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Stably free module

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A projective module is stably free if and only if it possesses a finite
222: 69: 156:(Third ed.), Reading, Mass.: Addison-Wesley, 81: 242: 8: 249: 235: 109:is stably free if and only if it is free. 68: 141: 7: 203: 201: 14: 205: 1: 221:. You can help Knowledge by 107:infinitely generated module 294: 200: 273:Free algebraic structures 82:{\displaystyle M\oplus F} 54:finitely generated module 28:which is close to being 125:Eilenberg–Mazur swindle 52:if there exists a free 217:-related article is a 83: 84: 278:Linear algebra stubs 67: 184:Lam, T. Y. (1978). 187:Serre's Conjecture 89:is a free module. 79: 22:stably free module 230: 229: 163:978-0-201-55540-0 285: 251: 244: 237: 209: 202: 192: 191: 181: 175: 174: 146: 88: 86: 85: 80: 293: 292: 288: 287: 286: 284: 283: 282: 258: 257: 256: 255: 198: 196: 195: 183: 182: 178: 164: 148: 147: 143: 138: 116: 100:free resolution 95: 65: 64: 38: 12: 11: 5: 291: 289: 281: 280: 275: 270: 260: 259: 254: 253: 246: 239: 231: 228: 227: 215:linear algebra 210: 194: 193: 176: 162: 140: 139: 137: 134: 133: 132: 127: 122: 115: 112: 111: 110: 103: 94: 91: 78: 75: 72: 37: 34: 13: 10: 9: 6: 4: 3: 2: 290: 279: 276: 274: 271: 269: 268:Module theory 266: 265: 263: 252: 247: 245: 240: 238: 233: 232: 226: 224: 220: 216: 211: 208: 204: 199: 190:. p. 23. 189: 188: 180: 177: 173: 169: 165: 159: 155: 151: 145: 142: 135: 131: 128: 126: 123: 121: 118: 117: 113: 108: 104: 101: 97: 96: 92: 90: 76: 73: 70: 62: 58: 55: 51: 47: 43: 35: 33: 31: 27: 23: 19: 223:expanding it 212: 197: 186: 179: 153: 144: 130:Hermite ring 60: 56: 49: 45: 44:over a ring 41: 39: 21: 15: 150:Lang, Serge 120:Free object 50:stably free 18:mathematics 262:Categories 172:0848.13001 136:References 93:Properties 63:such that 36:Definition 74:⊕ 40:A module 152:(1993), 114:See also 154:Algebra 170:  160:  26:module 213:This 59:over 24:is a 219:stub 158:ISBN 30:free 20:, a 168:Zbl 105:An 48:is 16:In 264:: 166:, 32:. 250:e 243:t 236:v 225:. 102:. 77:F 71:M 61:R 57:F 46:R 42:M

Index

mathematics
module
free
finitely generated module
free resolution
infinitely generated module
Free object
Eilenberg–Mazur swindle
Hermite ring
Lang, Serge
ISBN
978-0-201-55540-0
Zbl
0848.13001
Serre's Conjecture
Stub icon
linear algebra
stub
expanding it
v
t
e
Categories
Module theory
Free algebraic structures
Linear algebra stubs

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