) 1137: 1136: 1131: 1125: 1122: 1120: 1119: 1117:Yoneda product 1113: 1110: 1108: 1107: 1101: 1098: 1096: 1095: 1089: 1086: 1084: 1083: 1078: 1073: 1068: 1066:Tertiary ideal 1062: 1059: 1057: 1056: 1051: 1046: 1041: 1036: 1031: 1026: 1021: 1016: 1011: 1005: 1002: 1000: 999: 994: 989: 984: 978: 975: 973: 972: 967: 961: 958: 956: 955: 950: 945: 940: 935: 930: 925: 920: 918:Poincaré space 915: 910: 904: 901: 899: 898: 893: 888: 886:Operad algebra 883: 877: 874: 872: 871: 869:Normal element 866: 861: 856: 850: 847: 845: 844: 839: 834: 829: 824: 819: 813: 810: 808: 807: 805:Lulu smoothing 802: 797: 792: 787: 782: 777: 772: 767: 761: 758: 756: 755: 749: 746: 744: 743: 738: 733: 728: 723: 718: 713: 708: 703: 698: 693: 687: 684: 682: 681: 679:Hyperstructure 676: 671: 666: 664:Hidden algebra 661: 656: 651: 646: 640: 637: 635: 634: 629: 624: 619: 614: 609: 604: 598: 595: 593: 592: 587: 582: 577: 572: 567: 562: 557: 552: 546: 543: 541: 540: 535: 530: 525: 520: 514: 511: 509: 508: 503: 498: 493: 488: 483: 481:Direct product 478: 473: 468: 463: 457: 454: 452: 451: 444: 439: 434: 429: 424: 419: 414: 409: 404: 399: 394: 389: 384: 379: 374: 368: 365: 364: 350: 345:) (next page) 337: 336: 322: 321: 318: 315: 313: 312: 298: 297: 294: 291: 289: 288: 274: 273: 270: 267: 265: 264: 254: 253: 251: 237: 236: 233: 230: 228: 227: 217: 216: 214: 200: 199: 196: 193: 191: 190: 176: 175: 172: 169: 168: 158: 149: 148: 68: 63: 57: 55: 52: 50: 34: 33: 26: 19: 9: 6: 4: 3: 2: 1170: 1159: 1156: 1155: 1153: 1144: 1143:previous page 1135: 1132: 1130: 1127: 1126: 1123: 1118: 1115: 1114: 1111: 1106: 1103: 1102: 1099: 1094: 1091: 1090: 1087: 1082: 1079: 1077: 1076:Total algebra 1074: 1072: 1069: 1067: 1064: 1063: 1060: 1055: 1052: 1050: 1047: 1045: 1042: 1040: 1037: 1035: 1032: 1030: 1027: 1025: 1022: 1020: 1017: 1015: 1012: 1010: 1009:Schur algebra 1007: 1006: 1003: 998: 995: 993: 990: 988: 985: 983: 980: 979: 976: 971: 968: 966: 963: 962: 959: 954: 953:Pseudoalgebra 951: 949: 946: 944: 941: 939: 936: 934: 931: 929: 926: 924: 921: 919: 916: 914: 911: 909: 906: 905: 902: 897: 894: 892: 889: 887: 884: 882: 879: 878: 875: 870: 867: 865: 862: 860: 857: 855: 852: 851: 848: 843: 840: 838: 835: 833: 830: 828: 827:Minimal ideal 825: 823: 820: 818: 815: 814: 811: 806: 803: 801: 798: 796: 793: 791: 788: 786: 783: 781: 778: 776: 773: 771: 768: 766: 763: 762: 759: 754: 751: 750: 747: 742: 739: 737: 734: 732: 731:Inverse limit 729: 727: 724: 722: 719: 717: 714: 712: 709: 707: 704: 702: 699: 697: 694: 692: 689: 688: 685: 680: 677: 675: 672: 670: 667: 665: 662: 660: 657: 655: 654:Hecke algebra 652: 650: 647: 645: 642: 641: 638: 633: 630: 628: 625: 623: 620: 618: 615: 613: 610: 608: 605: 603: 600: 599: 596: 591: 588: 586: 583: 581: 578: 576: 573: 571: 568: 566: 563: 561: 558: 556: 553: 551: 548: 547: 544: 539: 536: 534: 531: 529: 526: 524: 521: 519: 516: 515: 512: 507: 504: 502: 499: 497: 494: 492: 489: 487: 484: 482: 479: 477: 474: 472: 469: 467: 464: 462: 459: 458: 455: 449: 445: 443: 442:Cyclic vector 440: 438: 435: 433: 430: 428: 425: 423: 420: 418: 415: 413: 410: 408: 405: 403: 400: 398: 395: 393: 390: 388: 385: 383: 380: 378: 375: 373: 370: 369: 366: 362:) (next page) 361: 360:previous page 357: 355: 348: 344: 343:previous page 329: 325: 320: 319: 316: 305: 301: 296: 295: 292: 281: 277: 272: 271: 268: 257: 252: 247:(10 C, 219 P) 244: 240: 235: 234: 231: 220: 215: 207: 203: 198: 197: 194: 183: 179: 174: 173: 170: 166:) (next page) 165: 164:previous page 161: 157:Subcategories 156: 147: 144: 141: 138: 135: 132: 129: 126: 123: 120: 117: 114: 111: 108: 105: 102: 99: 96: 93: 90: 87: 84: 81: 78: 75: 72: 69: 67: 64: 62: 59: 58: 47: 46: 41: 31: 27: 18: 17: 1129:Zero divisor 1014:Self-adjoint 864:Normal basis 476:Direct limit 351: 332:(4 C, 138 P) 159: 43: 29: 1054:Subquotient 790:Linear span 580:Free object 308:(5 C, 36 P) 243:Polynomials 210:(9 C, 33 P) 186:(3 C, 29 P) 785:Linear map 770:Lie operad 486:Direct sum 412:Commutator 284:(3 C, 8 P) 1081:Transpose 854:Near sets 696:Idealizer 528:Embedding 518:E∞-operad 471:Dimension 182:Morphisms 54:Contents 1152:Category 407:Cokernel 40:category 1158:Algebra 938:Predual 466:Digroup 402:Coimage 280:Scalars 1024:Setoid 881:Operad 260:(20 P) 223:(8 P) 66:0–9 61:Top 42:is 1154:: 356:. 330:‎ 306:‎ 282:‎ 258:‎ 245:‎ 221:‎ 208:‎ 184:‎ 1141:( 1124:Z 1112:Y 1100:W 1088:U 1061:T 1004:S 977:R 960:Q 903:P 876:O 849:N 812:M 760:L 748:K 686:I 639:H 597:G 545:F 513:E 456:D 367:C 358:( 341:( 317:Σ 293:V 269:S 232:P 195:O 171:M 162:( 146:Z 143:Y 140:X 137:W 134:V 131:U 128:T 125:S 122:R 119:Q 116:P 113:O 110:N 107:M 104:L 101:K 98:J 95:I 92:H 89:G 86:F 83:E 80:D 77:C 74:B 71:A 48:.

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Abstract algebra
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