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Irrelevant ideal

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not equal to the irrelevant ideal. More generally, for an arbitrary graded ring
377: 320: 187: 420: 263: 259: 110: 37: 29: 17: 91: 365: 274:, vol. 29 (Reprint of the 1960 ed.), Berlin, New York: 36:
of degree greater than zero. It corresponds to the origin in the
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Commutative algebra with a view toward algebraic geometry
418: 59:The terminology arises from the connection with 401: 344: 258: 145: 237:, vol. 52, New York: Springer-Verlag, 40:, which cannot be mapped to a point in the 408: 394: 351: 337: 223: 169: 157: 186: 419: 360: 303: 125:disregards all irrelevant ideals of 198:, vol. 150, Berlin, New York: 13: 14: 453: 364: 307: 56:contains the irrelevant ideal. 163: 151: 139: 48:of a graded ring is called an 1: 272:Graduate Texts in Mathematics 268:Commutative algebra volume II 235:Graduate Texts in Mathematics 196:Graduate Texts in Mathematics 179: 380:. You can help Knowledge by 323:. You can help Knowledge by 86:) is graded with respect to 73:multivariate polynomial ring 7: 10: 458: 359: 302: 81:algebraically closed field 437:Commutative algebra stubs 146:Zariski & Samuel 1975 96:projective algebraic sets 442:Algebraic geometry stubs 185:Sections 1.5 and 1.8 of 132: 92:bijective correspondence 376:–related article is a 319:-related article is a 79:+1 variables over an 44:. More generally, a 34:homogeneous elements 427:Commutative algebra 317:commutative algebra 432:Algebraic geometry 374:algebraic geometry 230:Algebraic Geometry 61:algebraic geometry 389: 388: 332: 331: 285:978-0-387-90171-8 244:978-0-387-90244-9 225:Hartshorne, Robin 209:978-0-387-94269-8 123:Proj construction 109:and homogeneous, 46:homogeneous ideal 32:generated by the 449: 410: 403: 396: 368: 361: 353: 346: 339: 311: 304: 296: 255: 220: 173: 167: 161: 160:, Exercise I.2.4 155: 149: 148:, §VII.2, p. 154 143: 50:irrelevant ideal 42:projective space 22:irrelevant ideal 457: 456: 452: 451: 450: 448: 447: 446: 417: 416: 415: 414: 358: 357: 300: 286: 276:Springer-Verlag 245: 210: 200:Springer-Verlag 188:Eisenbud, David 182: 177: 176: 170:Hartshorne 1977 168: 164: 158:Hartshorne 1977 156: 152: 144: 140: 135: 12: 11: 5: 455: 445: 444: 439: 434: 429: 413: 412: 405: 398: 390: 387: 386: 369: 356: 355: 348: 341: 333: 330: 329: 312: 298: 297: 284: 264:Samuel, Pierre 260:Zariski, Oscar 256: 243: 221: 208: 181: 178: 175: 174: 162: 150: 137: 136: 134: 131: 111:radical ideals 9: 6: 4: 3: 2: 454: 443: 440: 438: 435: 433: 430: 428: 425: 424: 422: 411: 406: 404: 399: 397: 392: 391: 385: 383: 379: 375: 370: 367: 363: 362: 354: 349: 347: 342: 340: 335: 334: 328: 326: 322: 318: 313: 310: 306: 305: 301: 295: 291: 287: 281: 277: 273: 269: 265: 261: 257: 254: 250: 246: 240: 236: 232: 231: 226: 222: 219: 215: 211: 205: 201: 197: 193: 189: 184: 183: 171: 166: 159: 154: 147: 142: 138: 130: 128: 124: 120: 116: 112: 108: 107: 103: 97: 93: 90:, there is a 89: 85: 82: 78: 74: 70: 67: =  66: 62: 57: 55: 51: 47: 43: 39: 35: 31: 27: 23: 19: 382:expanding it 371: 325:expanding it 314: 299: 267: 228: 191: 165: 153: 141: 126: 118: 114: 105: 104:-space over 101: 83: 76: 68: 64: 58: 49: 38:affine space 21: 15: 100:projective 30:graded ring 18:mathematics 421:Categories 180:References 266:(1975), 227:(1977), 190:(1995), 94:between 294:0389876 253:0463157 218:1322960 172:, §II.2 54:radical 52:if its 24:is the 292:  282:  251:  241:  216:  206:  121:, the 88:degree 20:, the 372:This 315:This 133:Notes 63:. If 28:of a 26:ideal 378:stub 321:stub 280:ISBN 239:ISBN 204:ISBN 113:of 98:in 75:in 71:(a 16:In 423:: 290:MR 288:, 278:, 270:, 262:; 249:MR 247:, 233:, 214:MR 212:, 202:, 194:, 129:. 409:e 402:t 395:v 384:. 352:e 345:t 338:v 327:. 127:R 119:R 115:R 106:k 102:n 84:k 77:n 69:k 65:R

Index

mathematics
ideal
graded ring
homogeneous elements
affine space
projective space
homogeneous ideal
radical
algebraic geometry
multivariate polynomial ring
algebraically closed field
degree
bijective correspondence
projective algebraic sets
projective n-space over k
radical ideals
Proj construction
Zariski & Samuel 1975
Hartshorne 1977
Hartshorne 1977
Eisenbud, David
Graduate Texts in Mathematics
Springer-Verlag
ISBN
978-0-387-94269-8
MR
1322960
Hartshorne, Robin
Algebraic Geometry
Graduate Texts in Mathematics

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