Knowledge (XXG)

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 12 subcategories, out of 12 total.
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The following 142 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. 477:Proofs involving the addition of natural numbers 1166:Rayleigh's quotient in vibrations analysis 8: 428:This list may not reflect recent changes 7: 764:Free product of associative algebras 423:Pages in category "Abstract algebra" 729:Faltings' annihilator theorem 432: 403: 379: 355: 318: 281: 257: 233: 196: 172: 162: 154: 14: 1102:Polarization of an algebraic form 383:Vectors (mathematics and physics) 220:Algebraic properties of elements 20: 949:Light's associativity test 596:Conformal linear transformation 445:List of abstract algebra topics 890:Infrastructure (number theory) 1: 697:Eigenvalues and eigenvectors 665:Distribution (number theory) 529:Bifundamental representation 176:Theorems in abstract algebra 1193:Sequential dynamical system 1122:Principle of distributivity 1070:Orthogonality (mathematics) 524:Bendixson's inequality 1343: 1279:Word problem (mathematics) 848:Homomorphic secret sharing 791:Generating set of a module 781:Gelfand–Kirillov dimension 635:Differential graded module 561:Centralizer and normalizer 200:Fields of abstract algebra 38:The main article for this 37: 1203:Simple (abstract algebra) 1033:Emmy Noether bibliography 675:Distributive homomorphism 591:Conditional event algebra 1139:Quadratic-linear algebra 939:Left and right (algebra) 875:Indeterminate (variable) 823:Hasse–Schmidt derivation 739:Filtration (mathematics) 712:Expression (mathematics) 462:Absolute value (algebra) 974:Locally finite operator 801:Graded-commutative ring 796:Generator (mathematics) 28:Pages in this category 1223:Subfield of an algebra 1016:Multiplicative inverse 991:Maximal common divisor 910:Irreducible polynomial 497:Algebraic independence 407:Abstract algebra stubs 1308:Zero-product property 1208:Skew-Hermitian matrix 1171:Row and column spaces 1117:Prime avoidance lemma 1097:Polarization identity 724:Factorization algebra 611:Cycle graph (algebra) 566:Closure (mathematics) 467:Absolutely convex set 1218:Split exact sequence 786:General linear group 670:Distribution algebra 571:Closure with a twist 237:Algebraic structures 1082:Parallel (operator) 1065:Ordered exponential 954:Linear independence 927:Kernel (set theory) 885:Information algebra 880:Infinite expression 843:Higher-order operad 818:Harmonic polynomial 749:Formal power series 734:Field (mathematics) 601:Congruence relation 502:Algebraic structure 1245:Topological module 1156:Radical polynomial 1144:Quasi-free algebra 680:Dixmier conjecture 622:Cylinder (algebra) 298:Ternary operations 915:Isomorphism class 895:Integrable module 759:Free presentation 744:Formal derivative 492:Algebraic element 482:Additive identity 285:Binary operations 36: 35: 1334: 1213:Sklyanin algebra 1107:Positive element 1011:Multilinear form 865:Icosian calculus 806:Groupoid algebra 707:Euclidean vector 624: 556:Center (algebra) 487:Additive inverse 440:Abstract algebra 412: 405: 388: 381: 364: 357: 340: 327: 320: 303: 290: 283: 266: 259: 242: 235: 225: 205: 198: 181: 174: 45:Abstract algebra 24: 23: 16: 1342: 1341: 1337: 1336: 1335: 1333: 1332: 1331: 1317: 1316: 1315: 1314: 1313: 1312: 1295: 1283: 1271: 1267:Unitary element 1259: 1232: 1175: 1161:Rational series 1148: 1131: 1087:Perfect complex 1074: 1047: 1020: 1006:Moderne Algebra 996:Minimal algebra 983: 931: 919: 900:Inverse element 857: 833:Height function 810: 776:Garside element 768: 716: 684: 627: 620: 606:Cover (algebra) 551:Cauchy sequence 546:Canonical basis 538: 516: 449: 420: 419: 418: 417: 414: 413: 402: 393: 390: 389: 378: 369: 366: 365: 354: 345: 342: 341: 335:Process calculi 329: 328: 317: 308: 305: 304: 292: 291: 280: 271: 268: 267: 256: 247: 244: 243: 232: 227: 226: 210: 207: 206: 195: 186: 183: 182: 171: 153: 152: 151: 150: 56: 49: 25: 21: 12: 11: 5: 1340: 1338: 1330: 1329: 1319: 1318: 1311: 1310: 1305: 1299: 1296: 1294: 1293: 1291:Yoneda product 1287: 1284: 1282: 1281: 1275: 1272: 1270: 1269: 1263: 1260: 1258: 1257: 1252: 1247: 1242: 1240:Tertiary ideal 1236: 1233: 1231: 1230: 1225: 1220: 1215: 1210: 1205: 1200: 1195: 1190: 1185: 1179: 1176: 1174: 1173: 1168: 1163: 1158: 1152: 1149: 1147: 1146: 1141: 1135: 1132: 1130: 1129: 1124: 1119: 1114: 1109: 1104: 1099: 1094: 1092:Poincaré space 1089: 1084: 1078: 1075: 1073: 1072: 1067: 1062: 1060:Operad algebra 1057: 1051: 1048: 1046: 1045: 1043:Normal element 1040: 1035: 1030: 1024: 1021: 1019: 1018: 1013: 1008: 1003: 998: 993: 987: 984: 982: 981: 979:Lulu smoothing 976: 971: 966: 961: 956: 951: 946: 941: 935: 932: 930: 929: 923: 920: 918: 917: 912: 907: 902: 897: 892: 887: 882: 877: 872: 867: 861: 858: 856: 855: 853:Hyperstructure 850: 845: 840: 838:Hidden algebra 835: 830: 825: 820: 814: 811: 809: 808: 803: 798: 793: 788: 783: 778: 772: 769: 767: 766: 761: 756: 751: 746: 741: 736: 731: 726: 720: 717: 715: 714: 709: 704: 699: 694: 688: 685: 683: 682: 677: 672: 667: 662: 657: 655:Direct product 652: 647: 642: 637: 631: 628: 626: 625: 618: 613: 608: 603: 598: 593: 588: 583: 578: 573: 568: 563: 558: 553: 548: 542: 539: 537: 536: 531: 526: 520: 517: 515: 514: 509: 504: 499: 494: 489: 484: 479: 474: 472:Absorption law 469: 464: 459: 453: 450: 448: 447: 442: 436: 434: 433: 424: 421: 416: 415: 401: 400: 397: 394: 392: 391: 377: 376: 373: 370: 368: 367: 353: 352: 349: 346: 344: 343: 333: 332: 330: 316: 315: 312: 309: 307: 306: 296: 295: 293: 279: 278: 275: 272: 270: 269: 255: 254: 251: 248: 246: 245: 231: 230: 228: 218: 217: 214: 211: 209: 208: 194: 193: 190: 187: 185: 184: 170: 169: 166: 164: 163: 158: 155: 149: 148: 68: 63: 57: 55: 52: 50: 34: 33: 26: 19: 13: 10: 9: 6: 4: 3: 2: 1339: 1328: 1325: 1324: 1322: 1309: 1306: 1304: 1301: 1300: 1297: 1292: 1289: 1288: 1285: 1280: 1277: 1276: 1273: 1268: 1265: 1264: 1261: 1256: 1253: 1251: 1250:Total algebra 1248: 1246: 1243: 1241: 1238: 1237: 1234: 1229: 1226: 1224: 1221: 1219: 1216: 1214: 1211: 1209: 1206: 1204: 1201: 1199: 1196: 1194: 1191: 1189: 1186: 1184: 1183:Schur algebra 1181: 1180: 1177: 1172: 1169: 1167: 1164: 1162: 1159: 1157: 1154: 1153: 1150: 1145: 1142: 1140: 1137: 1136: 1133: 1128: 1127:Pseudoalgebra 1125: 1123: 1120: 1118: 1115: 1113: 1110: 1108: 1105: 1103: 1100: 1098: 1095: 1093: 1090: 1088: 1085: 1083: 1080: 1079: 1076: 1071: 1068: 1066: 1063: 1061: 1058: 1056: 1053: 1052: 1049: 1044: 1041: 1039: 1036: 1034: 1031: 1029: 1026: 1025: 1022: 1017: 1014: 1012: 1009: 1007: 1004: 1002: 1001:Minimal ideal 999: 997: 994: 992: 989: 988: 985: 980: 977: 975: 972: 970: 967: 965: 962: 960: 957: 955: 952: 950: 947: 945: 942: 940: 937: 936: 933: 928: 925: 924: 921: 916: 913: 911: 908: 906: 905:Inverse limit 903: 901: 898: 896: 893: 891: 888: 886: 883: 881: 878: 876: 873: 871: 868: 866: 863: 862: 859: 854: 851: 849: 846: 844: 841: 839: 836: 834: 831: 829: 828:Hecke algebra 826: 824: 821: 819: 816: 815: 812: 807: 804: 802: 799: 797: 794: 792: 789: 787: 784: 782: 779: 777: 774: 773: 770: 765: 762: 760: 757: 755: 752: 750: 747: 745: 742: 740: 737: 735: 732: 730: 727: 725: 722: 721: 718: 713: 710: 708: 705: 703: 700: 698: 695: 693: 690: 689: 686: 681: 678: 676: 673: 671: 668: 666: 663: 661: 658: 656: 653: 651: 648: 646: 643: 641: 638: 636: 633: 632: 629: 623: 619: 617: 616:Cyclic vector 614: 612: 609: 607: 604: 602: 599: 597: 594: 592: 589: 587: 584: 582: 579: 577: 574: 572: 569: 567: 564: 562: 559: 557: 554: 552: 549: 547: 544: 543: 540: 535: 534:Bilinear form 532: 530: 527: 525: 522: 521: 518: 513: 510: 508: 505: 503: 500: 498: 495: 493: 490: 488: 485: 483: 480: 478: 475: 473: 470: 468: 465: 463: 460: 458: 455: 454: 451: 446: 443: 441: 438: 437: 435: 431: 429: 422: 408: 404: 399: 398: 395: 384: 380: 375: 374: 371: 360: 356: 351: 350: 347: 336: 331: 326:(10 C, 219 P) 323: 319: 314: 313: 310: 299: 294: 286: 282: 277: 276: 273: 262: 258: 253: 252: 249: 238: 234: 229: 221: 216: 215: 212: 201: 197: 192: 191: 188: 177: 173: 168: 167: 165: 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: 53: 47: 46: 41: 31: 27: 18: 17: 1303:Zero divisor 1188:Self-adjoint 1038:Normal basis 650:Direct limit 512:Automorphism 425: 411:(4 C, 138 P) 241:(9 C, 110 P) 159: 43: 29: 1228:Subquotient 964:Linear span 754:Free object 387:(5 C, 36 P) 322:Polynomials 289:(9 C, 33 P) 265:(3 C, 29 P) 204:(18 C, 1 P) 180:(9 C, 23 P) 959:Linear map 944:Lie operad 660:Direct sum 586:Commutator 363:(3 C, 8 P) 1255:Transpose 1028:Near sets 870:Idealizer 702:Embedding 692:E∞-operad 645:Dimension 457:A∞-operad 261:Morphisms 54:Contents 1321:Category 581:Cokernel 40:category 1327:Algebra 1112:Predual 640:Digroup 576:Coimage 359:Scalars 1198:Setoid 1055:Operad 339:(20 P) 224:(11 P) 507:Arity 302:(8 P) 66:0–9 61:Top 42:is 1323:: 430:. 409:‎ 385:‎ 361:‎ 337:‎ 324:‎ 300:‎ 287:‎ 263:‎ 239:‎ 222:‎ 202:‎ 178:‎ 1298:Z 1286:Y 1274:W 1262:U 1235:T 1178:S 1151:R 1134:Q 1077:P 1050:O 1023:N 986:M 934:L 922:K 860:I 813:H 771:G 719:F 687:E 630:D 541:C 519:B 452:A 396:Σ 372:V 348:S 311:P 274:O 250:M 213:A 189:* 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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