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Ockham algebra

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Polska Akademia Nauk. Institut Filozofii i Socijologii. Studia Logica
467:(1979), "Distributive lattices with a dual homomorphic operation", 15: 378:"Distributive lattices with an additional unary operation" 537: 48: 258:{\displaystyle \sim (x\vee y)={}\sim x\wedge {}\sim y} 199:{\displaystyle \sim (x\wedge y)={}\sim x\vee {}\sim y} 304: 273: 214: 155: 120: 96: 319: 288: 257: 198: 138: 102: 557: 8: 445:Blyth, Thomas Scott; Varlet, J. C. (1994). 564: 550: 488: 303: 272: 247: 236: 213: 188: 177: 154: 119: 95: 68:Learn how and when to remove this message 340: 332: 7: 518: 516: 350:Examples of Ockham algebras include 139:{\displaystyle \sim \colon L\to L} 14: 520: 20: 230: 218: 171: 159: 130: 1: 427:Blyth, Thomas Scott (2001) , 536:. You can help Knowledge by 449:. Oxford University Press. 434:Encyclopedia of Mathematics 609: 515: 343:. Ockham algebras form a 383:Aequationes Mathematicae 331:They were introduced by 320:{\displaystyle \sim 1=0} 289:{\displaystyle \sim 0=1} 114:, that is, an operation 335:, and were named after 532:-related article is a 321: 290: 259: 200: 140: 104: 29:This article includes 376:Berman, Joel (1977), 322: 291: 260: 201: 141: 105: 302: 271: 212: 153: 118: 94: 89:distributive lattice 80:In mathematics, an 490:10338.dmlcz/102014 481:10.1007/BF00370442 465:Urquhart, Alasdair 396:10.1007/BF01837887 356:De Morgan algebras 317: 286: 255: 196: 136: 100: 37:properly formatted 545: 544: 456:978-0-19-859938-8 337:William of Ockham 112:dual endomorphism 103:{\displaystyle L} 78: 77: 70: 600: 566: 559: 552: 524: 517: 509: 492: 460: 441: 429:"Ockham algebra" 414: 352:Boolean algebras 326: 324: 323: 318: 295: 293: 292: 287: 264: 262: 261: 256: 248: 237: 205: 203: 202: 197: 189: 178: 145: 143: 142: 137: 109: 107: 106: 101: 73: 66: 62: 59: 53: 51: 46:this article by 31:inline citations 24: 23: 16: 608: 607: 603: 602: 601: 599: 598: 597: 588:Ockham algebras 583:Algebraic logic 573: 572: 571: 570: 513: 463: 457: 447:Ockham algebras 444: 426: 375: 372: 360:Kleene algebras 341:Urquhart (1979) 300: 299: 269: 268: 210: 209: 151: 150: 116: 115: 92: 91: 74: 63: 57: 54: 49:correcting them 47: 41: 25: 21: 12: 11: 5: 606: 604: 596: 595: 590: 585: 575: 574: 569: 568: 561: 554: 546: 543: 542: 525: 511: 510: 475:(2): 201–209, 461: 455: 442: 424: 390:(1): 165–171, 371: 368: 364:Stone algebras 329: 328: 316: 313: 310: 307: 297: 285: 282: 279: 276: 266: 254: 251: 246: 243: 240: 235: 232: 229: 226: 223: 220: 217: 207: 195: 192: 187: 184: 181: 176: 173: 170: 167: 164: 161: 158: 135: 132: 129: 126: 123: 99: 82:Ockham algebra 76: 75: 28: 26: 19: 13: 10: 9: 6: 4: 3: 2: 605: 594: 593:Algebra stubs 591: 589: 586: 584: 581: 580: 578: 567: 562: 560: 555: 553: 548: 547: 541: 539: 535: 531: 526: 523: 519: 514: 508: 504: 500: 496: 491: 486: 482: 478: 474: 470: 466: 462: 458: 452: 448: 443: 440: 436: 435: 430: 425: 422: 418: 413: 409: 405: 401: 397: 393: 389: 385: 384: 379: 374: 373: 369: 367: 365: 361: 357: 353: 348: 346: 342: 338: 334: 333:Berman (1977) 314: 311: 308: 305: 298: 283: 280: 277: 274: 267: 252: 249: 244: 241: 238: 233: 227: 224: 221: 215: 208: 193: 190: 185: 182: 179: 174: 168: 165: 162: 156: 149: 148: 147: 133: 127: 124: 121: 113: 97: 90: 87: 83: 72: 69: 61: 50: 45: 40: 38: 35:they are not 32: 27: 18: 17: 538:expanding it 527: 512: 472: 468: 446: 432: 387: 381: 349: 330: 146:satisfying 81: 79: 64: 55: 34: 577:Categories 370:References 499:0039-3215 439:EMS Press 417:available 404:0001-9054 306:∼ 275:∼ 250:∼ 245:∧ 239:∼ 225:∨ 216:∼ 191:∼ 186:∨ 180:∼ 166:∧ 157:∼ 131:→ 125:: 122:∼ 58:May 2024 530:algebra 507:0544616 412:0480238 345:variety 110:with a 86:bounded 44:improve 42:Please 505:  497:  453:  410:  402:  362:, and 33:, but 528:This 419:from 415:(pdf 84:is a 534:stub 495:ISSN 451:ISBN 400:ISSN 485:hdl 477:doi 421:GDZ 392:doi 339:by 579:: 503:MR 501:, 493:, 483:, 473:38 471:, 437:, 431:, 408:MR 406:, 398:, 388:16 386:, 380:, 366:. 358:, 354:, 347:. 565:e 558:t 551:v 540:. 487:: 479:: 459:. 423:) 394:: 327:. 315:0 312:= 309:1 296:, 284:1 281:= 278:0 265:, 253:y 242:x 234:= 231:) 228:y 222:x 219:( 206:, 194:y 183:x 175:= 172:) 169:y 163:x 160:( 134:L 128:L 98:L 71:) 65:( 60:) 56:( 52:. 39:.

Index

inline citations
properly formatted
improve
correcting them
Learn how and when to remove this message
bounded
distributive lattice
dual endomorphism
Berman (1977)
William of Ockham
Urquhart (1979)
variety
Boolean algebras
De Morgan algebras
Kleene algebras
Stone algebras
"Distributive lattices with an additional unary operation"
Aequationes Mathematicae
doi
10.1007/BF01837887
ISSN
0001-9054
MR
0480238
available
GDZ
"Ockham algebra"
Encyclopedia of Mathematics
EMS Press
ISBN

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