207:
185:
87:
248:
161:
272:
241:
277:
234:
124:
106:
53:
267:
25:
66:
157:
167:
171:
99:
218:
214:
261:
129:
206:
119:
29:
17:
149:
98:
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
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.