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SBI ring

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213: 254: 150: 247: 187: 278: 240: 142: 32: 273: 93: 182:, Chicago Lectures in Mathematics (2nd ed.), University Of Chicago Press, pp. 124–125, 47: 25: 183: 146: 220: 193: 175: 164: 82: 55: 43: 17: 160: 197: 168: 156: 141:, American Mathematical Society, Colloquium Publications, vol. 37, Providence, R.I.: 134: 89: 39: 224: 75: 267: 79: 212: 97: 68: 58:
and stands for "suitable for building idempotent elements".
228: 248: 8: 255: 241: 54:. The abbreviation SBI was introduced by 117: 110: 96:denominator, and more generally, any 7: 209: 207: 78:is SBI: more generally, so is any 14: 211: 31:(with identity) such that every 1: 143:American Mathematical Society 227:. You can help Knowledge by 295: 206: 279:Abstract algebra stubs 223:-related article is a 139:Structure of rings 236: 235: 176:Kaplansky, Irving 152:978-0-8218-1037-8 286: 257: 250: 243: 221:abstract algebra 215: 208: 200: 180:Fields and Rings 171: 135:Jacobson, Nathan 121: 115: 90:rational numbers 83:topological ring 56:Irving Kaplansky 44:Jacobson radical 294: 293: 289: 288: 287: 285: 284: 283: 264: 263: 262: 261: 204: 190: 174: 153: 133: 130: 125: 124: 118:Jacobson (1956) 116: 112: 107: 71:radical is SBI. 64: 12: 11: 5: 292: 290: 282: 281: 276: 266: 265: 260: 259: 252: 245: 237: 234: 233: 216: 202: 201: 188: 172: 151: 129: 126: 123: 122: 109: 108: 106: 103: 102: 101: 86: 76:Banach algebra 72: 67:Any ring with 63: 60: 13: 10: 9: 6: 4: 3: 2: 291: 280: 277: 275: 272: 271: 269: 258: 253: 251: 246: 244: 239: 238: 232: 230: 226: 222: 217: 214: 210: 205: 199: 195: 191: 189:0-226-42451-0 185: 181: 177: 173: 170: 166: 162: 158: 154: 148: 144: 140: 136: 132: 131: 127: 119: 114: 111: 104: 99: 95: 91: 87: 84: 81: 77: 73: 70: 66: 65: 61: 59: 57: 53: 49: 45: 41: 38: 34: 30: 27: 23: 19: 229:expanding it 218: 203: 179: 138: 120:, p. 53 113: 88:The ring of 51: 36: 28: 21: 15: 274:Ring theory 268:Categories 198:1001.16500 169:0073.02002 128:References 98:local ring 33:idempotent 105:Citations 100:, is SBI. 178:(1972), 137:(1956), 62:Examples 22:SBI ring 161:0081264 80:compact 46:can be 18:algebra 196:  186:  167:  159:  149:  48:lifted 40:modulo 219:This 92:with 24:is a 20:, an 225:stub 184:ISBN 147:ISBN 74:Any 42:the 26:ring 194:Zbl 165:Zbl 94:odd 69:nil 50:to 35:of 16:In 270:: 192:, 163:, 157:MR 155:, 145:, 256:e 249:t 242:v 231:. 85:. 52:R 37:R 29:R

Index

algebra
ring
idempotent
modulo
Jacobson radical
lifted
Irving Kaplansky
nil
Banach algebra
compact
topological ring
rational numbers
odd
local ring
Jacobson (1956)
Jacobson, Nathan
American Mathematical Society
ISBN
978-0-8218-1037-8
MR
0081264
Zbl
0073.02002
Kaplansky, Irving
ISBN
0-226-42451-0
Zbl
1001.16500
Stub icon
abstract algebra

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